Part I · Foundations · Estimated reading time 105 minutes · Prerequisites: Chapter 1
In This Chapter
- Learning Objectives
- 2.1 Matter, Elements, and the Atoms That Matter in the Body
- 2.2 Atomic Structure, Isotopes, and Why Medicine Uses Radioactive Atoms
- 2.3 Chemical Bonds, and the One Idea Behind All of Them
- 2.4 Water: Four Properties, Four Physiological Consequences
- 2.5 Acids, Bases, pH, and Buffers
- 2.6 Chemical Reactions, Energy, ATP, and Enzymes
- 2.7 Carbohydrates
- 2.8 Lipids
- 2.9 Proteins and Nucleic Acids
- Chapter Summary
- Case File 2 · Resolution
- Systems Integration Case File · Entry 2
- Review
- Key Terms
2. Chemistry for A&P
Atoms, Molecules, Water, pH, and the Organic Molecules of Life
Case File 2 — "Everything on This Page Is a Molecule"
At 08:31, blood was drawn from Amara Osei's right antecubital fossa. By 09:20 the first results were on the screen. A second troponin was drawn at 14:30, six hours after the pain began.
Basic metabolic panel
| Analyte | Amara's value | Reference range | SI |
|---|---|---|---|
| Sodium (Na⁺) | 138 mEq/L | 135–145 | 138 mmol/L |
| Potassium (K⁺) | 4.1 mEq/L | 3.5–5.0 | 4.1 mmol/L |
| Chloride (Cl⁻) | 102 mEq/L | 98–107 | 102 mmol/L |
| Carbon dioxide (HCO₃⁻) | 24 mEq/L | 22–28 | 24 mmol/L |
| Blood urea nitrogen | 18 mg/dL | 7–20 | 6.4 mmol/L urea |
| Creatinine | 1.1 mg/dL | 0.6–1.1 | 97 µmol/L |
| Glucose (non-fasting) | 212 mg/dL | 70–99 fasting | 11.8 mmol/L |
| Calcium (total) | 9.2 mg/dL | 8.6–10.2 | 2.30 mmol/L |
| Anion gap (calculated) | 12 mEq/L | 8–12 | — |
Lipid panel (fasting was not possible; drawn on arrival)
| Analyte | Amara's value | Desirable | SI |
|---|---|---|---|
| Total cholesterol | 255 mg/dL | < 200 | 6.60 mmol/L |
| LDL cholesterol (calculated) | 168 mg/dL | < 100 | 4.35 mmol/L |
| HDL cholesterol | 38 mg/dL | > 50 (women) | 0.98 mmol/L |
| Triglycerides | 244 mg/dL | < 150 | 2.76 mmol/L |
| Non-HDL cholesterol | 217 mg/dL | < 130 | 5.62 mmol/L |
Cardiac and glycemic markers
| Analyte | Value | Reference |
|---|---|---|
| Troponin I, 08:45 | 0.09 ng/mL | < 0.04 |
| Troponin I, 14:30 | 2.4 ng/mL | < 0.04 |
| Hemoglobin A1c | 7.4 % | < 5.7 % (57 mmol/mol) |
| Arterial pH | 7.38 | 7.35–7.45 |
| Arterial PCO₂ | 42 mm Hg | 35–45 |
Three questions to hold on to. They are not diagnostic questions. They are chemistry questions, and every one of them is answerable by the end of this chapter.
- Sodium, potassium, chloride, and bicarbonate are reported in milliequivalents per litre; glucose, calcium, and cholesterol in milligrams per decilitre. Two different units for substances dissolved in the same tube of blood. What is being counted in each case — and why does the lab print "carbon dioxide" for a number that is really about acid?
- Her hemoglobin A1c is 7.4%. It is described as a three-month average blood sugar, yet the test does not measure sugar at all. What molecule is actually being measured, what chemical reaction produced it, and why does it look backwards in time?
- Cholesterol is one molecule. Her report gives it two numbers — LDL 168 and HDL 38 — that point in opposite clinical directions, and the LDL value was never measured at all. What are LDL and HDL, chemically, and how can the same molecule be dangerous in one and protective in the other?
Learning Objectives
By the end of this chapter you should be able to:
- Distinguish matter, element, atom, molecule, and compound, and name the four elements that constitute 96% of body mass.
- State the physiological role of at least eight trace elements and the deficiency syndrome each produces.
- Diagram atomic structure, determine valence, and predict from valence how many bonds carbon, nitrogen, oxygen, and hydrogen will form.
- Define isotope and radioisotope, explain half-life, and justify why radioisotopes are chemically undetectable to the body but visible to a detector.
- Use electronegativity to classify a bond as ionic, polar covalent, or nonpolar covalent, and predict the solubility behaviour that follows.
- Explain hydrogen bonding and account for why bonds one-twentieth the strength of covalent bonds determine the shape of every protein and both strands of DNA.
- Derive four physiological consequences from four properties of water — polarity, heat capacity, heat of vaporization, and cohesion.
- Convert between [H⁺] and pH, and state the arterial pH range and what lies outside it.
- Write the bicarbonate buffer equation, apply Le Châtelier's principle to it in both directions, use the Henderson–Hasselbalch relationship to reproduce Amara's pH from her bicarbonate and PCO₂, and explain why this system dominates extracellular buffering despite an apparently unfavourable pKa.
- Classify chemical reactions, distinguish exergonic from endergonic, and describe how ATP couples them.
- Explain how an enzyme accelerates a reaction, and name four variables that change reaction rate.
- Compare the four classes of biological macromolecule by monomer, bond, and function, and describe dehydration synthesis and hydrolysis.
- Distinguish enzymatic glycosylation from non-enzymatic glycation, and explain what HbA1c measures and over what interval.
- Describe triglycerides, phospholipids, and steroids, and explain how amphipathic molecules self-assemble into micelles and bilayers.
- Compare the major lipoproteins and explain why LDL and HDL carry opposite risk.
- Describe the four levels of protein structure and what denaturation destroys and spares, and the structure of DNA, RNA, and ATP as nucleotide polymers and derivatives.
2.1 Matter, Elements, and the Atoms That Matter in the Body
Matter is anything that occupies space and has mass. That is the whole definition, and it covers everything in this book: the calcium in Amara's bones, the air in her alveoli, the plasma her troponin is dissolved in. Energy — the capacity to do work — is not matter. It has no mass and takes up no space, and the entire discipline of physiology is a description of matter being rearranged by energy.
Note the distinction between mass and weight, because clinical measurements depend on it. Mass is the amount of matter in an object and does not change. Weight is the force gravity exerts on that mass. A 79.8 kg patient has the same mass in an ambulance, on the moon, and in free fall; her weight differs in all three. Laboratory chemistry uses mass exclusively.
Elements
An element is a substance that cannot be broken into simpler substances by ordinary chemical means. Each is defined by a single number — how many protons its atoms carry — and is represented by a one- or two-letter symbol drawn from its Latin or English name: Na from natrium for sodium, K from kalium for potassium, Fe from ferrum for iron.
An atom is the smallest unit of an element that retains its properties. A molecule is two or more atoms bonded together; if the atoms are of different elements, the substance is a compound. So O₂ is a molecule but not a compound; H₂O is both; and a lone iron atom sitting in a heme group is neither.
Of the 118 known elements, roughly 24 are present in the human body in measurable amounts, and about 20 have an established function. Four of them account for 96.1% of body mass.
| Element | Symbol | % body mass | What it is doing |
|---|---|---|---|
| Oxygen | O | 65.0 | Mostly bound in water; terminal electron acceptor in ATP production |
| Carbon | C | 18.5 | The skeleton of every organic molecule |
| Hydrogen | H | 9.5 | In water and in every organic molecule; as H⁺ it sets pH |
| Nitrogen | N | 3.2 | In every amino acid and every nucleotide base |
| Calcium | Ca | 1.5 | 99% in bone mineral; the remainder signals muscle contraction and clotting |
| Phosphorus | P | 1.0 | Bone mineral, ATP, DNA backbone, phospholipids, buffering |
| Potassium | K | 0.4 | The dominant intracellular cation; sets resting membrane potential |
| Sulfur | S | 0.3 | In cysteine and methionine; disulfide bridges fold proteins |
| Sodium | Na | 0.2 | The dominant extracellular cation; sets extracellular fluid volume |
| Chlorine | Cl | 0.2 | The dominant extracellular anion; gastric HCl |
| Magnesium | Mg | 0.1 | Cofactor for over 300 enzymes, including every one that touches ATP |
| Iodine | I | 0.02 | Only known role: thyroid hormone |
| Iron | Fe | 0.01 | Oxygen binding in hemoglobin and myoglobin; electron transport |
Predict This
Oxygen is 65% of your body by mass. Before reading on, predict which element is most abundant by atom count — that is, if you could line up every atom in your body and count them one at a time, which would you count most often?
(Answer: hydrogen, by a wide margin — about 62% of all atoms in the body, against 24% for oxygen and 12% for carbon. The reversal happens because a hydrogen atom has roughly one sixteenth the mass of an oxygen atom. Two thirds of your atoms are hydrogen; two thirds of your mass is not. Both statements are true, and confusing them is one of the commonest errors in introductory chemistry.)
The trace elements
A trace element constitutes less than 0.01% of body mass. The total mass of all of them together in Amara's 79.8 kg body is under 15 grams. Their significance is entirely out of proportion to that mass, because almost every one sits at the catalytic centre of an enzyme or a carrier protein — positions where a single atom does the work of the whole molecule.
| Trace element | Where it sits | What happens without it |
|---|---|---|
| Iron (Fe) | Heme in hemoglobin, myoglobin, cytochromes | Iron-deficiency anemia; fatigue, pallor, reduced oxygen carriage (Ch. 17) |
| Iodine (I) | Thyroxine (T₄) and triiodothyronine (T₃) | Goiter, hypothyroidism; in the fetus, irreversible cognitive impairment (Ch. 16) |
| Zinc (Zn) | > 300 enzymes; carbonic anhydrase; zinc-finger transcription factors | Impaired wound healing, poor immunity, loss of taste, growth failure |
| Copper (Cu) | Cytochrome c oxidase; lysyl oxidase, which cross-links collagen and elastin | Anemia, fragile connective tissue and vessels, neuropathy |
| Selenium (Se) | Glutathione peroxidase; deiodinases that activate thyroid hormone | Cardiomyopathy (Keshan disease); impaired antioxidant defence |
| Manganese (Mn) | Mitochondrial superoxide dismutase; bone matrix enzymes | Skeletal abnormalities, impaired antioxidant defence |
| Cobalt (Co) | The single atom at the centre of vitamin B₁₂ | Pernicious anemia; demyelination of the posterior spinal columns |
| Chromium (Cr) | Enhances insulin signalling | Impaired glucose tolerance |
| Molybdenum (Mo) | Xanthine oxidase; sulfite oxidase | Disordered sulfur and purine metabolism |
| Fluorine (F) | Substitutes into bone and enamel hydroxyapatite | Increased dental caries; in excess, mottled enamel |
Read that table for the pattern rather than the list. In nearly every row, one atom of a metal sits in the active site of a protein and performs an electron transaction the protein's amino acids cannot perform on their own. Proteins are built from atoms that are poor at handling single electrons — carbon, hydrogen, oxygen, nitrogen, sulfur. Transition metals excel at it, because they hold several accessible oxidation states. So biology recruits them, one atom at a time, and inserts them where the chemistry is hard. Iron sits at the centre of heme because iron can hold O₂ reversibly and carbon cannot.
Clinical Connection · One Atom, One Disease
Four of the trace elements above cause diseases so specific that the deficiency can be read back from the symptom.
- Iodine. The thyroid gland is the only tissue in the body that concentrates iodide, and thyroid hormone is the only molecule that uses it. Without dietary iodine the gland cannot build hormone; the pituitary detects the shortfall and drives the gland harder; and the gland enlarges into a goiter — a structure that is working maximally and producing nothing. Universal salt iodization, begun in the 1920s, is one of the most successful public health interventions ever undertaken, and the mechanism it exploits is one atom in one molecule.
- Iron. Each hemoglobin molecule holds four heme groups and each heme holds one iron atom, which binds one O₂. No iron, no oxygen carriage. An adult body contains roughly 4 g of iron — about the mass of a small nail — and about 2.5 g of it is circulating inside red cells at any moment. Amara's complete blood count arrives in Chapter 17, and her iron studies with it.
- Cobalt. Vitamin B₁₂ is built around a single cobalt atom held in a corrin ring. Humans cannot synthesize the ring and must absorb the intact vitamin using a stomach-derived carrier called intrinsic factor. Lose the carrier and you lose the atom, and the consequence is a megaloblastic anemia with irreversible spinal cord degeneration.
- Copper. Lysyl oxidase, the enzyme that cross-links collagen and elastin into load-bearing fibres, requires copper at its active site. Copper deficiency therefore produces fragile blood vessels and defective bone — a connective tissue disease caused by a trace metal deficiency, which is exactly the kind of cross-level reasoning Chapter 1 described.
In every case the pathology reveals the normal mechanism, and the mechanism is atomic.
The four in Amara's panel
Look back at her basic metabolic panel. Sodium, potassium, chloride, and calcium are four of the lesser elements from the table above, and the lab is not reporting them as elements at all. It is reporting them as ions — charged atoms dissolved in her plasma. Sodium metal reacts violently with water and chlorine gas was used as a chemical weapon; Na⁺ and Cl⁻ are the two most abundant solutes in her extracellular fluid and are entirely benign. Gaining or losing a single electron changes an element's behaviour completely, and §2.3 explains why.
Check Your Understanding 2.1
- Oxygen is 65% of body mass and hydrogen is 9.5%, yet water is 2 parts hydrogen to 1 part oxygen and makes up 50–60% of the body. Reconcile these numbers.
- A patient has a normal total-body iron content but a severe copper deficiency. Predict two findings and name the mechanism for each.
- Why would a deficiency of a trace element that constitutes 0.00004% of body mass be more rapidly lethal than a deficiency of calcium, which constitutes 1.5%?
Show answers
- There are twice as many hydrogen atoms as oxygen atoms in water, but each oxygen atom has about 16 times the mass of a hydrogen atom. In one water molecule of mass 18, oxygen contributes 16 and the two hydrogens contribute 2 — so water is 89% oxygen by mass. The count and the mass answer different questions. Additionally, oxygen appears in nearly every organic molecule as well as in water, while hydrogen's mass contribution stays small wherever it appears.
- Anemia, because copper-dependent enzymes are required to mobilize and load iron into heme — so iron stores can be normal while the iron is unusable. And fragile connective tissue: blood vessels that rupture easily, poor wound healing, and bone abnormality, because copper-dependent lysyl oxidase cross-links collagen and elastin, and uncross-linked fibres have a fraction of their normal tensile strength. This is a good demonstration that "adequate iron" and "adequate iron handling" are different statements.
- Because abundance does not measure importance — irreplaceability does. Calcium is present in kilogram quantities largely as structural bone mineral, and the body holds a 99% reserve it can draw on for weeks. A trace metal at an enzyme's active site has no reserve and no substitute: if cobalt is absent, no B₁₂ exists, and no other atom can occupy the corrin ring. Physiological importance tracks the function an atom performs and the availability of a backup, not the mass present.
2.2 Atomic Structure, Isotopes, and Why Medicine Uses Radioactive Atoms
The three particles
An atom has a dense central nucleus containing protons (charge +1) and neutrons (charge 0), surrounded by a diffuse cloud of electrons (charge −1). Protons and neutrons each have a mass of approximately 1 atomic mass unit (amu, or dalton). An electron has 1/1836 of that, which is why the mass of an atom is effectively the mass of its nucleus and why electrons — nearly massless — nonetheless determine every chemical property the atom has.
The scale is worth pausing on. If a hydrogen nucleus were a marble on the centre spot of a football stadium, its single electron would be somewhere out in the stands, and everything in between would be empty. Atoms are, dimensionally, almost entirely nothing. The reason your hand does not pass through a table is not that atoms are solid; it is that the electron clouds of the two surfaces repel each other electrically.
THE ATOM — THREE PARTICLES, TWO REGIONS, ONE RULE THAT MATTERS
══════════════════════════════════════════════════════════════════════
NUCLEUS diameter ~10^-14 m · >99.9% of the atom's MASS
┌────────────────────────────────────────────────────────────────┐
│ PROTON p+ charge +1 mass 1 amu │
│ number of protons = ATOMIC NUMBER (Z) = the ELEMENT │
│ NEUTRON n0 charge 0 mass 1 amu │
│ varying the neutrons = ISOTOPES of the same element │
└────────────────────────────────────────────────────────────────┘
ELECTRON CLOUD diameter ~10^-10 m · <0.1% of the MASS
ELECTRON e- charge -1 mass 1/1836 amu
→ determines ALL chemical behaviour. Chemistry is electrons.
MASS NUMBER = protons + neutrons ATOMIC NUMBER = protons
══════════════════════════════════════════════════════════════════════
SHELL FILLING shell 1 holds 2 shell 2 holds 8
shell 3 holds 8 (18 when deeper shells fill)
The OCTET RULE: an atom is stable when its VALENCE (outermost) shell
holds 8 electrons — or 2, if shell 1 is the only shell it has.
Everything an atom does chemically is an attempt to reach that state.
══════════════════════════════════════════════════════════════════════
VALENCE IS DESTINY
Element Z shell1 shell2 shell3 valence e- to reach octet →
──────────────────────────────────────────────────────────────────
H 1 1 - - 1 share 1 → 1 BOND
C 6 2 4 - 4 share 4 → 4 BONDS
N 7 2 5 - 5 share 3 → 3 BONDS
O 8 2 6 - 6 share 2 → 2 BONDS
Na 11 2 8 1 1 LOSE 1 → Na+
Mg 12 2 8 2 2 LOSE 2 → Mg2+
P 15 2 8 5 5 share 5 (or 3)
S 16 2 8 6 6 share 2 (or 6)
Cl 17 2 8 7 7 GAIN 1 → Cl-
K 19 2 8 8 +1 1 LOSE 1 → K+
Ca 20 2 8 8 +2 2 LOSE 2 → Ca2+
──────────────────────────────────────────────────────────────────
╭───────────╮ ╭───────────╮ ╭───────────╮
│ ● ● │ │ ● ● │ │ ● ● │
│ ● 6p+ │ │ ● 8p+ ●│ │ ● 11p+ │
│ ● 6n0 ●│ │ ● ● 8n0 ● │ │ ● 12n0 ●│
│ ● ● │ │ ● ● ● ● │ │ ● ● ● ● ●│ ● ← lone
╰───────────╯ ╰───────────╯ ╰───────────╯ outer e-
CARBON OXYGEN SODIUM
4 of 8 — must 6 of 8 — needs 1 spare — easier
share four two more to LOSE than gain 7
→ 4 bonds; the → 2 bonds; H2O → becomes Na+ and
backbone of and every behaves like a
organic life C=O group different substance
Figure 2.1 — Atomic structure, shell filling, and why valence predicts bonding.
Described: An atom has two regions. The nucleus, about ten femtometres across, holds more than 99.9% of the atom's mass and contains protons of charge plus one and mass one atomic mass unit, and neutrons of charge zero and mass one atomic mass unit. The number of protons is the atomic number and defines which element the atom is; varying the neutron number produces isotopes of that same element. Surrounding the nucleus, and about ten thousand times wider, is the electron cloud, contributing less than a tenth of one percent of the mass; each electron carries charge minus one and one eighteen-hundred-thirty-sixth of an atomic mass unit, and electrons determine all chemical behaviour. Mass number equals protons plus neutrons. Electron shells fill in order: the first holds two electrons, the second holds eight, the third holds eight before deeper shells begin to fill. The octet rule states that an atom is stable when its outermost, or valence, shell holds eight electrons, or two if the first shell is the only one present. A table shows that hydrogen with one valence electron forms one bond; carbon with four forms four; nitrogen with five forms three; oxygen with six forms two; sodium with one loses it to become Na⁺; magnesium loses two to become Mg²⁺; chlorine with seven gains one to become Cl⁻; potassium loses one to become K⁺; and calcium loses two to become Ca²⁺. Three shell diagrams compare carbon, which holds four of eight outer electrons and must share four, making it the backbone of organic molecules; oxygen, which holds six and needs two more, giving it two bonds as in water and every carbonyl group; and sodium, which holds a single spare outer electron it loses more easily than it could gain seven, becoming an ion that behaves like an entirely different substance.
Isotopes
All atoms of one element have the same number of protons — that is what makes them that element. They need not have the same number of neutrons. Atoms of the same element with different neutron numbers are isotopes, and they are written with the mass number after the name or as a superscript: carbon-12, carbon-13, carbon-14, or ¹²C, ¹³C, ¹⁴C.
Here is the fact that makes nuclear medicine possible, and it is worth stating twice.
Isotopes of an element are chemically identical. Chemistry is a property of electrons, and isotopes differ only in the nucleus. Every enzyme, every transporter, every receptor in the body treats ¹³¹I exactly as it treats ¹²⁷I, because from the outside they are indistinguishable.
Naturally occurring elements are mixtures of isotopes, which is why the atomic weight on the periodic table is rarely a whole number: it is the mass-weighted average of the naturally occurring mixture. Chlorine's atomic weight is 35.45 because natural chlorine is about 76% ³⁵Cl and 24% ³⁷Cl.
Radioisotopes and half-life
Some isotopes have nuclei that are unstable. They decay — reorganize spontaneously into a more stable configuration — and emit particles or energy in the process. These are radioisotopes, and their emissions come in three principal forms.
| Emission | What it is | Penetration | Medical use |
|---|---|---|---|
| Alpha (α) | Helium nucleus: 2 protons + 2 neutrons | Stopped by paper or skin | Rarely imaging; targeted therapy, because energy is deposited in a few cell diameters |
| Beta (β) | A high-energy electron (or positron) ejected from the nucleus | A few millimetres of tissue | Therapy — destroys tissue locally; positron emitters are the basis of PET |
| Gamma (γ) | Pure electromagnetic energy, no mass | Passes through the body | Imaging — it must escape the body to reach a detector |
Half-life (t½) is the time for half of a sample's radioactive atoms to decay. It is a constant of the isotope and cannot be altered by temperature, pressure, or chemical environment. It is also the single most important practical property of a medical radioisotope, because it sets the compromise between two competing demands: the isotope must last long enough to be delivered and to reach its target, and it must disappear fast enough that the patient is not irradiated for weeks afterwards.
| Isotope | t½ | Emission | Use |
|---|---|---|---|
| Technetium-99m | 6.0 h | γ | The workhorse — bone scans, myocardial perfusion, renal and lung scans |
| Fluorine-18 | 110 min | β⁺ (positron) | PET, as fluorodeoxyglucose (FDG) |
| Iodine-123 | 13.2 h | γ | Thyroid imaging |
| Iodine-131 | 8.0 d | β⁻ and γ | Thyroid treatment — the β destroys the tissue that concentrated it |
| Thallium-201 | 73 h | γ | Myocardial perfusion; behaves like K⁺ and enters live myocytes |
| Xenon-133 | 5.2 d | γ | Ventilation scanning — an inert gas that is inhaled |
| Carbon-14 | 5,730 y | β⁻ | Research and radiocarbon dating; too long-lived for routine imaging |
Note technetium-99m's 6-hour half-life against carbon-14's 5,730 years. After 24 hours — four half-lives — only 6% of an injected ⁹⁹ᵐTc dose is still radioactive; after 60 hours, essentially none. That is why it is the most-used medical isotope in the world.
Imaging · PET, and the Sugar That Cannot Finish Its Journey
Positron emission tomography is the most elegant application of isotope chemistry in medicine, and it depends on three separate ideas stacking.
First, the chemistry. Take an ordinary glucose molecule and replace the hydroxyl group on carbon 2 with a fluorine-18 atom. The result is fluorodeoxyglucose, FDG. Because chemistry is electrons and FDG's electron structure closely resembles glucose's, every glucose transporter in the body accepts it, and hexokinase — the first enzyme of glycolysis — phosphorylates it to FDG-6-phosphate exactly as it would phosphorylate glucose (§2.7).
Second, the trap. The next enzyme in glycolysis cannot act on FDG-6-phosphate, because the missing hydroxyl is the very group that step requires. And the added phosphate carries two negative charges, which prevent the molecule from crossing a membrane back out of the cell (§2.4, and Chapter 3). FDG therefore accumulates inside cells in direct proportion to how avidly they take up and phosphorylate glucose. The image is a map of glucose consumption.
Third, the physics. Fluorine-18 emits a positron — an electron's antimatter twin. The positron travels roughly a millimetre, meets an ordinary electron, and the two annihilate, converting their entire mass into two 511 keV gamma photons that depart in exactly opposite directions. A ring of detectors surrounding the patient registers pairs of photons arriving simultaneously and draws a line between them. Millions of such lines are reconstructed into a three-dimensional map of where the annihilations occurred.
The result: brain, heart, and tumour tissue — the body's greediest glucose consumers — appear bright. PET therefore images function rather than structure, which is why it is normally fused with a CT acquired in the same session (Chapter 1, §1.8). In cardiology, a region of myocardium that takes up FDG but shows no perfusion is muscle that is alive but starving — "hibernating" tissue that will recover if flow is restored. That distinction, between muscle worth revascularizing and scar that is not, is a question Amara's team will eventually ask.
Clinical Connection · Radioiodine — Using the Body's Own Selectivity as a Delivery System
The thyroid gland is the only tissue in the body that actively concentrates iodide, which it does through a membrane pump called the sodium–iodide symporter (Chapter 3, §3.4). It can raise intracellular iodide to 20–40 times the plasma concentration and, when driven hard, far more. That pump cannot distinguish ¹²⁷I from ¹³¹I, because the two are chemically identical.
So a physician can hand a patient a capsule of ¹³¹I, and the patient's own thyroid will concentrate the isotope into itself. Iodine-131 emits a beta particle that travels only about 2 mm in tissue — far enough to destroy thyroid follicular cells, not far enough to reach much else. Overactive thyroid tissue is ablated; thyroid cancer cells that have metastasized to bone or lung are destroyed wherever they sit, because they carry the pump with them.
Read that mechanism carefully, because it is a template. The drug is not targeted; the physiology does the targeting. The same logic explains why the same isotope is a hazard after a reactor accident — the released ¹³¹I is concentrated by the thyroids of exposed children, causing thyroid cancer — and why the countermeasure is to flood the gland with ordinary potassium iodide so the pump saturates and the radioactive form is excluded. One mechanism, run forwards for therapy and backwards for prophylaxis.
Check Your Understanding 2.2
- An isotope with a half-life of 6 hours is injected at 08:00. What fraction remains radioactive at 20:00? At 08:00 the next morning?
- Why must an imaging isotope emit gamma rays while a therapeutic isotope should emit beta or alpha particles?
- A patient asks whether the radioactive tracer will "change her body chemistry." Answer her in two sentences, using the concept of the isotope correctly.
Show answers
- From 08:00 to 20:00 is 12 hours, or two half-lives: 1/2 × 1/2 = one quarter remains. To 08:00 the next day is 24 hours, or four half-lives: (1/2)⁴ = 1/16, about 6%.
- Because they have opposite requirements. An imaging isotope must be detected from outside the body, so its emission has to penetrate several centimetres of tissue and escape — that is a gamma ray, which is pure energy and passes through. A therapeutic isotope must deposit its energy in the target and nowhere else, so its emission should stop within a few cell diameters — that is an alpha or beta particle. Penetration is desirable for one purpose and a liability for the other.
- No. A radioactive isotope of an element has exactly the same number of electrons as the ordinary form, and chemical behaviour is entirely a property of electrons — so her enzymes, transporters, and receptors handle the tracer identically to the ordinary atom. The only difference is in the nucleus, which decays and emits energy the scanner can detect; the quantity of tracer given is chemically trivial, typically far less than a milligram.
2.3 Chemical Bonds, and the One Idea Behind All of Them
Most textbooks present the bond types as a list to memorize. They are better understood as one continuum, and the variable that generates the continuum is electronegativity.
Electronegativity is a measure of how strongly an atom pulls on shared electrons. On the Pauling scale it runs from about 0.7 to 4.0, and only a handful of values matter for physiology.
| Atom | Electronegativity | Atom | Electronegativity |
|---|---|---|---|
| Fluorine (F) | 3.98 | Sulfur (S) | 2.58 |
| Oxygen (O) | 3.44 | Carbon (C) | 2.55 |
| Chlorine (Cl) | 3.16 | Hydrogen (H) | 2.20 |
| Nitrogen (N) | 3.04 | Phosphorus (P) | 2.19 |
| Iodine (I) | 2.66 | Magnesium (Mg) | 1.31 |
| — | — | Calcium (Ca) | 1.00 |
| — | — | Sodium (Na) | 0.93 |
| — | — | Potassium (K) | 0.82 |
Now take any two atoms and subtract. The difference (ΔEN) tells you what kind of bond forms.
THE BOND CONTINUUM — ONE AXIS, FOUR NAMES
══════════════════════════════════════════════════════════════════════
ΔEN 0.0 ──────── 0.4 ──────────── 1.8 ──────────────────────► 3.3
│ │ │
NONPOLAR COVALENT │ POLAR COVALENT│ IONIC
electrons shared │ shared but │ electron TRANSFERRED
equally │ pulled to one │ → two IONS that then attract
│ side │
─────────────────────────────────────────────────────────────────────
C-C ΔEN 0.00 ───┤ │ Na-Cl ΔEN 2.23
C-H ΔEN 0.35 ───┤ │ K-Cl ΔEN 2.34
│ O-H ΔEN 1.24 ┤ Ca-O ΔEN 2.44
│ N-H ΔEN 0.84 ┤
│ C-O ΔEN 0.89 ┤
│ C-N ΔEN 0.49 ┤
─────────────────────────────────────────────────────────────────────
═════════ THE FOUR BONDS SIDE BY SIDE ═══════════════════════════════
1 IONIC Na ● ─────→ ●●●●●●● Cl
ΔEN > 1.8 Na loses its lone outer e-; Cl gains it
~300-400 kJ/mol [Na]+ [Cl]- now attract electrostatically
in a dry crystal
BUT only ~5 kJ/mol In WATER the lattice falls apart:
once dissolved! NaCl → Na+ + Cl-
These are ELECTROLYTES — they conduct current
and they are what a metabolic panel reports.
2 NONPOLAR COVALENT H : C : H electrons sit midway
ΔEN < 0.4 charge is even; no partial charges
~350-420 kJ/mol → the molecule is HYDROPHOBIC
→ fats, oils, steroid rings, membrane cores
3 POLAR COVALENT δ- electrons pulled
ΔEN 0.4-1.8 O toward O
~460 kJ/mol (O-H) / \ → PARTIAL charges
δ+ H H δ+ → the molecule is a
permanent DIPOLE
→ water, sugars, amino acids: HYDROPHILIC
4 HYDROGEN BOND δ+H──Oδ- ······· δ-O──Hδ+
~5-20 kJ/mol an attraction, NOT a bond between atoms:
1/20th of a a δ+ H already bonded to O, N, or F is
covalent bond attracted to a nearby δ- O, N, or F
Individually trivial. Collectively decisive:
they hold water together, coil the alpha helix,
zip the two strands of DNA, and set the shape
of every protein you own.
═════════ ALSO PRESENT, ALSO WEAK, ALSO ESSENTIAL ═══════════════════
VAN DER WAALS ~1-4 kJ/mol fleeting dipoles between any two atoms
that come very close. Vast numbers of
them hold a folded protein's core shut.
HYDROPHOBIC INTERACTION not an attraction at all — nonpolar
groups are pushed together because WATER
is more stable when it is not forced to
cage them. Drives membrane formation.
Figure 2.2 — The four bond types arranged on a single electronegativity-difference axis.
Described: A single horizontal axis of electronegativity difference runs from zero to about 3.3. Below 0.4 the bond is nonpolar covalent, with electrons shared equally; between 0.4 and 1.8 it is polar covalent, with electrons shared but pulled toward one atom; above 1.8 an electron is transferred outright and the bond is ionic. Representative values are placed along the axis: carbon-to-carbon at zero and carbon-to-hydrogen at 0.35 in the nonpolar region; carbon-to-nitrogen at 0.49, nitrogen-to-hydrogen at 0.84, carbon-to-oxygen at 0.89, and oxygen-to-hydrogen at 1.24 in the polar region; sodium chloride at 2.23, potassium chloride at 2.34, and calcium oxide at 2.44 in the ionic region. Four bond types are then compared. An ionic bond forms when sodium donates its single outer electron to chlorine, producing Na⁺ and Cl⁻ that attract electrostatically; the bond is strong in a dry crystal, roughly three to four hundred kilojoules per mole, but weakens to about five kilojoules per mole in water, where the lattice dissociates into free ions called electrolytes. A nonpolar covalent bond, such as carbon to hydrogen, shares electrons evenly, produces no partial charges, and makes molecules hydrophobic — the chemistry of fats, oils, steroid rings, and membrane interiors. A polar covalent bond, such as the oxygen-to-hydrogen bonds of water, pulls electrons toward the more electronegative atom, creating a partial negative charge there and partial positive charges on the hydrogens; such molecules are permanent dipoles and are hydrophilic. A hydrogen bond, at five to twenty kilojoules per mole roughly one twentieth the strength of a covalent bond, is an attraction between a partially positive hydrogen already bonded to oxygen, nitrogen, or fluorine and a nearby partially negative oxygen, nitrogen, or fluorine; individually trivial and collectively decisive, hydrogen bonds hold water together, coil the alpha helix, join the two strands of DNA, and set the shape of every protein. Two further weak interactions are noted: van der Waals forces of one to four kilojoules per mole, arising from fleeting dipoles between any two closely approaching atoms and, in large numbers, holding a folded protein's core closed; and the hydrophobic interaction, which is not an attraction at all but the consequence of water being more stable when it is not forced to cage nonpolar groups, and which drives membrane formation.
Ionic bonds, ions, and why the lab reports milliequivalents
When ΔEN exceeds about 1.8, one atom does not merely pull harder on the shared electrons — it takes them. The donor becomes a positively charged cation; the acceptor becomes a negatively charged anion; and the two attract. In dry solid sodium chloride, that attraction locks billions of ions into a crystal lattice, and the bond is strong.
Put that crystal in water and the situation reverses. Water molecules, being strong dipoles, crowd around each ion and screen its charge so effectively that the lattice falls apart. The result is a solution of free electrolytes — ions that conduct electricity and that are the substrate of every electrical event in the body.
This is the answer to Amara's first case question. Sodium, potassium, chloride, and bicarbonate are reported in milliequivalents per litre because their physiological job is electrical and osmotic, not chemical mass. An equivalent is one mole of charge. For an ion with a single charge, mEq/L and mmol/L are numerically identical — her sodium of 138 mEq/L is 138 mmol/L. For a divalent ion they differ by a factor of two: her calcium of 9.2 mg/dL is 2.30 mmol/L, which is 4.60 mEq/L, because each calcium ion carries two charges.
Why does it matter? Because the body balances charge, not mass. The sum of the cations in plasma must equal the sum of the anions — plasma is electrically neutral to a fantastic degree of precision. That constraint is what makes the anion gap meaningful:
Anion gap = Na⁺ − (Cl⁻ + HCO₃⁻) = 138 − (102 + 24) = 12 mEq/L (normal 8–12)
The gap is not a real gap. It is the concentration of anions the panel does not measure — mostly plasma proteins, plus phosphate, sulfate, and organic acids. When an unmeasured acid floods the plasma, its anion joins that pool and the gap widens. Amara's gap is 12: at the top of normal, but normal. Hold that number; §2.5 shows exactly how much it tells you.
Covalent bonds
When two atoms of similar electronegativity meet, neither can strip the other, and they share. A shared pair is a single bond; two shared pairs a double bond; three a triple bond. Covalent bonds are the strongest bonds in the body — 350 to 460 kJ/mol — which is precisely why they are used for structure. A protein's backbone must not come apart because the temperature rose a degree.
The distinction that matters physiologically is not single versus double but polar versus nonpolar:
- Nonpolar covalent (C–C, C–H, ΔEN < 0.4). No partial charges. Water cannot form favourable interactions with these regions, so molecules built mostly from them are hydrophobic. Every fat, oil, steroid, and membrane interior in the body is a mass of C–C and C–H bonds.
- Polar covalent (O–H, N–H, C=O, ΔEN 0.4–1.8). Electrons sit closer to the more electronegative atom, giving it a partial negative charge (δ−) and leaving a partial positive charge (δ+) behind. Water can hydrogen-bond to these regions, so molecules containing many of them are hydrophilic.
That single division — polar versus nonpolar — predicts where a molecule goes in the body, how it is transported, whether it crosses a membrane unaided, how it is excreted, and how a drug must be formulated. It is the most useful single sorting rule in this chapter.
Hydrogen bonds
A hydrogen bond forms when a hydrogen already covalently bonded to O, N, or F — and therefore carrying a substantial δ+ because those atoms have pulled its electron away — is attracted to a δ− oxygen, nitrogen, or fluorine on another molecule or another part of the same molecule.
At 5–20 kJ/mol, a hydrogen bond is roughly one twentieth the strength of a covalent bond. Thermal motion at body temperature breaks and reforms hydrogen bonds on a picosecond timescale. And yet:
- Liquid water exists at body temperature only because of hydrogen bonds (§2.4).
- The α-helix holds its shape because every backbone C=O hydrogen-bonds to the N–H four residues along the chain (§2.9).
- The two strands of DNA are held together entirely by hydrogen bonds — two between A and T, three between G and C (§2.9).
- Every enzyme recognizes its substrate largely through hydrogen bonds.
The design logic is exact. Structures that must be permanent are held by covalent bonds. Structures that must be specific but reversible — a substrate binding an enzyme, a hormone binding a receptor, two DNA strands separating for replication and rejoining afterwards — are held by large numbers of weak bonds. Individually each is trivial to break. Collectively they require a precise complementary shape, and they release on demand. Weakness, deployed in bulk, is the mechanism of biological specificity.
Thread 1 · Structure Determines Function — at the Scale of a Bond
Chapter 1 argued that anatomy is predictive. It is predictive further down than you might expect. Give a molecule's bond types and you can predict its physiology:
| If the molecule is mostly… | Then it will… | Example |
|---|---|---|
| Nonpolar covalent bonds | Be insoluble in plasma; require a carrier; cross membranes easily; accumulate in fat; be excreted slowly | Cholesterol, steroid hormones, anesthetics |
| Polar covalent bonds | Dissolve freely in plasma; need a channel or carrier to cross membranes; be filtered by the kidney | Glucose, amino acids, urea |
| Ionic dissociation | Conduct current; generate osmotic pressure; be excluded from membrane interiors absolutely | Na⁺, K⁺, Cl⁻, Ca²⁺ |
Amara's LDL of 168 mg/dL exists as a problem because cholesterol is nonpolar. A molecule that dissolved in plasma would need no carrier particle, would not be retained in an arterial wall, and would not build a plaque. The entire pathology of atherosclerosis descends from the electronegativity of carbon and hydrogen being nearly identical.
Check Your Understanding 2.3
- Using the electronegativity table, classify the S–H bond and the Mg–O bond.
- Amara's calcium is 9.2 mg/dL. Express it in mEq/L and explain why the two numbers differ by a factor of two while her sodium's do not.
- DNA's two strands must separate for replication, then rejoin faithfully. Explain why they are held by hydrogen bonds and not covalent bonds — and predict what heating a DNA solution would do.
Show answers
- S–H: 2.58 − 2.20 = 0.38, just below 0.4, so nonpolar covalent — which is why the thiol group of cysteine sits comfortably in a protein's hydrophobic interior and why thiols are so much weaker acids than alcohols. Mg–O: 3.44 − 1.31 = 2.13, above 1.8, so ionic — magnesium exists in the body as Mg²⁺.
- 9.2 mg/dL ÷ 4.008 = 2.30 mmol/L; each Ca²⁺ carries two charges, so 2.30 × 2 = 4.60 mEq/L. Sodium is monovalent — one ion carries one charge — so its millimolar and milliequivalent numbers are identical. Equivalents count charge; moles count particles; the two coincide only for singly charged ions.
- Because the strands must separate routinely and reversibly, at body temperature, using an enzyme rather than brute force. Covalent bonds at 350+ kJ/mol could not be opened without destroying the molecule. Hydrogen bonds at 2–3 per base pair are individually weak enough to unzip, while the sheer number along a chromosome makes accidental separation essentially impossible and makes the pairing exquisitely specific. Heating a DNA solution melts it — the strands separate — and cooling allows them to re-anneal. This is precisely the mechanism exploited by every PCR machine on earth, and GC-rich DNA melts at a higher temperature than AT-rich DNA because G–C pairs make three hydrogen bonds and A–T pairs only two.
2.4 Water: Four Properties, Four Physiological Consequences
Water is 50–60% of body mass. For Amara at 79.8 kg, that is roughly 40 litres — about 25 L inside her cells and 15 L outside them, of which about 3 L is the plasma her troponin is dissolved in. Every number on her lab report is a concentration in water.
Water's remarkable properties all descend from one structural fact. The oxygen atom pulls the shared electrons of both O–H bonds strongly toward itself (ΔEN 1.24), and the molecule is bent at 104.5° rather than linear. A bent molecule with two polar bonds cannot cancel its dipoles. Water is therefore a permanent dipole: δ− at the oxygen, δ+ at each hydrogen. Everything below follows.
WATER: ONE SHAPE, FOUR CONSEQUENCES
══════════════════════════════════════════════════════════════════════
THE MOLECULE HYDROGEN BONDING
each H2O can make FOUR H-bonds:
δ- 2 through its own H's (donor)
O 2 through its O lone pairs
/ \ 104.5 degrees (acceptor)
δ+ H H δ+ H
|
bent + polar = permanent H--O······H--O
DIPOLE. Not cancelled. | |
THIS IS THE WHOLE STORY. H · H
·
H--O······H--O
| |
H H
~3.4 partners at any instant,
each lasting ~1 picosecond
══ CONSEQUENCE 1 · UNIVERSAL SOLVENT ════════════════════════════════
NaCl crystal water pulls it apart HYDRATION
┌─────────┐ δ-O SHELLS
│Na+Cl-Na+│ H H ┌────────────┐
│Cl-Na+Cl-│ → \ / │ H2O H2O │
│Na+Cl-Na+│ ●───● │ H2O Na+ H2O│ Na+ never
└─────────┘ (Na+ pulled │ H2O H2O │ meets Cl-
lattice held by out by the └────────────┘ again
ionic attraction O's δ- pole) O poles face IN toward Na+
H poles face IN toward Cl-
PHYSIOLOGY: plasma carries 138 mEq/L Na+, glucose, amino acids,
urea, hormones, drugs, and wastes — all in solution. Anything
NOT water-soluble (cholesterol, O2, steroid hormones, fats)
requires a CARRIER. Lipoproteins exist because of this line.
══ CONSEQUENCE 2 · HIGH HEAT CAPACITY (4.184 J/g/degC) ══════════════
Heat must first break H-bonds before it can speed molecules up,
so temperature rises slowly. 40 L of water = a 40 kg thermal
flywheel inside the body.
Hard exercise makes ~15 kcal/min of heat.
Body heat capacity ~0.83 kcal/kg/degC x 80 kg = 66 kcal/degC
→ without ANY heat loss: 1 degC every 4.4 min → 41 degC in 25 min
PHYSIOLOGY: core temperature holds within 1-2 degC for hours.
══ CONSEQUENCE 3 · HIGH HEAT OF VAPORIZATION (~580 kcal/L) ══════════
To evaporate, a water molecule must break ALL its H-bonds at once.
Evaporating 1 L of sweat removes ~580 kcal from the skin.
PHYSIOLOGY: above ~35 degC ambient, evaporation is the ONLY route
of heat loss — radiation and convection ADD heat. Sweat that
DRIPS removes almost nothing; only sweat that EVAPORATES cools.
══ CONSEQUENCE 4 · COHESION + SURFACE TENSION (72 mN/m) ═════════════
H-bonds pull surface molecules inward and sideways.
┌───────── parietal pleura ─────────┐ Two wet surfaces SLIDE
═══════ 10 um of serous fluid ══════ freely but will not
└───────── visceral pleura ─────────┘ PULL APART. The lung
follows the chest wall
PHYSIOLOGY: serous membranes, the tear film, mucus.
AND THE PROBLEM: surface tension in 480 million alveoli would
collapse every one of them. SURFACTANT is the countermeasure.
Figure 2.3 — Water's polarity, hydrogen bonding, and the four properties that follow.
Described: A water molecule is drawn bent at an angle of 104.5 degrees, with a partial negative charge on the oxygen and partial positive charges on both hydrogens; because the molecule is bent, the two polar bonds do not cancel and water is a permanent dipole. A lattice diagram shows each water molecule making up to four hydrogen bonds — two by donating its own hydrogens and two by accepting at the oxygen's lone pairs — with roughly three and a half partners at any instant, each lasting about one picosecond. Four consequences follow. First, water is a universal solvent: a sodium chloride crystal held together by ionic attraction is pulled apart as water's negative oxygen poles surround each sodium ion and its positive hydrogen poles surround each chloride, forming hydration shells that keep the ions permanently separated. Physiologically this means plasma can carry sodium, glucose, amino acids, urea, hormones, drugs, and wastes in solution, while anything not water-soluble — cholesterol, oxygen, steroid hormones, fats — requires a carrier, which is why lipoproteins exist. Second, water has a high specific heat capacity of 4.184 joules per gram per degree Celsius, because heat must break hydrogen bonds before it can raise molecular speed; the body's forty litres act as a forty-kilogram thermal flywheel. Hard exercise generates about fifteen kilocalories per minute against a whole-body heat capacity of about sixty-six kilocalories per degree, so with no heat loss at all core temperature would rise one degree every four and a half minutes and reach forty-one degrees in twenty-five minutes; in practice it holds within one to two degrees for hours. Third, water has a high heat of vaporization of about 580 kilocalories per litre because an escaping molecule must break all its hydrogen bonds at once; evaporating one litre of sweat removes about 580 kilocalories from the skin, and above an ambient temperature of about thirty-five degrees evaporation is the only route of heat loss, since radiation and convection then add heat. Sweat that drips removes almost nothing; only sweat that evaporates cools. Fourth, cohesion and surface tension of 72 millinewtons per metre arise as hydrogen bonds pull surface molecules inward; a diagram of the parietal pleura, a ten-micrometre film of serous fluid, and the visceral pleura shows how two wet surfaces slide freely but will not pull apart, so the lung follows the chest wall. The same property creates a problem in the 480 million alveoli, whose surface tension would collapse them, and surfactant is the countermeasure.
Property 1 · Polarity makes water the universal solvent
A solution is a homogeneous mixture of a solvent (the dissolving medium, water in every biological case) and one or more solutes. Because water is a dipole, it surrounds and stabilizes any solute that carries charge or partial charge: ions, sugars, amino acids, and the polar surfaces of proteins. Each dissolved particle acquires a hydration shell of oriented water molecules that screens its charge and prevents it re-associating.
The physiological payoff is that plasma can be a single fluid carrying everything at once. The physiological cost is that anything nonpolar cannot dissolve in it. Cholesterol, triglyceride, steroid hormones, fat-soluble vitamins, and oxygen itself are all poorly soluble in water, and every one requires a workaround — a carrier protein, a lipoprotein particle, or hemoglobin. The existence of Amara's lipid panel is a direct consequence of this paragraph.
Concentration can be expressed several ways, and it matters which:
| Unit | Meaning | Where used |
|---|---|---|
| Percent (w/v) | grams per 100 mL | IV fluids: "0.9% NaCl" = 9 g/L |
| Molarity (M) | moles of solute per litre of solution | Bench chemistry |
| Millimoles per litre (mmol/L) | The SI clinical standard | Most of the world's lab reports |
| Milliequivalents per litre (mEq/L) | Millimoles × charge | Electrolytes, especially in the US |
| Osmolarity / osmolality | Osmoles of particles per litre / per kg water | Fluid balance, IV therapy |
Osmolality deserves a moment, because it counts particles rather than molecules. One mole of glucose dissolves into one mole of particles; one mole of NaCl dissolves into two. Normal plasma osmolality is 275–295 mOsm/kg and can be estimated:
Osmolality ≈ 2 × [Na⁺] + glucose/18 + BUN/2.8 = 2(138) + 212/18 + 18/2.8 = 276 + 11.8 + 6.4 = 294 mOsm/kg
Amara's calculated osmolality sits at the very top of the normal range, and the reason is visible in the arithmetic: her glucose is contributing 11.8 mOsm/kg where a normal fasting value would contribute 5. Chapter 3 shows what an osmolality at 294 does to the water distribution between her cells and her plasma.
Property 2 · High heat capacity buffers body temperature
Specific heat capacity is the energy required to raise one gram of a substance by one degree Celsius. Water's is 4.184 J/g·°C (1 cal/g·°C) — among the highest of all common liquids, and roughly four times that of air and nine times that of iron.
The reason is hydrogen bonding. Adding heat to water first goes into breaking hydrogen bonds rather than into increasing molecular motion, and only motion registers as temperature. Water therefore absorbs a great deal of energy for a small temperature change, and releases a great deal on cooling.
The consequence is that a 40-litre water reservoir sits inside every adult acting as a thermal flywheel. Amara's metabolism is producing heat continuously; every ATP hydrolysis is about 60% efficient at best, and the remainder is heat. Without water's heat capacity, ordinary daily metabolism would cook her.
Property 3 · High heat of vaporization makes sweating work
To leave the liquid, a water molecule must break every hydrogen bond holding it, all at once. That costs an enormous amount of energy — about 2,257 kJ per kilogram at 100 °C, and about 2,430 kJ/kg (580 kcal/L) at skin temperature.
That energy comes out of the skin. Evaporating one litre of sweat removes roughly 580 kcal, enough to cool 40 kg of body water by about 14 °C if nothing replaced it. This is why evaporation is the dominant mechanism of heat loss during exercise and the only effective one once ambient temperature exceeds skin temperature — above about 35 °C, radiation and convection deliver heat to the body rather than removing it.
Two clinical corollaries follow immediately. Sweat that drips off the skin has removed almost nothing: only the fraction that evaporates carries heat away, which is why high humidity is so much more dangerous than high temperature alone. And Amara's diaphoresis in triage is not thermoregulatory sweat at all — her core temperature is 36.8 °C. It is sympathetic sweating, which is why her skin is cool and wet rather than hot and wet (Chapter 1, §1.3).
Exercise & Sport · Nia's Marathon, Computed in Water
Amara's daughter Nia runs marathons. Follow the water.
At a 3:30 marathon pace, Nia sustains an energy expenditure of roughly 13–15 kcal/min. About 75–80% of that appears as heat rather than mechanical work — call it 11 kcal/min, 660 kcal/h.
Her body's heat capacity is about 0.83 kcal/kg·°C. At 58 kg, that is 48 kcal per degree. If she lost no heat at all, her core temperature would rise 11 ÷ 48 = 0.23 °C per minute, reaching 41 °C — the temperature at which proteins begin to denature (§2.9) — in under 20 minutes.
She runs for three and a half hours instead, and finishes with a core temperature of about 39 °C. The difference is evaporation. At 580 kcal per litre evaporated, dissipating 660 kcal/h requires evaporating a little over 1.1 L of sweat per hour, and in warm conditions her sweat rate will exceed 1.5 L/h because not all sweat evaporates.
Now the failure modes, all of which are water chemistry:
- Dehydration. Losing 4 L over the race against an intake of 2 L leaves a 2 L deficit — 3.4% of body mass. Plasma volume falls, so stroke volume falls, so heart rate rises to compensate (cardiac drift), and skin blood flow is progressively sacrificed to preserve muscle perfusion. Core temperature then rises because the cooling system has been throttled.
- Humidity. At 90% relative humidity the vapour pressure gradient from skin to air nearly vanishes. Sweat pours off her without evaporating and removes essentially no heat. The same effort, the same sweat rate, and no cooling — which is why humid races produce heat illness at temperatures that would be unremarkable in dry air.
- Exercise-associated hyponatremia. The opposite error. A slower runner who drinks 5 L of plain water while losing sodium in sweat can dilute plasma sodium from 140 to below 130 mEq/L. Water follows the osmotic gradient into cells — including brain cells inside a rigid skull. This is one of the few situations in which drinking more is the wrong advice, and it is entirely explained by the osmolality equation two pages above.
Property 4 · Cohesion, surface tension, and the films that hold you together
Hydrogen bonds make water molecules cling to one another (cohesion) and to polar surfaces (adhesion). At an air–water interface, molecules are pulled inward and sideways but not outward, producing surface tension — 72 mN/m for pure water at 25 °C, among the highest of any liquid.
Three physiological consequences, running from useful to dangerous:
- Serous membranes work because of cohesion. Chapter 1 described the pleura as two layers with 5–15 mL of fluid between them. That thin film lets the layers slide with almost no friction while making them nearly impossible to pull apart — the same reason two wet glass slides slide freely but resist separation. This is what couples the lung mechanically to the chest wall so that expanding the thorax expands the lung.
- Lubricating and protective films. The tear film over the cornea, the mucus blanket of the airway, and synovial fluid in a joint all depend on water's ability to form a continuous coherent layer.
- Alveolar collapse — the problem surfactant solves. In the lung, surface tension acts to shrink each of the 480 million alveoli, and by Laplace's law the collapsing pressure is inversely proportional to radius, so small alveoli collapse into larger ones. Untreated, this would make breathing impossible. Pulmonary surfactant — a phospholipid-rich secretion, §2.8 — inserts between water molecules at the air–liquid interface and interrupts their hydrogen bonding, dropping surface tension by roughly tenfold. Chapter 22 develops this fully; the point here is that a phenomenon caused by hydrogen bonds is neutralized by a molecule designed to prevent them.
Water as a reactant, and as padding
Two smaller roles, both important. Water is a reactant in every hydrolysis reaction in the body — digestion is literally the addition of water across bonds (§2.6) — and it is a product of every dehydration synthesis. And water cushions: cerebrospinal fluid floats the 1.4 kg brain to an effective weight of about 50 g, amniotic fluid protects a fetus, and synovial fluid absorbs joint loads.
Check Your Understanding 2.4
- Two runners finish the same race. One has lost 3 kg of body mass; the other has gained 0.5 kg. Predict each one's plasma sodium direction and explain the mechanism.
- Why is a person in a 40 °C sauna at 10% humidity comfortable, while 40 °C at 95% humidity is dangerous within minutes? Use two of water's properties.
- Amara's calculated plasma osmolality is 294 mOsm/kg with a glucose of 212 mg/dL. What would it be if her glucose were a normal 90 mg/dL, everything else unchanged?
Show answers
- The runner who lost 3 kg lost predominantly water as sweat. Sweat is hypotonic to plasma — it contains sodium, but at only 20–60 mEq/L against plasma's 140 — so proportionally more water than sodium leaves. Plasma sodium therefore tends to rise (hypernatremia) unless replaced. The runner who gained 0.5 kg drank more than she lost, almost certainly plain water, diluting the sodium that remains: plasma sodium falls, and this is exercise-associated hyponatremia. Weight change during endurance exercise is, to a good approximation, a direct readout of water balance.
- Above skin temperature, radiation and convection add heat rather than removing it, so evaporation of sweat is the only cooling route available — that is water's high heat of vaporization doing all the work. Evaporation requires a vapour pressure gradient from the wet skin to the air. At 10% humidity that gradient is steep and sweat evaporates freely, removing ~580 kcal per litre. At 95% humidity the air is nearly saturated, the gradient collapses, and sweat drips off without evaporating — removing essentially no heat at all. Same temperature, same sweating, and in one case a functioning cooling system and in the other none.
- Replace the glucose term: 2(138) + 90/18 + 18/2.8 = 276 + 5.0 + 6.4 = 287 mOsm/kg. Her hyperglycemia is adding about 7 mOsm/kg, moving her from the middle of the normal range to its upper edge. Every 100 mg/dL of glucose above normal adds roughly 5.5 mOsm/kg — which is why the severe hyperglycemia of a hyperosmolar crisis (glucose 800–1,200 mg/dL) is life-threatening on osmotic grounds alone.
2.5 Acids, Bases, pH, and Buffers
This section is the foundation of Chapter 31, and it is the most consequential chemistry in the book. Read it slowly.
Acids and bases
An acid is a proton (H⁺) donor. A base is a proton acceptor. Because a hydrogen atom consists of one proton and one electron, a hydrogen ion stripped of its electron is a bare proton — the smallest, most reactive chemical entity in biology.
Strong acids dissociate essentially completely: hydrochloric acid in gastric juice releases virtually every proton it has. Weak acids dissociate only partly and reversibly:
H₂CO₃ ⇌ H⁺ + HCO₃⁻
That double arrow is the whole of buffering. A weak acid holds a reservoir of protons it can release or reabsorb depending on which way the surrounding chemistry pushes it. Strong acids cannot buffer, because they have nothing left to give back.
pH
Hydrogen ion concentration in body fluids is inconveniently small, so it is expressed logarithmically:
pH = −log₁₀[H⁺], with [H⁺] in moles per litre
Consequences of the log scale, all of which students get wrong at least once:
- pH falls as acidity rises. The sign is negative.
- Each whole pH unit is a tenfold change. pH 6 is ten times more acidic than pH 7 and one hundred times more acidic than pH 8.
- pH 7.0 is neutral at 25 °C. At 37 °C, neutrality is about 6.8, so blood at 7.40 is slightly more alkaline relative to true neutrality than the numbers suggest.
Now do the arithmetic on Amara's blood. At pH 7.40, [H⁺] = 10⁻⁷·⁴⁰ = 4.0 × 10⁻⁸ M = 40 nanomoles per litre. Her measured pH of 7.38 corresponds to about 42 nmol/L.
Set that beside her sodium: 138 millimoles per litre. Sodium is present at roughly 3.3 million times the concentration of hydrogen ion. And yet sodium is permitted to range over 135–145 — a 7% band — while hydrogen ion is defended between about 35 and 45 nmol/L, and a doubling of it to 80 nmol/L (pH 7.10) is a medical emergency.
That asymmetry is the point of this section. The body regulates its least abundant ion most tightly, and it does so because H⁺ is the ion that binds to and alters every protein it touches.
THE pH SCALE, WITH REAL BODY FLUIDS PLACED ON IT
══════════════════════════════════════════════════════════════════════
pH 0 1 2 3 4 5 6 7 8 9 10 11 12 13
│ │ │ │ │ │ │ │ │ │ │ │ │ │
[H+] 1 .1 .01 1e-3 1e-4 1e-5 1e-6 1e-7 1e-8 1e-9 ... (mol/L)
◄────────── MORE ACIDIC ─────┼───── MORE ALKALINE ──────────►
NEUTRAL
(7.0 at 25 degC; ~6.8 at 37 degC)
▼1.5-3.5 ▼7.35-7.45
GASTRIC JUICE ARTERIAL BLOOD
(parietal cells; THE DEFENDED VARIABLE
pumps H+ against a
3-million-fold gradient) ▼7.31 CEREBROSPINAL FLUID
▼7.35 VENOUS BLOOD (more CO2)
▼3.8-4.5 VAGINAL ▼7.0-7.2 CYTOSOL (inside cells)
▼4.5-8.0 URINE ──────────────────────► the widest range in the
│ (the kidney's disposal route body: it is the DUMP
│ for fixed acid) for whatever plasma
▼4.7-5.8 SKIN SURFACE must not keep
│ ("acid mantle": inhibits
│ bacterial colonization) ▼7.6-8.6 BILE
▼6.35-6.85 SALIVA ▼8.0 PANCREATIC
JUICE
(neutralizes gastric
acid entering the
duodenum)
══ THE SURVIVAL BAND ═════════════════════════════════════════════════
6.8 ──── 7.35 ══════ 7.40 ══════ 7.45 ──── 7.8
│ │ │ │ │
death ACIDEMIA SET POINT ALKALEMIA death
begins begins
Total survivable range: about ONE pH UNIT out of fourteen.
Normal operating band: 0.10 pH units = 35 to 45 nmol/L of H+.
For comparison: [Na+] = 138,000,000 nmol/L, allowed a 7% swing.
[H+] = 42 nmol/L, allowed a 12% swing
before it is named
a disorder.
Figure 2.4 — The pH scale with the principal body fluids marked, and the narrow band in which arterial pH is defended.
Described: A pH scale runs from zero to thirteen, with hydrogen ion concentration falling tenfold per unit from one mole per litre at pH zero. Lower numbers are more acidic, higher numbers more alkaline, and neutrality is 7.0 at twenty-five degrees Celsius but about 6.8 at body temperature. Body fluids are placed along the scale. Gastric juice sits at pH 1.5 to 3.5, produced by parietal cells that pump hydrogen ions against a three-million-fold gradient. Vaginal fluid is 3.8 to 4.5. Urine spans the widest range of any body fluid, 4.5 to 8.0, because it is the kidney's disposal route for fixed acid. Skin surface is 4.7 to 5.8, the acid mantle that inhibits bacterial colonization. Saliva is 6.35 to 6.85. Cytosol inside cells is 7.0 to 7.2. Cerebrospinal fluid is 7.31 and venous blood 7.35, both slightly more acidic than arterial blood because they carry more carbon dioxide. Arterial blood is 7.35 to 7.45 and is the defended variable. Bile is 7.6 to 8.6 and pancreatic juice about 8.0, which neutralizes gastric acid entering the duodenum. A survival band is drawn: death below about 6.8, acidemia below 7.35, the set point at 7.40, alkalemia above 7.45, and death above about 7.8 — a total survivable range of roughly one pH unit out of fourteen, with a normal operating band of only 0.10 pH units, equivalent to 35 to 45 nanomoles of hydrogen ion per litre. For comparison, sodium is present at 138 million nanomoles per litre and is allowed a seven percent swing, while hydrogen ion at 42 nanomoles per litre is called disordered after a twelve percent swing.
The acid load the body must handle every day
Two streams of acid are generated continuously.
- Volatile acid. Every cell producing ATP aerobically makes CO₂ — about 15,000 mmol per day in a resting adult, and several times that during exercise. CO₂ is not itself an acid, but in water it becomes one, which is why the lab prints "carbon dioxide" on a metabolic panel and means bicarbonate. The lungs excrete this stream.
- Fixed (non-volatile) acid. Metabolism of sulfur-containing amino acids yields sulfuric acid; phospholipid metabolism yields phosphoric acid; incomplete oxidation of fats and carbohydrates yields organic acids. Total: 50–100 mEq per day. The kidneys excrete this stream.
Fifteen thousand millimoles of potential acid per day into a plasma pool holding 42 nanomoles of free H⁺ per litre. If the buffering systems paused for even a few minutes, blood pH would fall past the survivable limit. They do not pause.
Buffers
A buffer is a solution that resists change in pH when acid or base is added. Every buffer is a conjugate pair: a weak acid (which can donate H⁺ if the solution becomes too alkaline) and its conjugate base (which can absorb H⁺ if it becomes too acidic).
Three buffer systems operate in the body.
| System | Pair | Where | Share of buffering |
|---|---|---|---|
| Bicarbonate | H₂CO₃ / HCO₃⁻ | Extracellular fluid, plasma | ~53% of whole-body; the dominant ECF buffer |
| Phosphate | H₂PO₄⁻ / HPO₄²⁻ | Intracellular fluid; renal tubular fluid | Minor in plasma; major inside cells and in urine |
| Protein | –COOH/–COO⁻ and –NH₃⁺/–NH₂ side chains | Intracellular (especially hemoglobin) | The largest total capacity; ~75% of all chemical buffering is intracellular protein |
Hemoglobin deserves special mention because it is the ideal buffer for the job: it sits in red cells travelling exactly where CO₂ is produced and unloaded, and deoxygenated hemoglobin binds H⁺ better than oxygenated hemoglobin does — so hemoglobin's buffering capacity increases at exactly the moment tissue is offloading oxygen and producing CO₂. Chapter 22 develops this as the Haldane effect.
The bicarbonate buffer system, built one step at a time
Step 1 — CO₂ meets water. Carbon dioxide dissolves in water and a small fraction hydrates to carbonic acid. Uncatalyzed this reaction is slow, taking many seconds — far too slow for physiology.
CO₂ + H₂O ⇌ H₂CO₃
Step 2 — the catalyst. The enzyme carbonic anhydrase, present in red blood cells, renal tubular cells, gastric parietal cells, and elsewhere, accelerates that hydration by a factor of about 10⁴ to 10⁶. It is one of the fastest enzymes known, turning over up to a million molecules per second per enzyme molecule. It contains a single zinc atom at its active site — one of the trace elements from §2.1.
Step 3 — dissociation. Carbonic acid is a weak acid and dissociates readily:
H₂CO₃ ⇌ H⁺ + HCO₃⁻
Step 4 — put it together.
CO₂ + H₂O ⇌ H₂CO₃ ⇌ H⁺ + HCO₃⁻
Now apply Le Châtelier's principle: a system at equilibrium responds to a disturbance by shifting in the direction that opposes it. Run the equation in both directions.
- Acid is added (say, lactic acid from sprinting). The added H⁺ pushes the equation leftward: H⁺ combines with HCO₃⁻ to form H₂CO₃, which becomes CO₂ and water. The free H⁺ is consumed, pH barely moves, bicarbonate is spent, and the CO₂ generated is blown off by the lungs.
- Base is added, or acid is lost (vomiting gastric HCl). Free H⁺ falls, so the equation shifts rightward: more H₂CO₃ dissociates to replace the missing protons.
Step 5 — why this buffer beats every other one. On paper, bicarbonate is a mediocre buffer for blood: its pKa is 6.1, and a buffer works best within about one pH unit of its pKa. At pH 7.40 it is 1.3 units away, which should make it feeble.
It is nonetheless the body's dominant extracellular buffer, for a reason that has nothing to do with chemistry and everything to do with anatomy: it is an open system with two independently regulated ends.
- The CO₂ end is controlled by the lungs, which can change alveolar ventilation within seconds and alter PCO₂ over a range of at least 20–80 mm Hg.
- The HCO₃⁻ end is controlled by the kidneys, which reabsorb, regenerate, or excrete bicarbonate over hours to days.
A closed-system buffer is consumed as it works. This one is continuously replenished at one end and vented at the other. That is why it dominates, and it is the single most important idea in acid–base physiology.
THE BICARBONATE BUFFER SYSTEM — TWO ORGANS, ONE EQUATION
══════════════════════════════════════════════════════════════════════
LUNGS KIDNEYS
(seconds-minutes) (hours-days)
control the LEFT end control the RIGHT end
│ │
▼ ▼
┌───────────────┐ ┌────────────────┐
│ EXHALE CO2 │ │ reabsorb HCO3- │
│ ~15,000 │ │ regenerate new │
│ mmol/day │ │ HCO3- │
│ │ │ excrete H+ as │
│ raise or │ │ NH4+ and │
│ lower rate │ │ titratable acid│
│ and depth │ │ 50-100 mEq/day │
└───────┬───────┘ └────────┬───────┘
│ │
▼ ▼
═══════════════════════════════════════════════════════════════════
carbonic
CO2 + H2O ══════════► H2CO3 ◄══════► H+ + HCO3-
▲ anhydrase ▲ ▲ ▲
│ (Zn at the │ │ │
VOLATILE active site; │ THE VARIABLE │
ACID 10^6/sec) │ BEING │
15,000 mmol/d │ DEFENDED │
│ 42 nmol/L │
═══════════════════════════════════════════════════════════════════
══ RUN IT LEFTWARD: acid is added (sprinting, ketoacidosis) ═════════
H+ ↑ → H+ + HCO3- → H2CO3 → CO2 + H2O → EXHALED
│
└──► HCO3- is CONSUMED → serum HCO3- FALLS
pH barely moves → this is COMPENSATION
and breathing rises → PCO2 FALLS
══ RUN IT RIGHTWARD: acid is lost (vomiting) or base added ══════════
H+ ↓ → H2CO3 dissociates to replace it → HCO3- accumulates
→ serum HCO3- RISES
→ breathing SLOWS to
retain CO2
══ HENDERSON-HASSELBALCH — THE WHOLE SYSTEM IN ONE LINE ═════════════
pH = 6.1 + log ( [HCO3-] / (0.03 x PCO2) )
▲ ▲
KIDNEY sets this LUNG sets this
NORMAL: 6.1 + log(24 / (0.03 x 40)) = 6.1 + log(24/1.20)
= 6.1 + log 20 = 6.1 + 1.30 = 7.40
▲
THE 20:1 RATIO. pH depends on the RATIO, not on either
number alone — which is why compensation works at all.
AMARA: 6.1 + log(24 / (0.03 x 42)) = 6.1 + log(24/1.26)
= 6.1 + log 19.0 = 6.1 + 1.28 = 7.38 ✓ matches her ABG
Figure 2.5 — The bicarbonate buffer system as a two-organ flow diagram, run in both directions.
Described: A flow diagram places the central equilibrium — carbon dioxide plus water, converted by carbonic anhydrase to carbonic acid, which dissociates reversibly to hydrogen ion plus bicarbonate — between two controlling organs. The lungs control the left end on a timescale of seconds to minutes by exhaling about fifteen thousand millimoles of carbon dioxide per day and by raising or lowering the rate and depth of breathing. The kidneys control the right end on a timescale of hours to days by reabsorbing bicarbonate, regenerating new bicarbonate, and excreting fifty to one hundred milliequivalents of hydrogen ion per day as ammonium and titratable acid. Carbonic anhydrase carries a zinc atom at its active site and turns over up to a million molecules per second. Hydrogen ion, at forty-two nanomoles per litre, is the variable being defended. Run leftward, when acid is added by sprinting or ketoacidosis, the added hydrogen ion combines with bicarbonate to form carbonic acid, which becomes carbon dioxide and water and is exhaled; bicarbonate is consumed so serum bicarbonate falls, pH barely moves, and breathing rises so that the partial pressure of carbon dioxide falls — this is respiratory compensation. Run rightward, when acid is lost by vomiting or base is added, carbonic acid dissociates to replace the missing hydrogen ion, bicarbonate accumulates and rises, and breathing slows to retain carbon dioxide. The Henderson–Hasselbalch equation summarizes the system: pH equals 6.1 plus the logarithm of bicarbonate divided by the product of 0.03 and the partial pressure of carbon dioxide, with the kidney setting the numerator and the lung the denominator. Normally, 6.1 plus the log of twenty-four over 1.20 equals 6.1 plus the log of twenty, which is 6.1 plus 1.30, or 7.40 — the famous twenty-to-one ratio, and the reason pH depends on the ratio rather than either value alone, which is why compensation is possible. For Amara, with bicarbonate twenty-four and a carbon dioxide partial pressure of forty-two, the calculation gives 6.1 plus the log of 19.0, which is 7.38 and matches her measured arterial blood gas.
Thread 2 · Homeostasis Is the Master Concept — pH as the Model Case
Fit acid–base regulation into Chapter 1's four boxes and the whole of Chapter 31 becomes predictable in advance.
- Regulated variable: arterial [H⁺], 35–45 nmol/L (pH 7.45–7.35).
- Receptors: central chemoreceptors in the medulla, which respond to the pH of cerebrospinal fluid, and peripheral chemoreceptors in the carotid and aortic bodies.
- Control centres: the respiratory centres of the medulla for the fast loop; the renal tubular cells for the slow loop.
- Effectors: the diaphragm and intercostal muscles, altering ventilation within seconds; and the kidney's proton pumps and bicarbonate transporters, altering excretion over hours to days.
Two loops, two speeds, one variable. The fast loop buys time; the slow loop fixes the problem. This is a design pattern you will meet again for blood pressure, blood glucose, calcium, and temperature — a rapid neural response that is imprecise but immediate, backed by a slow hormonal or renal response that is precise but delayed.
And note the diagnostic power. Because the lung sets PCO₂ and the kidney sets HCO₃⁻, an arterial blood gas that reports pH, PCO₂, and HCO₃⁻ tells you which organ is failing and which is compensating. Amara's gas — pH 7.38, PCO₂ 42, HCO₃⁻ 24 — says both are working.
Clinical Connection · Diabetic Ketoacidosis, and What Amara Does Not Have
Amara's glucose is 212 mg/dL, her HbA1c is 7.4%, and she is not in ketoacidosis. Understanding why is more instructive than the diagnosis itself.
The mechanism of DKA. With absolute insulin deficiency, adipose tissue lipolysis runs unopposed. Fatty acids flood the liver, which oxidizes them to acetyl-CoA faster than the citric acid cycle can consume it, and diverts the excess into ketoacids — acetoacetate and β-hydroxybutyrate. These are strong acids at body pH. Each one that dissociates dumps an H⁺ into the extracellular fluid, and each H⁺ consumes a bicarbonate.
What the numbers do, in order:
| Measurement | DKA | Amara | Why |
|---|---|---|---|
| Glucose | 400–800 mg/dL | 212 | Insulin absent vs. insulin present but resisted |
| Arterial pH | 6.9–7.25 | 7.38 | Ketoacid load vs. no significant ketoacid load |
| HCO₃⁻ | 5–15 mEq/L | 24 | Consumed buffering ketoacids vs. intact |
| Anion gap | 20–35 | 12 | Ketoacid anions unmeasured vs. none present |
| PCO₂ | 15–25 mm Hg | 42 | Kussmaul breathing compensating vs. no compensation needed |
| Ketones | Large | Not detected | Lipolysis unrestrained vs. suppressed |
Read the anion gap. In DKA, bicarbonate falls but chloride does not rise to replace it, because the missing anionic charge is being carried by the ketoacid anions the panel cannot see. The gap widens. Amara's gap of 12 with a bicarbonate of 24 is therefore positive evidence of an absence: there is no unmeasured acid anion in her plasma.
Why this matters for her diagnosis. Ketoacidosis requires near-total absence of insulin. Amara's pancreas is still producing insulin — a great deal of it, in fact; her tissues have simply stopped responding (Chapter 16). Even modest circulating insulin suppresses adipose lipolysis enough to prevent ketogenesis. So her hyperglycemia with a normal pH and a normal anion gap is a chemical fingerprint of insulin resistance rather than insulin deficiency — type 2 rather than type 1. Four numbers, read together, distinguish two diseases.
Note also the Kussmaul breathing of DKA: deep, sighing respirations at 30–40 per minute, driving PCO₂ down to 15–20 mm Hg. Look back at the Henderson–Hasselbalch equation. With HCO₃⁻ at 8 and PCO₂ at 40, pH would be 6.1 + log(8/1.2) = 6.92 — likely fatal. Drive PCO₂ to 18 and pH becomes 6.1 + log(8/0.54) = 7.27. The patient is buying pH by hyperventilating, and the depth of the breathing is a direct measure of how bad the metabolic acidosis is.
Exercise & Sport · Buffering a 400-Metre Sprint
The 400 m is physiology's cruelest event: long enough that anaerobic glycolysis must supply most of the ATP, short enough that there is no time to slow down.
What happens chemically. Glycolysis running at maximal rate produces ATP far faster than mitochondria can, and the accompanying net ATP hydrolysis releases protons into the cytosol faster than they can be exported or oxidized. Muscle lactate rises from ~1 to 25–30 mmol/kg; arterial lactate rises from 1 mmol/L to 15–25 mmol/L; and intramuscular pH falls from about 7.0 to 6.4–6.5 — among the largest pH excursions any tissue in the body tolerates.
What buffering does about it. Three lines of defence, in order of speed:
- Intracellular buffers, acting instantly: carnosine (a dipeptide present in fast-twitch fibres at 20–40 mmol/kg, whose imidazole group has a pKa near 6.8 — almost perfectly matched to exercising muscle pH), inorganic phosphate, and protein histidine residues.
- Bicarbonate, as protons leave the muscle and enter the blood. Arterial HCO₃⁻ falls from 24 to 12–14 mEq/L during maximal exercise. Each proton buffered generates a molecule of CO₂.
- Ventilation. That extra, non-metabolic CO₂ must be exhaled. Ventilation rises out of proportion to oxygen consumption — the ventilatory threshold — which is why breathing becomes frantic before oxygen is genuinely limiting. Arterial pH still falls to 7.10–7.20 in a maximal 400 m, and recovery takes 20–60 minutes.
Why athletes load sodium bicarbonate. Ingesting 0.2–0.3 g/kg of NaHCO₃ about 90 minutes before competition raises plasma bicarbonate by 5–6 mEq/L, steepening the gradient for proton efflux out of muscle and delaying the intracellular pH fall. Measured effects on 400–800 m performance are real but small (roughly 1–2%), and the gastrointestinal cost is substantial — the same bicarbonate that buffers plasma also reacts with gastric acid to make CO₂ gas, in the stomach, at speed.
Why this matters for Amara. The chemistry is identical to what is happening in her myocardium right now, but the setting inverts the meaning. A sprinter's muscle is acidifying because it is working maximally with a deliberately limited oxygen supply, and will recover in an hour. Amara's cardiac muscle is acidifying because its oxygen supply has been cut while it is obliged to keep working, and it will not recover. Falling intracellular pH inhibits the very glycolytic enzymes that are generating what little ATP remains — a self-limiting loop that begins the cascade toward the cell death Chapter 3 describes.
Check Your Understanding 2.5
- A patient's arterial pH is 7.10. How many times more hydrogen ion is in her plasma than in Amara's at 7.38?
- A patient hyperventilates from anxiety, driving PCO₂ from 40 to 24 mm Hg. Using Henderson–Hasselbalch with HCO₃⁻ still 24, calculate the new pH and name the disorder.
- Why does vomiting cause an alkalosis, and why does the kidney take days to correct it while the lung responds in seconds?
Show answers
- At pH 7.10, [H⁺] = 10⁻⁷·¹⁰ ≈ 79 nmol/L. At 7.38, [H⁺] ≈ 42 nmol/L. The ratio is 79/42 ≈ 1.9 times, essentially double. Note how the log scale disguises the magnitude: a difference of 0.28 pH units — which looks small written down — is a near-doubling of the defended ion, and it is the difference between a normal gas and a serious acidemia.
- pH = 6.1 + log(24 / (0.03 × 24)) = 6.1 + log(24/0.72) = 6.1 + log 33.3 = 6.1 + 1.52 = 7.62. This is an acute respiratory alkalosis. The mechanism is visible in the equation: the kidney has not had time to change the numerator, so blowing off CO₂ shrinks the denominator and the ratio rises above 20:1. The symptoms — perioral and finger tingling, carpopedal spasm — occur because alkalosis increases the binding of calcium to plasma albumin, lowering ionized calcium and raising nerve excitability. Breathing into a bag works by re-inhaling CO₂ and restoring the denominator.
- Gastric juice is 1.5–3.5, so vomiting removes hydrochloric acid from the body. Removing acid is chemically identical to adding base: the bicarbonate equation shifts rightward, free H⁺ is replaced from carbonic acid, and bicarbonate accumulates — a metabolic alkalosis with a raised serum HCO₃⁻. The lung can respond within a breath by hypoventilating to retain CO₂ and restore the ratio, but it can only go so far, since hypoventilating enough to fully correct pH would cause hypoxemia. Real correction requires the kidney to stop reabsorbing bicarbonate and start excreting it, and renal tubular transport changes require the synthesis and insertion of transport proteins — a process of hours to days, not seconds. Fast and partial, then slow and complete: the same two-speed pattern as every other homeostatic system in this book.
2.6 Chemical Reactions, Energy, ATP, and Enzymes
Reaction types
| Type | Pattern | Body example |
|---|---|---|
| Synthesis (anabolic) | A + B → AB | Amino acids → protein; glucose → glycogen |
| Decomposition (catabolic) | AB → A + B | Glycogen → glucose; triglyceride → glycerol + fatty acids |
| Exchange | AB + C → AC + B | ATP + glucose → ADP + glucose-6-phosphate |
| Oxidation–reduction (redox) | Electrons transferred | Every step of ATP production |
Two reaction patterns dominate this chapter's second half, and they are inverses of each other. Dehydration synthesis joins two monomers by removing an –OH from one and an –H from the other, releasing water and forming a covalent bond. Hydrolysis does the reverse: it inserts a water molecule across a bond and splits it. Every macromolecule in §2.7 to §2.9 is built one way and dismantled the other. Digestion is hydrolysis; growth is dehydration synthesis.
Redox reactions deserve one clarifying line, because their naming is counterintuitive. Oxidation is the loss of electrons; reduction is the gain. In biological molecules electrons travel with hydrogen atoms, so a molecule that loses hydrogens has been oxidized. Fats have more C–H bonds than carbohydrates, which is to say more electrons to give away, which is exactly why they yield more energy per gram (§2.8).
Energy and the two laws
Energy is the capacity to do work. It exists as kinetic energy (motion) and potential energy (stored position or chemical configuration), and it converts among chemical, electrical, mechanical, and radiant forms. Two constraints govern every conversion:
- First law. Energy is neither created nor destroyed. Every calorie Amara consumes is stored, converted to work, or released as heat.
- Second law. Every conversion loses some energy as heat. Muscle is 20–25% efficient at converting chemical energy to mechanical work; the other 75–80% is heat, which is why shivering warms you and why exercise requires the water chemistry of §2.4.
A reaction that releases energy is exergonic and proceeds spontaneously. One that requires energy is endergonic and will not proceed unless coupled to an exergonic one. Cells survive by coupling, and the coupling agent is ATP.
ATP
Adenosine triphosphate is adenine + ribose + three phosphate groups in series. The bonds linking the second and third phosphates are phosphoanhydride bonds, and hydrolysing the terminal one releases about 7.3 kcal/mol (30.5 kJ/mol) under standard conditions and roughly 11–13 kcal/mol under the conditions actually present in a cell.
ATP + H₂O → ADP + Pi + energy
Why so much energy from one bond? Three reasons stack. The three phosphates carry four negative charges packed adjacent to one another and repel electrostatically, so the intact molecule is strained. The released inorganic phosphate is resonance-stabilized in ways the attached form is not. And both products are more favourably hydrated than the reactant. Hydrolysing ATP is therefore less "breaking a high-energy bond" than "releasing a compressed spring."
The turnover numbers are extraordinary. A cell holds only 1–2 seconds' worth of ATP at any moment; total body ATP is about 250 g; and a resting adult synthesizes and consumes roughly 40–75 kg of it per day, recycling each molecule several hundred times. ATP is not a storage molecule. It is a currency in constant circulation, and the entire apparatus of Chapter 24 exists to keep it circulating.
Reaction rates and enzymes
Four variables change reaction rate: temperature (a 10 °C rise roughly doubles or triples rate), concentration of reactants, particle size or surface area, and the presence of a catalyst.
Every reaction must first climb an energy barrier called the activation energy — the energy needed to distort reactant bonds into the transition state — even if the reaction is overwhelmingly favourable overall. At body temperature almost no biological reaction clears that barrier at a useful rate on its own.
An enzyme is a biological catalyst, almost always a protein, that lowers activation energy by binding substrate in a strained, precisely oriented configuration at its active site. Four properties follow, and each is worth committing to memory:
- Enzymes lower activation energy. They do not change ΔG or the equilibrium position. An enzyme makes a reaction reach equilibrium faster, in both directions equally. It cannot make an unfavourable reaction favourable — only coupling to ATP does that.
- Enzymes are specific, because catalysis depends on shape complementarity. Binding induces a conformational change in the enzyme that tightens the fit — induced fit.
- Enzymes are not consumed. Carbonic anhydrase turns over up to 10⁶ substrate molecules per second, indefinitely.
- Enzymes are regulable, by substrate concentration, by pH and temperature, by inhibitors, by covalent modification (phosphorylation), and by allosteric effectors. This is where nearly all metabolic control lives, and where most drugs act.
Many enzymes require a non-protein helper: a cofactor (usually a metal ion — the zinc in carbonic anhydrase, the magnesium required by every kinase) or a coenzyme (an organic molecule, characteristically vitamin-derived: NAD⁺ from niacin, FAD from riboflavin, coenzyme A from pantothenate). This is the chemical reason vitamin deficiencies produce multi-system disease: remove one coenzyme and dozens of unrelated enzymes stop at once.
Because enzymes are proteins, they are exquisitely sensitive to pH and temperature — both of which alter the weak bonds holding their three-dimensional shape (§2.9). Most human enzymes peak near pH 7.2 and 37 °C. Pepsin, working in gastric juice, peaks at pH 2.0 and is irreversibly destroyed at pH 7. An enzyme's optimum is a statement about where in the body it belongs.
2.7 Carbohydrates
Carbohydrates have the general formula (CH₂O)ₙ — literally "hydrated carbon." They are the body's most accessible fuel and, in a form most students never hear about, its primary identification system.
Monosaccharides
The simple sugars. Three hexoses matter: glucose, fructose, and galactose, all with the identical formula C₆H₁₂O₆ and differing only in the spatial arrangement of their atoms. They are isomers, and the differences are not trivial — the body has separate transporters and separate metabolic routes for each. Two pentoses matter: ribose in RNA and ATP, and deoxyribose in DNA.
Glucose is the universal currency of fuel. Plasma glucose is held at 70–99 mg/dL fasting. That corresponds to roughly 4 grams of glucose dissolved in the entire circulating blood volume — about one teaspoon. The brain alone consumes about 120 g/day. The whole of glucose homeostasis is the problem of keeping a teaspoon's worth in circulation while the brain draws that much every 45 minutes.
Amara's glucose of 212 mg/dL means roughly 10 g in her bloodstream — two and a half teaspoons. The absolute quantity is small; the consequences of it being sustained are the subject of most of the rest of her story.
Disaccharides and polysaccharides
Two monosaccharides joined by dehydration synthesis form a glycosidic bond.
| Disaccharide | Components | Source |
|---|---|---|
| Sucrose | glucose + fructose | Table sugar |
| Lactose | glucose + galactose | Milk |
| Maltose | glucose + glucose | Starch digestion intermediate |
Polysaccharides are long chains. Starch is the plant storage form; glycogen is the animal one; cellulose is the plant structural form. Cellulose differs from starch only in the orientation of its glycosidic bond (β-1,4 rather than α-1,4), and humans possess no enzyme that cleaves the β form — which is the entire chemical basis of dietary fibre.
Glycogen is worth a structural note, because it is a clean structure-determines-function case. It is highly branched, with a branch point roughly every 8–12 glucose residues. Branching creates a large number of free ends, and the enzymes that mobilize glycogen work only from the ends. A branched polymer can therefore be dismantled at hundreds of points simultaneously, which is what allows liver glycogen to defend blood glucose within seconds. A linear polymer of the same mass could be attacked at only two points. Amara's liver holds about 100 g of glycogen; her skeletal muscle holds about 400 g, but muscle glycogen is unavailable to the blood because muscle lacks the enzyme that releases free glucose.
Glycoproteins, glycolipids, and the glycocalyx
Most proteins destined for the cell surface or for secretion are glycosylated — sugar chains are attached enzymatically in the endoplasmic reticulum and Golgi apparatus (Chapter 3). Those sugar chains form the glycocalyx, the fuzzy carbohydrate coat on the outer face of every cell membrane, and they are the body's identification system. ABO blood group antigens are sugar chains. Sperm–egg recognition, leukocyte adhesion to inflamed endothelium, viral attachment, and the immune distinction between self and non-self are all read at this layer.
Glycation versus glycosylation — the HbA1c answer
Here is the distinction that answers Amara's second case question, and it hinges on a single word.
| Glycosylation | Glycation | |
|---|---|---|
| Catalyzed by an enzyme? | Yes | No — spontaneous |
| Site | Specific, determined by sequence | Random, wherever a free amino group is exposed |
| Rate depends on | Enzyme activity and regulation | Glucose concentration × time, nothing else |
| Reversible? | Regulated | Initially yes, then irreversibly locked |
| Purpose | Functional — targeting, folding, recognition | None. It is damage |
Glycation is what happens when a sugar's reactive aldehyde group collides with a free amino group on a protein and simply sticks. No enzyme is involved, no regulation is possible, and the rate is a pure function of how much glucose is present and for how long.
Hemoglobin A1c is glycated hemoglobin. Glucose attaches to the N-terminal valine of the hemoglobin β-chain, forming first a reversible Schiff base and then, over hours, undergoing an Amadori rearrangement into a stable ketoamine that cannot come off. Because red blood cells live about 120 days and cannot repair or replace their hemoglobin, the fraction of hemoglobin bearing this adduct is a running integral of blood glucose over the red cell population's lifespan — weighted toward the recent past, with roughly 50% of the value contributed by the last 30 days and 25% by the 30–60 day window.
Amara's HbA1c of 7.4% (57 mmol/mol) converts to an estimated average glucose of
eAG = (28.7 × 7.4) − 46.7 = 166 mg/dL
So her single reading of 212 is not an aberration produced by a stressful morning. Her average glucose over the past three months has been about 166 mg/dL, at a time when 100 would be normal. The test looks backwards in time because the molecule it measures is permanent and its carrier cell is not replaced.
Aging · Advanced Glycation End Products — the Same Reaction, Given Decades
Glycation does not stop at hemoglobin. Any protein with an exposed amino group and a long residence time in the body is a target, and the Amadori product can react further — oxidizing, rearranging, and cross-linking — into a heterogeneous family called advanced glycation end products (AGEs).
The proteins most affected are the ones that turn over most slowly, because glycation is cumulative and repair is impossible:
| Long-lived protein | Half-life | Consequence of glycation |
|---|---|---|
| Collagen (skin, tendon, vessel wall) | ~15 years | Cross-linked, stiffened, less compliant |
| Elastin (arteries, lung) | ~70 years | Loss of recoil; arterial stiffening |
| Lens crystallin | Lifetime — never replaced | Aggregation, opacity: cataract |
| Myelin basic protein | Years | Contributes to diabetic neuropathy |
Two consequences follow, and both matter to this family.
Mechanical. Cross-linked collagen and elastin make arteries stiff. A stiff artery cannot expand to absorb the stroke volume, so systolic pressure rises and diastolic falls — widened pulse pressure, the characteristic blood pressure pattern of both ageing and diabetes. Amara is 45 with a blood pressure of 168/98; her mother Adwoa is 78. They are on the same curve, and Amara's glucose has moved her further along it than her age alone would.
Inflammatory. AGEs bind a cell-surface receptor called RAGE, which activates inflammatory signalling in endothelium and macrophages. This is one of the mechanisms linking hyperglycemia to accelerated atherosclerosis — the process that narrowed the artery causing Amara's chest pain.
Note the symmetry with Adwoa's cataract. Glycation of lens crystallin is a normal ageing process that occurs in everyone; the lens protein laid down in utero is still there at 78. Diabetes does not introduce a new mechanism. It runs the existing one faster, and that sentence summarizes a great deal of what diabetes does to a body.
Check Your Understanding 2.7
- Two patients have the same fasting glucose of 130 mg/dL. One has an HbA1c of 5.9%, the other 9.2%. What does the difference tell you?
- A patient with a hemolytic anemia — red cells surviving 45 days instead of 120 — has an HbA1c of 5.2% despite obvious hyperglycemia. Explain.
- Why can humans digest starch but not cellulose, given that both are polymers of glucose?
Show answers
- The fasting value is one instant; the A1c is an integral. The patient at 5.9% has been near normal for three months and is having an unusual morning — or has been fasting unusually long. The patient at 9.2% has had an average glucose near 220 mg/dL for months, and 130 is one of her better readings. Same snapshot, entirely different disease trajectory, which is precisely why the A1c exists.
- Because HbA1c is a function of glucose concentration multiplied by exposure time. If red cells are destroyed at 45 days, hemoglobin has had barely a third of the normal opportunity to accumulate glucose adducts, so the measured percentage falls even though glucose is high. The test is falsely reassuring in any condition that shortens red cell survival — hemolysis, recent transfusion, blood loss — and falsely elevated when survival is prolonged. Knowing what a test physically measures tells you when it will lie.
- Both are glucose polymers, but the glycosidic bond differs in orientation: starch uses α-1,4 linkages and cellulose β-1,4. Human amylase and the intestinal brush-border enzymes have active sites shaped to the α configuration and cannot bind the β form at all. Enzyme specificity is shape complementarity (§2.6), and a mirrored bond angle is enough to make a molecule invisible to the enzyme. Ruminants solve this by hosting bacteria that carry cellulase; we do not, so cellulose passes through as fibre.
2.8 Lipids
Lipids are defined by a physical property rather than a chemical structure: they are insoluble in water and soluble in nonpolar solvents. Structurally they are dominated by C–C and C–H bonds — the nonpolar covalent bonds of §2.3 — which is the whole reason they behave as they do.
Why fat stores nine calories per gram
Fat yields 9 kcal/g; carbohydrate and protein yield 4. Two independent reasons:
- Chemistry. Fatty acid carbons are highly reduced — surrounded by hydrogens, rich in electrons available to hand to oxygen. Carbohydrate carbons already carry oxygen and are partly oxidized already, so less energy remains to extract.
- Physics. Glycogen is stored hydrated, carrying 2–3 g of water per gram of glycogen. Fat is stored anhydrous. Per gram of stored mass, the advantage is therefore closer to sixfold.
The consequence is dramatic. Amara at 79.8 kg with a body fat fraction near 38% carries roughly 30 kg of triglyceride ≈ 270,000 kcal — enough for two months of total starvation. Her 500 g of glycogen holds about 2,000 kcal — less than one day. Evolution chose energy density for the long reserve and accessibility for the short one.
Triglycerides and fatty acids
A triglyceride is one glycerol molecule esterified to three fatty acids — long hydrocarbon chains with a carboxyl group at one end. Formed by dehydration synthesis, broken by hydrolysis.
Saturated fatty acids have no C=C double bonds; every carbon carries its full complement of hydrogens; the chains are straight and pack tightly, so they are solid at room temperature. Unsaturated fatty acids contain one or more double bonds. In the naturally occurring cis configuration, each double bond puts a permanent 30° kink in the chain, preventing tight packing — so unsaturated fats are liquid.
That single geometric fact does a great deal of work in this book. It is why olive oil pours and butter does not; it is why cell membranes stay fluid at 37 °C (§2.8, and Chapter 3); and it is why industrially produced trans fats are harmful — hydrogenation converts cis double bonds to trans, which are straight, so a trans fat behaves like a saturated fat while being labelled unsaturated.
| Fatty acid | Notation | Type | Note |
|---|---|---|---|
| Palmitic | 16:0 | Saturated | The commonest saturated fat in the body |
| Stearic | 18:0 | Saturated | — |
| Oleic | 18:1 (ω-9) | Monounsaturated | Dominant in olive oil |
| Linoleic | 18:2 (ω-6) | Polyunsaturated | Essential — must be eaten |
| α-Linolenic | 18:3 (ω-3) | Polyunsaturated | Essential |
| Arachidonic | 20:4 (ω-6) | Polyunsaturated | Precursor of eicosanoids |
| EPA / DHA | 20:5, 22:6 (ω-3) | Polyunsaturated | Membrane and retinal lipids |
Eicosanoids — prostaglandins, thromboxanes, and leukotrienes — are 20-carbon signalling molecules made from arachidonic acid on demand. They mediate inflammation, pain, fever, uterine contraction, and platelet aggregation. They also explain a tablet Amara swallowed in triage: aspirin irreversibly acetylates the cyclooxygenase enzyme in platelets, so those platelets can make no thromboxane A₂ for the remainder of their 7–10 day lifespan and cannot aggregate normally. Platelets have no nucleus and cannot synthesize replacement enzyme. A single small dose therefore disables a cell for its whole life — which is why aspirin is dosed once daily and why it must be stopped a week before surgery.
Phospholipids and self-assembly
Replace one of a triglyceride's three fatty acids with a phosphate-containing group and you have a phospholipid: a molecule with a charged, hydrophilic head and two nonpolar, hydrophobic tails. A molecule with both characters is amphipathic, and amphipathic molecules do something remarkable in water — they organize themselves.
The organizing force is not attraction between the tails. It is entropy in the water. Water forced to surround a nonpolar chain must adopt an ordered cage-like arrangement, which is entropically expensive. Clustering the nonpolar chains together minimizes the total surface water must cage. The tails are not pulled together; they are pushed. This is the hydrophobic effect, and it builds every membrane in your body without a single enzyme.
Geometry determines what forms. A single-tailed molecule is cone-shaped and packs into a spherical micelle. A two-tailed phospholipid is roughly cylindrical and packs into a flat bilayer. Bile salts make micelles that ferry dietary fat to the intestinal wall; phospholipids make the bilayer that is the boundary of every cell you own.
AMPHIPATHIC MOLECULES IN WATER — FOUR STRUCTURES, ONE FORCE
══════════════════════════════════════════════════════════════════════
THE MONOMER WHY IT ASSEMBLES
┌──────┐ ← PHOSPHATE + choline Water must build an ordered CAGE
│ HEAD │ polar, charged, around any nonpolar chain. That
└──┬───┘ HYDROPHILIC costs entropy. Hiding the chains
│ from water is the cheapest option.
═══╪═══ glycerol backbone
│ → THE HYDROPHOBIC EFFECT
║ ║ ← two FATTY ACID tails Tails are not PULLED together.
║ ╲ nonpolar, HYDROPHOBIC They are PUSHED. No enzyme,
║ ╲ (one kinked = cis no ATP, no template required.
║ ║ double bond)
══════════════════════════════════════════════════════════════════════
1 MICELLE (single-tail, cone-shaped) 2 BILAYER (two-tail, cylinder)
○○○○○○ ○○○○○○○○○○○○○○○○○○○○○ heads
○ ║║║║║║ ○ ║║║║║║║║║║║║║║║║║║║║║ tails
○ ║║ ●● ║║ ○ ← fat or ║║║║║║║║║║║║║║║║║║║║║ ~5 nm
○ ║║ ●● ║║ ○ vitamin ○○○○○○○○○○○○○○○○○○○○○ heads
○ ║║║║║║ ○ cargo
○○○○○○ WATER above and below; the
Bile salts do this in the interior is an oil film 3 nm
gut, carrying fat to the thick. THE CELL BOUNDARY.
absorptive surface. (Chapter 3 builds on this.)
══════════════════════════════════════════════════════════════════════
3 LIPOPROTEIN — a micelle with an ADDRESS
╭──────────────────────────────╮
│ ○○ PHOSPHOLIPID MONOLAYER ○○│ ← polar face out: the particle
│ ○ ╔══════════════════════╗ ○│ dissolves in plasma
│○ ║ TRIGLYCERIDE + ║ ○│
│○ ║ CHOLESTERYL ESTER ║ ○│ ← nonpolar cargo, hidden
│ ○ ║ (the cargo) ║ ○ │
│ ○ ╚══════════════════════╝○ │
│ ▓▓▓ APOLIPOPROTEIN ▓▓▓ │ ← THE ADDRESS LABEL.
╰──────────────────────────────╯ Determines which receptor
+ free cholesterol wedged on which organ accepts it.
among the phospholipids
══════════════════════════════════════════════════════════════════════
4 CHOLESTEROL IN A MEMBRANE — the fluidity buffer
warm (37 degC): rings sit BETWEEN tails, restrain their motion
→ membrane LESS fluid than it would be
cold: rings BLOCK tails from packing into a solid
→ membrane MORE fluid than it would be
One molecule, opposite effects, because it interferes with
whatever the tails were about to do.
○○○○○○○○○○○○○○○○○○○○○
║║║▓║║║║║▓║║║║║║▓║║║║ ▓ = cholesterol's rigid four-ring
║║║▓║║║║║▓║║║║║║▓║║║║ core wedged among the tails
○○○○○○○○○○○○○○○○○○○○○
Figure 2.6 — Amphipathic self-assembly: micelle, bilayer, lipoprotein, and cholesterol's role in the membrane.
Described: A phospholipid monomer is drawn with a polar, charged, hydrophilic head of phosphate and choline, a glycerol backbone, and two nonpolar hydrophobic fatty acid tails, one of them kinked by a cis double bond. Such molecules assemble because water must build an ordered cage around any nonpolar chain, which costs entropy; hiding the chains is cheaper, so the tails are pushed together rather than pulled — the hydrophobic effect, requiring no enzyme, no ATP, and no template. Four resulting structures are compared. A micelle forms from single-tailed cone-shaped molecules: a sphere of heads outward around a nonpolar core that can carry fat or fat-soluble vitamin cargo, which is what bile salts do in the gut. A bilayer forms from two-tailed cylindrical phospholipids: two sheets of heads facing water above and below, enclosing an oil film about three nanometres thick within a total width of about five nanometres — the cell boundary. A lipoprotein is a micelle with an address: a phospholipid monolayer with its polar face outward so the particle dissolves in plasma, enclosing triglyceride and cholesteryl ester cargo, with free cholesterol wedged among the phospholipids and an apolipoprotein embedded in the surface that determines which receptor on which organ will accept it. Finally, cholesterol acts as a fluidity buffer within a membrane: at thirty-seven degrees its rigid four-ring core sits between the tails and restrains their motion, making the membrane less fluid, while in the cold the same rings block the tails from packing into a solid, making the membrane more fluid — one molecule with opposite effects, because it interferes with whatever the tails were about to do.
Steroids and cholesterol
Steroids are built on a characteristic skeleton of four fused carbon rings. Cholesterol is the parent compound and it has three distinct jobs:
- Membrane component. Roughly one cholesterol molecule per two phospholipids in a typical plasma membrane, acting as the fluidity buffer described in Figure 2.6.
- Precursor. Every steroid hormone in the body — cortisol, aldosterone, testosterone, estradiol, progesterone — is made from cholesterol, as are the bile salts that emulsify dietary fat and vitamin D₃ made in skin.
- Structural raw material for growth and repair, especially of nervous tissue.
Cholesterol is therefore essential, and the body does not rely on diet for it: the liver and other tissues synthesize 700–1,000 mg/day, against 300–500 mg in a typical diet. The rate-limiting enzyme of that synthetic pathway is HMG-CoA reductase, and it is one of the most consequential drug targets in medicine.
Lipoproteins — the answer to Amara's third case question
Cholesterol is nonpolar and cannot dissolve in plasma. It travels inside lipoproteins: spherical particles with a nonpolar cargo core, a phospholipid monolayer, and one or more surface apolipoproteins that act as molecular addresses, determining which receptor on which organ will take the particle up. Lipoproteins are classified by density, which is inversely related to lipid content: more lipid, less protein, lower density.
| Particle | Density | Main cargo | Key apolipoprotein | Job |
|---|---|---|---|---|
| Chylomicron | Lowest | Dietary triglyceride | apoB-48 | Gut → tissues, after a meal |
| VLDL | Very low | Liver-made triglyceride | apoB-100 | Liver → tissues |
| IDL | Intermediate | Remnant | apoB-100, apoE | Transient; becomes LDL |
| LDL | Low | Cholesteryl ester | apoB-100 | Delivers cholesterol to tissues |
| HDL | High | Cholesteryl ester | apoA-I | Returns cholesterol from tissues to liver |
So LDL and HDL are not two kinds of cholesterol. They are the same cholesterol travelling in opposite directions. LDL carries it outward from the liver to peripheral tissue; HDL performs reverse cholesterol transport, scavenging excess cholesterol from cells — including from macrophages inside arterial walls — and returning it to the liver for disposal in bile.
Why LDL is atherogenic and HDL is not is a matter of size and destination. LDL particles are small enough to cross a damaged endothelium into the subendothelial space of an artery, where they are trapped by matrix proteoglycans and chemically oxidized. Oxidized LDL is taken up by macrophage scavenger receptors, which — unlike the ordinary LDL receptor — are not downregulated by intracellular cholesterol. The macrophage keeps eating, becomes a lipid-laden foam cell, and dies there. That accumulation is the atherosclerotic plaque, and the plaque that ruptured in one of Amara's coronary arteries is the reason she is in an emergency department.
Now the arithmetic that answers her third question. Her LDL of 168 was never measured. It was calculated by the Friedewald equation:
LDL = Total cholesterol − HDL − (Triglycerides ÷ 5) = 255 − 38 − (244 ÷ 5) = 255 − 38 − 48.8 = 168 mg/dL
The triglyceride-over-five term is an estimate of the cholesterol carried in VLDL. It is a useful approximation that becomes unreliable when triglycerides exceed about 400 mg/dL, which is why non-HDL cholesterol — total minus HDL, or 217 mg/dL for Amara — is increasingly preferred: it requires no assumption and captures every atherogenic apoB-bearing particle at once.
One more number. Her triglyceride-to-HDL ratio is 244/38 = 6.4, against a desirable value below 2. A high ratio is a chemical signature of insulin resistance and is associated with a shift toward small, dense LDL particles — which penetrate the arterial wall more readily than large buoyant ones. Her LDL number is bad; the particles behind it are probably worse than the number suggests.
Clinical Connection · Statins — Blocking a Pathway to Force a Receptor
Statins inhibit HMG-CoA reductase, the rate-limiting enzyme of cholesterol synthesis. The naive expectation is that this lowers blood cholesterol by making less of it. The real mechanism is more interesting and more instructive.
When a hepatocyte's internal cholesterol supply falls, it responds — via a sterol-sensing transcription factor — by increasing the number of LDL receptors it displays on its surface. Those receptors bind apoB-100 and pull LDL particles out of the plasma. So the drug lowers circulating LDL chiefly by upregulating clearance, not by reducing production. Blocking a synthetic pathway causes a cell to go shopping.
High-intensity therapy (for example atorvastatin 80 mg daily) typically lowers LDL by 45–55%. For Amara, 168 mg/dL would be expected to fall to roughly 80 mg/dL.
Two chemical footnotes with clinical consequences. The pathway statins block is the mevalonate pathway, which also produces coenzyme Q10 and the isoprenoid groups used to anchor certain signalling proteins to membranes; partial depletion of these is one proposed explanation for statin-associated muscle symptoms, which Chapter 9 revisits when Amara starts therapy. And because cholesterol synthesis peaks overnight, shorter-acting statins are given in the evening — a dosing rule that is pure biochemistry.
Histology · Why Fat Is Invisible on a Routine Slide
Look at a standard hematoxylin-and-eosin section of adipose tissue and you see something peculiar: a mesh of thin pink lines around large empty holes, often described as chicken wire. Each adipocyte appears as an empty space with a flattened nucleus pushed against one edge — the "signet ring" appearance.
The cells are not empty. They were full of triglyceride, and the triglyceride is gone, because routine tissue processing dehydrates the specimen through graded alcohols and clears it in xylene — both nonpolar solvents. Lipids are soluble in nonpolar solvents by definition (§2.8), so the fat dissolves out and is washed away, leaving the protein and carbohydrate scaffolding behind. What you are looking at is the hole where a lipid droplet used to be.
To see lipid you must avoid the solvents entirely: cut the tissue frozen and stain with a fat-soluble dye that partitions into the droplet — Oil Red O or Sudan black — or fix with osmium tetroxide, which reacts with unsaturated fatty acid double bonds and blackens them, which is how lipid is visualized in electron microscopy.
The general lesson is worth carrying into every histology sidebar in this book: a stained slide is not the tissue, it is a record of what survived the processing. Knowing the chemistry of the preparation tells you what you are allowed to conclude from the picture.
Check Your Understanding 2.8
- A patient's total cholesterol is 240, HDL 60, triglycerides 150. Calculate LDL and non-HDL cholesterol. Which is the more reliable number if her triglycerides were 600 instead?
- Explain, using bond geometry, why a diet high in trans fats behaves like a diet high in saturated fat.
- Why does the body bother to make HDL at all, given that cells can synthesize their own cholesterol?
Show answers
- LDL = 240 − 60 − (150/5) = 240 − 60 − 30 = 150 mg/dL. Non-HDL = 240 − 60 = 180 mg/dL. At triglycerides of 600, the Friedewald estimate breaks down — the assumption that VLDL cholesterol equals triglycerides divided by five fails at high triglyceride concentrations, and the calculated LDL becomes unreliable or frankly negative. Non-HDL cholesterol is then the better number because it involves no assumption: it is simply everything that is not HDL, which is everything atherogenic.
- Naturally occurring unsaturated fatty acids have cis double bonds, each of which kinks the chain about thirty degrees and prevents neighbouring chains from packing closely — which is what keeps them liquid and membranes fluid. Industrial partial hydrogenation converts many of those double bonds to the trans configuration, in which the chain continues straight. A trans fatty acid is chemically unsaturated but geometrically indistinguishable from a saturated one, so it packs tightly and behaves like one. Geometry, not the double bond count, determines the physical behaviour.
- Because cells can make cholesterol but cannot destroy it — no human enzyme breaks the steroid ring system. The only routes out of the body are excretion in bile, either as free cholesterol or converted to bile salts, and both require the molecule to reach the liver. A cell in an artery wall that has accumulated more cholesterol than it needs therefore has no local disposal option at all, and would be stuck with it permanently. HDL is the collection service, and reverse cholesterol transport is the only exit route the body possesses.
2.9 Proteins and Nucleic Acids
Amino acids and the peptide bond
Proteins are polymers of amino acids. Every amino acid has the same four groups attached to a central carbon: an amino group (–NH₂), a carboxyl group (–COOH), a hydrogen, and a variable R group or side chain. There are twenty in human proteins, and the R group is the only difference between them. Nine are essential — the body cannot synthesize them and they must be eaten.
R groups sort into four classes, and the classification predicts where in a folded protein each residue will end up:
| R group class | Examples | Behaviour in water | Where it ends up |
|---|---|---|---|
| Nonpolar | Valine, leucine, isoleucine, phenylalanine, alanine | Hydrophobic | Buried in the protein's core, or spanning a membrane |
| Polar uncharged | Serine, threonine, glutamine, asparagine | Hydrophilic | Surface; hydrogen bonding; often phosphorylation sites |
| Acidic (−) | Aspartate, glutamate | Hydrophilic | Surface; ionic bonds; metal binding |
| Basic (+) | Lysine, arginine, histidine | Hydrophilic | Surface; ionic bonds; histidine buffers, pKa ≈ 6.0 |
Three side chains are special enough to name individually. Glycine has a single hydrogen as its R group, making it tiny and unusually flexible — which is why it appears at every third position in collagen's triple helix, where no larger residue would fit. Proline's side chain loops back to its own backbone nitrogen, putting a rigid kink in the chain and terminating α-helices. Cysteine carries a thiol (–SH) group that can oxidize with a second cysteine to form a covalent disulfide bridge — the only covalent cross-link inside a folded protein, and the reason keratin in hair and nails is so tough.
Amino acids join by dehydration synthesis: the carboxyl of one condenses with the amino group of the next, releasing water and forming a peptide bond. The resulting chain has direction — a free amino end (N-terminus) and a free carboxyl end (C-terminus) — and is always written and synthesized N to C.
The four levels of structure
PROTEIN STRUCTURE — FOUR LEVELS, AND THE BOND THAT HOLDS EACH
══════════════════════════════════════════════════════════════════════
PRIMARY (1°) the SEQUENCE held by: PEPTIDE BONDS (covalent)
─────────────────────────────────────────────────────────────────────
N-Val-His-Leu-Thr-Pro-Glu-Glu-Lys...-C (human beta-globin)
▲
position 6
SICKLE: Glu → Val ONE substitution out of 146.
Glu is acidic and charged; Val is nonpolar. A hydrophobic patch
now sits on the molecule's SURFACE, where water cages it — so
deoxygenated molecules stick to one another and POLYMERIZE into
rigid fibres that deform the whole cell. One atom's worth of
chemistry, one disease.
→ 1° DETERMINES EVERYTHING BELOW. It is the only level encoded
by DNA; the rest is self-assembly.
SECONDARY (2°) local repeating shape held by: HYDROGEN BONDS
───────────────────────────────────── between BACKBONE atoms only
(C=O ····· H-N), NOT R groups
ALPHA HELIX BETA PLEATED SHEET
╭─╮ ╭─╮ ╭─╮ ═══════════►
╱ V V ╲ ┊ ┊ ┊ ┊ ┊ ← H-bonds between
╰─╯ ╰─╯ ╰─╯ ╰─╯ ◄═══════════ adjacent strands
3.6 residues per turn ┊ ┊ ┊ ┊ ┊
C=O of residue i bonds ═══════════►
to N-H of residue i+4
(keratin, myosin tails) (silk, antibody domains, amyloid)
TERTIARY (3°) the whole 3-D fold of ONE chain
─────────────────────────────────────────────────────────────────────
held by R-GROUP interactions, listed by strength:
DISULFIDE BRIDGE Cys-S-S-Cys ~250 kJ/mol COVALENT
IONIC / salt bridge Asp- ···· +Lys ~20 kJ/mol
HYDROGEN BOND Ser-OH ···· O=C ~10 kJ/mol
HYDROPHOBIC CORE Leu/Val/Phe packed entropic — and it is
away from water the DOMINANT force
VAN DER WAALS everywhere close ~2 kJ/mol each
┌────────────────────────┐ POLAR residues face OUT (water)
│ ○ ○ ▓▓▓▓▓▓▓ ○ ○ │ NONPOLAR residues face IN
│ ○ ▓ hydro- ▓ ○ │ → the protein turns itself inside
│ ○ ▓ phobic ▓ ○ │ out relative to a membrane, where
│ ○ ○ ▓▓▓▓▓▓▓ ○ ○ │ the arrangement is REVERSED
└────────────────────────┘
QUATERNARY (4°) two or more folded chains assembled
─────────────────────────────────────────────────────────────────────
HEMOGLOBIN = 2 alpha + 2 beta chains + 4 heme groups + 4 Fe atoms
╭───╮╭───╮ Not all proteins have a 4° level.
│ a ││ b │ Those that do can show COOPERATIVITY:
╰───╯╰───╯ one subunit binding O2 changes the shape
╭───╮╭───╮ of the others. That is where the sigmoid
│ b ││ a │ oxygen dissociation curve comes from.
╰───╯╰───╯
══ DENATURATION ═════════════════════════════════════════════════════
Heat >41 degC · extreme pH · heavy metals · alcohol · radiation
break 2°, 3°, and 4° — the WEAK bonds
leave 1° intact — the peptide bonds survive
→ shape lost → FUNCTION LOST. Usually irreversible in vivo.
Egg white. Fever. Burns. Fixation of a histology specimen.
And, deliberately: gastric acid denaturing dietary protein so
that pepsin can reach the peptide bonds.
Figure 2.7 — The four levels of protein structure and the bonds that maintain each.
Described: Four levels of protein structure are shown with the bond type holding each. Primary structure is the amino acid sequence, held by covalent peptide bonds; the example is human beta-globin, where a single substitution of valine for glutamate at position six out of one hundred forty-six replaces a charged acidic residue with a nonpolar one, placing a hydrophobic patch on the molecule's surface so that deoxygenated molecules stick together and polymerize into rigid fibres — sickle cell disease. Primary structure is the only level encoded by DNA; everything below it is self-assembly. Secondary structure is local repeating shape held by hydrogen bonds between backbone atoms only, not side chains: the alpha helix has 3.6 residues per turn with each carbonyl bonding to the amide nitrogen four residues along, as in keratin and myosin tails, while the beta pleated sheet hydrogen-bonds adjacent extended strands, as in silk, antibody domains, and amyloid. Tertiary structure is the complete three-dimensional fold of one chain, held by side-chain interactions listed by strength: covalent disulfide bridges at about 250 kilojoules per mole, ionic salt bridges at about 20, hydrogen bonds at about 10, van der Waals contacts at about 2 each, and the dominant force, the entropically driven packing of nonpolar residues into a hydrophobic core away from water, with polar residues facing outward — an arrangement that reverses for membrane-spanning proteins. Quaternary structure is the assembly of two or more folded chains, exemplified by hemoglobin's two alpha and two beta chains with four heme groups and four iron atoms, which permits cooperativity, the origin of the sigmoid oxygen dissociation curve. Denaturation by heat above forty-one degrees, extreme pH, heavy metals, alcohol, or radiation breaks the weak bonds of secondary, tertiary, and quaternary structure while leaving the covalent primary sequence intact; shape is lost, function is lost, and in the body the change is usually irreversible.
Denaturation
Denaturation is the loss of a protein's three-dimensional shape without breaking its peptide bonds. Because function depends entirely on shape — an active site is a shape, a receptor is a shape, a channel is a shape — denaturation abolishes function.
The agents are exactly the things that disrupt weak bonds: heat (which supplies enough kinetic energy to break hydrogen bonds), extreme pH (which adds or removes protons from acidic and basic side chains, destroying ionic bonds), heavy metals (which bind thiol groups), alcohols and detergents (which disrupt the hydrophobic core), and radiation.
The body exploits denaturation deliberately in one place: gastric acid at pH 1.5–3.5 unfolds dietary protein so that pepsin can reach peptide bonds that were buried inside the folded structure. Elsewhere, denaturation is damage.
Clinical Connection · The 41 °C Threshold — Fever, Heat Stroke, and Burns
Human proteins hold their tertiary structure by hydrogen bonds and hydrophobic packing, and the energy separating "folded" from "unfolded" is small — on the order of 20–60 kJ/mol for a whole protein, no more than a few hydrogen bonds' worth. That narrow margin is why body temperature is defended so tightly.
- Fever to 38–40 °C is a deliberately raised set point (Chapter 1) and denatures nothing important; it modestly accelerates enzyme kinetics and impairs bacterial and viral replication. It is a strategy, not a malfunction.
- Above about 41 °C, the most heat-labile human proteins begin to unfold. Cells respond by synthesizing heat shock proteins — molecular chaperones that hold partially unfolded proteins and help them refold — but the response is finite.
- At 42–43 °C sustained, denaturation outruns the chaperones. Membrane transport proteins fail, cytoskeletal proteins aggregate, and cells die. This is heat stroke, and its characteristic multi-organ failure — brain, liver, kidney, muscle, coagulation — reflects the fact that the lesion is not in one organ but in a class of molecules present in all of them.
- Burns are the same chemistry delivered locally and instantly. Coagulative necrosis in a full-thickness burn is literally denatured tissue protein; the leathery texture is unfolded, aggregated collagen.
The same principle explains why therapeutic hypothermia is used after cardiac arrest — cooling slows every enzymatic process, reduces oxygen demand, and buys time — and why a specimen dropped into formalin is preserved: the fixative cross-links protein and freezes the structure exactly where it was.
What proteins do
Proteins are the most functionally diverse class of molecule in the body, and roughly 20% of body mass. Fibrous proteins — collagen (25–30% of all protein in the body), elastin, keratin — are structural, insoluble, and built from repetitive sequences. Globular proteins — enzymes, antibodies, hemoglobin, transporters — are compact, soluble, and functional.
| Function | Example |
|---|---|
| Structure | Collagen, elastin, keratin |
| Movement | Actin, myosin, troponin, tropomyosin |
| Transport | Hemoglobin, albumin, membrane carriers |
| Buffering | Plasma proteins, hemoglobin (§2.5) |
| Immunity | Antibodies, complement |
| Catalysis | Every enzyme |
| Signalling | Insulin, growth hormone; all receptors |
| Clotting | Fibrinogen, thrombin, the clotting factors |
Troponin — a protein that answers Chapter 3's question
Since Amara's troponin is the reason she is being admitted, it is worth meeting the molecule here, in chemical terms.
Troponin is not one protein but a complex of three, sitting at regular intervals along the thin filament of striated muscle: troponin T (which binds tropomyosin), troponin I (which inhibits the actin–myosin interaction at rest), and troponin C (which binds Ca²⁺). When calcium arrives, troponin C binds it, the complex changes shape, tropomyosin shifts, and myosin can engage actin. Contraction follows. Chapter 9 develops this in full.
Two chemical facts make the blood test possible.
First, troponin is intracellular and structural. It is bound to the contractile apparatus inside the cell. There is no secretory pathway for it and no reason for it ever to appear in plasma. Its presence in blood is therefore not a change in regulation — it is evidence that cells have physically broken open. Chapter 3 pursues that.
Second, the cardiac isoforms differ in primary sequence from the skeletal muscle isoforms. Cardiac troponin I carries an extra 31 amino acids at its N-terminus that no skeletal isoform has. That sequence difference produces a shape difference, and a shape difference is something an antibody can recognize (§2.6: specificity is shape complementarity). The assay uses two antibodies raised against cardiac-specific epitopes, so a value of 2.4 ng/mL means cardiac muscle, not the muscle she strained lifting a patient last week.
A difference in primary structure, translated into a difference in shape, translated into a diagnosis. That is the chain of reasoning this whole chapter has been building.
Nucleic acids
A nucleotide has three parts: a five-carbon sugar, a phosphate group, and a nitrogenous base. Polymerize them through phosphodiester bonds between the sugar of one and the phosphate of the next, and you have a nucleic acid.
| DNA | RNA | |
|---|---|---|
| Sugar | Deoxyribose | Ribose |
| Bases | A, T, G, C | A, U, G, C |
| Strands | Double helix, antiparallel | Usually single |
| Location | Nucleus (and mitochondria) | Nucleus and cytoplasm |
| Job | Permanent information store | Working copies and machinery |
| Stability | Very high | Deliberately short-lived |
Bases come in two shapes: purines (adenine, guanine) are double-ringed; pyrimidines (cytosine, thymine, uracil) are single-ringed. Pairing is always purine-to-pyrimidine, which keeps the double helix a constant width: A pairs with T through two hydrogen bonds, G pairs with C through three. That difference in bond count is why GC-rich DNA requires more energy to separate, and it is measurable as a higher melting temperature.
The packing problem is worth a number. A human diploid nucleus contains about 6 billion base pairs, roughly 2 metres of DNA, inside a nucleus about 6 µm across. The compaction ratio exceeds 100,000-fold, and achieving it without tangling — while keeping every gene accessible on demand — is the job of the histone proteins and chromatin structure that Chapter 3 introduces and Chapter 29 completes.
Finally, note that ATP is a nucleotide — adenine, ribose, and three phosphates rather than one. So are the electron carriers NAD⁺ and FAD, the second messenger cyclic AMP, and coenzyme A. The same chemical building block serves as the medium of information, the currency of energy, and the vocabulary of signalling. Evolution reuses what works.
Development · Two Molecules That Explain Why Prenatal Chemistry Is Different
Two examples show adult biochemistry being deliberately overridden before birth.
Fetal hemoglobin (HbF). The fetus must extract oxygen from maternal blood across the placenta, which requires its hemoglobin to bind oxygen more avidly than its mother's. It achieves this with a quaternary structure change: HbF is 2α + 2γ chains rather than 2α + 2β, and the γ chain binds the regulatory molecule 2,3-bisphosphoglycerate poorly. Less 2,3-BPG bound means higher oxygen affinity, and the fetal oxygen dissociation curve shifts left of the maternal one, so oxygen transfers down the gradient at the placenta. Two amino acid substitutions in one subunit reverse the direction of oxygen flow between two people. The switch to adult hemoglobin completes by about six months after birth — which is why sickle cell disease, a β-chain disorder, does not manifest in the newborn period.
Folate. Folate donates single-carbon units for the synthesis of thymine and for methylation reactions, and the neural tube closes between days 21 and 28 after conception — often before pregnancy is recognized. Cells closing the neural tube divide at an extraordinary rate, and cell division requires thymine, and thymine requires folate. Inadequate folate at that moment produces neural tube defects that no later supplementation can reverse. This is why periconceptional folate supplementation and flour fortification exist, and it is the clearest example in this book of a vitamin deficiency with a window rather than a gradient. Chapter 28 returns to it when Nia becomes pregnant.
Check Your Understanding 2.9
- A mutation replaces a leucine buried in a protein's hydrophobic core with an aspartate. Why is this likely to be more damaging than replacing a surface aspartate with a leucine?
- Boiling an egg is irreversible; cooling a fever restores function. Both involve protein denaturation. Explain the difference.
- Amara's troponin assay must not detect skeletal muscle troponin. What chemical property makes that possible?
Show answers
- The hydrophobic core is held together by nonpolar residues packing away from water — the dominant force in tertiary structure. Inserting a charged aspartate into that core forces water to follow it inward or leaves a charge unsatisfied in a nonpolar environment; either way the fold is destabilized and the protein may fail to fold at all. The reverse substitution places a nonpolar leucine on a water-exposed surface, which is mildly unfavourable but usually tolerated — the protein may simply be slightly less soluble. Location within the fold matters more than the identity of the substitution, which is why mutation severity cannot be predicted from sequence alone without structure.
- Denaturation is not a single event but a spectrum, and reversibility depends on whether the unfolded chains aggregate. In a fever at 39 °C, few proteins unfold, heat shock proteins chaperone those that do, and the chains refold when temperature falls. In a boiled egg, essentially all the albumin unfolds simultaneously; the exposed hydrophobic cores of millions of chains find one another and cross-link into an insoluble aggregate. Once aggregated, there is no pathway back — each chain would have to disentangle from its neighbours before refolding. Function is lost not because the sequence changed but because the chains found a lower-energy state that is not the native one.
- Primary structure. The cardiac isoform of troponin I differs in amino acid sequence from both skeletal isoforms — most usefully by an additional 31-residue N-terminal segment unique to cardiac muscle. A different sequence folds into a different surface shape, and antibodies bind by shape complementarity, exactly as enzymes bind substrates. Antibodies raised against cardiac-specific epitopes therefore bind cardiac troponin and ignore skeletal troponin, even though the two molecules do the identical job in their respective cells.
THE FOUR CLASSES OF BIOLOGICAL MACROMOLECULE, COMPARED
══════════════════════════════════════════════════════════════════════
CARBOHYDRATE LIPID PROTEIN NUCLEIC ACID
─────────────────────────────────────────────────────────────────────
ELEMENTS C H O C H O C H O N S C H O N P
(H:O = 2:1) (little O) (+ N and S!) (+ P!)
MONOMER monosaccharide (no true amino acid nucleotide
glucose, monomer) 20 kinds = sugar +
fructose, glycerol + phosphate
galactose fatty acids + base
BOND glycosidic ester peptide phospho-
linkage diester
BUILT BY dehydration dehydration dehydration dehydration
BROKEN BY hydrolysis hydrolysis hydrolysis hydrolysis
── the SAME two reactions build and break ALL four ──
ENERGY 4 kcal/g 9 kcal/g 4 kcal/g not a fuel
YIELD fast access dense, slow last resort
WATER soluble INSOLUBLE varies by soluble
BEHAVIOUR (polar OH (nonpolar surface R (charged
groups) C-H bonds) groups backbone)
→ needs a
CARRIER
MAIN JOBS immediate fuel long-term EVERYTHING: information
glycogen store fuel store structure, storage and
cell-surface membranes catalysis, transfer
ID (glycocalyx) hormones transport,
insulation signalling,
protection immunity
IN AMARA'S glucose 212 LDL 168 troponin I (the gene
LAB REPORT HbA1c 7.4% HDL 38 2.4 ng/mL variants
TG 244 albumin behind all
(anion gap) of it —
Ch. 29)
FAILURE hyperglycemia atherosclerosis denaturation mutation
MODE glycation/AGEs membrane damage misfolding (Ch. 29)
─────────────────────────────────────────────────────────────────────
Figure 2.8 — The four classes of biological macromolecule compared by composition, bonding, energy yield, water behaviour, and function.
Described: A four-column comparison. Carbohydrates contain carbon, hydrogen, and oxygen in a two-to-one hydrogen-to-oxygen ratio; their monomer is the monosaccharide, joined by glycosidic bonds; they yield four kilocalories per gram, are water-soluble because of their hydroxyl groups, and serve as immediate fuel, as glycogen stores, and as cell-surface identification in the glycocalyx; their failure modes are hyperglycemia and glycation. Lipids contain carbon, hydrogen, and little oxygen; they have no true monomer but are assembled from glycerol and fatty acids joined by ester linkages; they yield nine kilocalories per gram, are insoluble in water because of their nonpolar carbon-hydrogen bonds and therefore require carriers, and serve as long-term fuel, membranes, hormones, insulation, and protection; their failure mode is atherosclerosis. Proteins contain carbon, hydrogen, oxygen, nitrogen, and sulfur; their monomer is one of twenty amino acids joined by peptide bonds; they yield four kilocalories per gram as a last-resort fuel, vary in water behaviour according to their surface side chains, and perform essentially every job in the body — structure, catalysis, transport, signalling, and immunity; their failure modes are denaturation and misfolding. Nucleic acids contain carbon, hydrogen, oxygen, nitrogen, and phosphorus; their monomer is the nucleotide, made of sugar, phosphate, and base, joined by phosphodiester bonds; they are not a fuel, are soluble because of their charged backbone, and store and transfer information; their failure mode is mutation. All four classes are built by the same reaction, dehydration synthesis, and broken by the same reaction, hydrolysis. Each class is then linked to Amara's laboratory report: glucose and hemoglobin A1c for carbohydrate; LDL, HDL, and triglycerides for lipid; troponin I and albumin for protein; and the underlying gene variants for nucleic acid.
Chapter Summary
§2.1 Matter is anything with mass occupying space; energy is the capacity to rearrange it. Four elements — oxygen, carbon, hydrogen, nitrogen — constitute 96.1% of body mass, though hydrogen is the most abundant atom. Trace elements matter out of all proportion to their mass because each sits at the active site of a protein that cannot function without it.
§2.2 Protons set the element, neutrons set the isotope, electrons set all chemical behaviour. Valence — the number of outer-shell electrons — predicts bonding: carbon four bonds, nitrogen three, oxygen two, hydrogen one. Radioisotopes are chemically indistinguishable from their stable forms, so the body distributes them normally while a detector tracks them; half-life sets the clinical compromise between delivery and dose.
§2.3 Electronegativity difference alone generates the whole bond continuum: below 0.4 nonpolar covalent, 0.4–1.8 polar covalent, above 1.8 ionic. Polar/nonpolar predicts solubility, transport, and excretion. Hydrogen bonds at one twentieth of covalent strength are the mechanism of biological specificity, because weak bonds in bulk are both selective and reversible. Electrolytes are reported in milliequivalents because the body balances charge, not mass.
§2.4 Water's bent, polar shape produces four properties with four consequences: it dissolves anything charged (so nonpolar molecules need carriers); its high heat capacity buffers body temperature; its high heat of vaporization makes evaporative sweating the only cooling route above 35 °C ambient; and its cohesion holds serous membranes together while creating the alveolar surface tension that surfactant must defeat.
§2.5 pH is the negative log of [H⁺]. Arterial blood is held at 7.35–7.45, or 35–45 nmol/L — the least abundant ion, most tightly defended. The bicarbonate system, CO₂ + H₂O ⇌ H₂CO₃ ⇌ H⁺ + HCO₃⁻, dominates extracellular buffering not because its pKa is well matched but because it is an open system with the lungs controlling one end in seconds and the kidneys the other in days. Henderson–Hasselbalch shows that pH depends on the 20:1 ratio, which is why compensation works.
§2.6 Reactions are synthesis, decomposition, exchange, or redox; dehydration synthesis and hydrolysis build and break every macromolecule. ATP couples exergonic to endergonic reactions and is a currency in constant circulation, not a store. Enzymes lower activation energy without altering equilibrium, are specific by shape, are regulable, and often require metal cofactors or vitamin-derived coenzymes.
§2.7 Carbohydrates are fuel and identification. Glycogen's branching exists to permit rapid mobilization. Enzymatic glycosylation is functional; non-enzymatic glycation is damage whose rate depends only on glucose concentration and time — which is what HbA1c measures, integrated over the 120-day red cell lifespan.
§2.8 Lipids are defined by insolubility. Fat stores 9 kcal/g because its carbons are reduced and it is stored anhydrous. Cis double bonds kink chains and keep membranes fluid. Amphipathic molecules self-assemble into micelles and bilayers driven by water's entropy, not by attraction. Lipoproteins solve the transport problem: LDL carries cholesterol outward and is atherogenic, HDL returns it to the liver, and LDL is usually calculated rather than measured.
§2.9 Proteins are amino acid polymers whose primary sequence dictates all higher structure. Secondary structure comes from backbone hydrogen bonds, tertiary from side-chain interactions dominated by hydrophobic packing, quaternary from subunit assembly. Denaturation destroys shape and function while sparing sequence. Nucleic acids store and transfer information through complementary base pairing, and the same nucleotide chemistry supplies ATP, NAD⁺, FAD, and cyclic AMP.
The Three Threads in Chapter 2
Structure → Function. Pushed down to the atomic scale. Carbon's four valence electrons make organic chemistry possible; water's 104.5° bend makes life possible; a cis double bond's kink keeps membranes fluid; glycogen's branching permits rapid mobilization; and one amino acid substitution in 146 converts hemoglobin into a fibre-forming protein. In every case the shape is the mechanism.
Homeostasis. pH is the model case: the least abundant ion in the body, defended within 0.10 units by two organs operating on two timescales through a single equilibrium. Glucose, osmolality, and electrolyte concentrations follow the same architecture, and every abnormal number on Amara's panel is either a defended variable that has drifted or the chemical footprint of the drift.
Integration. Amara's panel is one tube of blood reporting on six organ systems at once. Glucose and HbA1c report the endocrine system's failing control loop; LDL and HDL report the liver's lipid handling and the artery wall's response; bicarbonate and pH report a negotiation between lungs and kidneys; BUN and creatinine report renal filtration; and troponin reports cardiac muscle. Chemistry is the layer at which the systems actually talk to one another.
Case File 2 · Resolution
Question 1 — Why are electrolytes reported in mEq/L while glucose and cholesterol are in mg/dL, and why does the panel print "carbon dioxide" for a number about acid?
Because the units answer different questions (§2.3, §2.4).
Milliequivalents count charge. An equivalent is one mole of charge, so mEq/L = mmol/L × valence. Sodium, potassium, chloride, and bicarbonate are reported this way because their physiological jobs — generating membrane potentials, driving osmotic water movement, and maintaining electroneutrality — depend on how much charge is present, not how much mass. For monovalent ions the two numbers coincide: Amara's sodium is 138 mEq/L and 138 mmol/L. For calcium they do not: 9.2 mg/dL is 2.30 mmol/L but 4.60 mEq/L, because each ion carries two charges.
Milligrams per decilitre count mass, which is the right unit for glucose and cholesterol because those molecules are uncharged and act as substrates and cargo rather than as charge carriers. What matters is how many grams of fuel are in circulation.
The charge convention also produces the anion gap. Plasma must be electrically neutral, so Na⁺ − (Cl⁻ + HCO₃⁻) = 138 − (102 + 24) = 12 mEq/L is not a gap at all: it is the concentration of anions the panel does not measure, chiefly albumin and phosphate. When an unmeasured acid accumulates, its anion joins that pool and the gap widens. Amara's gap of 12 is normal, and that normality is a positive finding (§2.5).
As for "carbon dioxide": the analyte is not dissolved CO₂ gas but total CO₂ content, which is over 95% bicarbonate. The name is a historical artefact of how the measurement was originally made. Chemically it is the base member of the body's dominant buffer pair, and it belongs on the panel because CO₂ + H₂O ⇌ H₂CO₃ ⇌ H⁺ + HCO₃⁻ makes bicarbonate and acid two views of the same equilibrium. Reading her HCO₃⁻ of 24 alongside her pH of 7.38 and PCO₂ of 42 confirms the Henderson–Hasselbalch arithmetic exactly: 6.1 + log(24/1.26) = 7.38.
Question 2 — What does HbA1c actually measure, and why does it look backwards in time?
It measures glycated hemoglobin — hemoglobin molecules with a glucose permanently attached to the N-terminal valine of the β-chain (§2.7).
The reaction is non-enzymatic glycation, not enzymatic glycosylation. Glucose's reactive aldehyde group collides with a free amino group and forms a reversible Schiff base, which over hours undergoes an Amadori rearrangement into a stable ketoamine that cannot detach. No enzyme catalyzes it, nothing regulates it, and nothing reverses it. The rate depends on exactly two variables: glucose concentration and exposure time.
It looks backwards because of the carrier. A red blood cell lives about 120 days and has no nucleus, no ribosomes, and no capacity to replace its hemoglobin. Every glucose adduct acquired stays until the cell is destroyed. Measuring the percentage of hemoglobin bearing the adduct across the whole red cell population therefore integrates glucose exposure over the preceding two to three months, weighted toward the recent past — about half the value comes from the last 30 days.
Amara's 7.4% converts to an estimated average glucose of (28.7 × 7.4) − 46.7 = 166 mg/dL. So her reading of 212 this morning is not a stress response to a heart attack. It is roughly consistent with where she has been living for months, and it tells you her hyperglycemia predates today by a long way. That single inference is why the test exists.
And note what the same reaction does elsewhere: glycation of long-lived collagen, elastin, and lens crystallin produces advanced glycation end products that stiffen arteries and cloud lenses. The A1c is not just a number about sugar. It is a rate meter for a damage process running in every long-lived protein she has.
Question 3 — Cholesterol is one molecule. Why two numbers, and why does the LDL value exist without having been measured?
Because LDL and HDL are not kinds of cholesterol. They are transport particles carrying the same cholesterol in opposite directions (§2.8).
Cholesterol is nonpolar (§2.3) and cannot dissolve in plasma, so it travels inside lipoprotein particles: a nonpolar core, a phospholipid monolayer, and a surface apolipoprotein that acts as an address. LDL carries apoB-100 and delivers cholesterol from the liver to peripheral tissues. HDL carries apoA-I and performs reverse transport, collecting excess cholesterol from cells — including foam-cell macrophages in artery walls — and returning it to the liver, which is the only organ that can dispose of it, since no human enzyme degrades the steroid ring.
The opposite clinical meanings follow from the direction of travel. LDL particles are small enough to enter the subendothelial space of an artery, where they are retained, oxidized, and consumed by macrophage scavenger receptors that are not downregulated by cholesterol load. The macrophage keeps eating and dies as a foam cell. That deposit is the plaque. HDL is running the same traffic in reverse.
Her LDL of 168 was calculated, using the Friedewald equation:
LDL = TC − HDL − TG/5 = 255 − 38 − (244/5) = 255 − 38 − 48.8 = 168 mg/dL
The TG/5 term estimates the cholesterol carried by VLDL. It is a serviceable approximation below about 400 mg/dL of triglyceride and unreliable above it, which is why non-HDL cholesterol — 255 − 38 = 217 mg/dL — is often the better number: it assumes nothing and counts every atherogenic particle.
Finally, her TG/HDL ratio of 6.4 (desirable below 2) is a chemical signature of insulin resistance and predicts a shift toward small dense LDL particles, which enter arterial walls more readily than large buoyant ones. Read together with her glucose of 212 and HbA1c of 7.4%, the lipid panel is not an independent finding. It is the same metabolic disturbance viewed through a different molecule.
Systems Integration Case File · Entry 2
Entry 2 — The chemistry underneath the vital signs
Chapter 1 gave you Amara's vital signs. Chapter 2 gives you her molecules. Your job is to connect the two layers.
New findings for your file: glucose 212 mg/dL, HbA1c 7.4% (eAG 166), LDL 168, HDL 38, triglycerides 244, TG/HDL ratio 6.4, calculated osmolality 294 mOsm/kg, anion gap 12, arterial pH 7.38 with PCO₂ 42 and HCO₃⁻ 24, troponin I rising from 0.09 to 2.4 ng/mL.
Your entry:
1 · ADD. In two or three sentences, state what her chemistry contributes that her vital signs could not. Identify which values are defended variables that have drifted and which are markers of a process happening elsewhere.
2 · CONNECT. Link her chemistry to at least two systems already in your file, stating the direction of causation each time.
3 · PREDICT. Her pH is normal. Name one situation in which you would expect it to stop being normal, and say through which arm of the bicarbonate system the change would appear.
Model responses — read only after writing your own
1 · ADD. Her chemistry establishes that today's event has a history. The HbA1c of 7.4% proves an average glucose near 166 mg/dL for at least three months, and the lipid pattern — LDL 168 with HDL 38 and triglycerides 244, a TG/HDL ratio of 6.4 — is the signature of insulin resistance rather than an isolated cholesterol problem. Among these, glucose, pH, osmolality, and the electrolytes are defended variables: glucose has drifted badly, osmolality has drifted to the top of its range at 294 largely because of the glucose, and pH and the electrolytes are being held normal. HbA1c, the lipid panel, and troponin are markers, not variables — nothing regulates them; they are readouts of processes occurring elsewhere. Troponin I at 2.4 ng/mL is the newest information on the page, because it reports structural damage rather than a regulatory state.
2 · CONNECT. Endocrine → cardiovascular. Insulin resistance raises glucose and drives hepatic VLDL output, which raises triglycerides and lowers HDL; the resulting small dense LDL particles enter the arterial wall and build the plaque that occluded her coronary artery. The causation runs from a failed hormonal control loop, through lipid transport, to a mechanical obstruction. Cardiovascular → cellular/chemical. The obstruction cut oxygen delivery to a region of myocardium, whose cells shifted to anaerobic glycolysis, acidified internally, failed to maintain ATP-dependent ion pumps, and released troponin. The causation runs from a macroscopic vascular event back down to Level 1. Chemical → nervous → integumentary. Her sympathetic response, driven by that ischemia, produced the tachycardia and the cool diaphoretic skin recorded in Chapter 1 — so the skin finding you documented then and the troponin you have now are the same event read at two different levels of organization.
3 · PREDICT. The most likely route to an abnormal pH is cardiogenic shock: if cardiac output falls far enough that tissue oxygen delivery becomes inadequate body-wide, cells will generate lactic acid, that acid will consume bicarbonate, and she will develop a high anion gap metabolic acidosis — HCO₃⁻ falling from 24, anion gap rising above 12, pH falling below 7.35, with a compensatory fall in PCO₂ as she hyperventilates. The change would appear in the bicarbonate (kidney/metabolic) arm first, with the respiratory arm compensating. A second, slower possibility is renal: the arc of her illness includes chronic kidney disease, and a failing kidney loses the ability to excrete the 50–100 mEq/day of fixed acid, producing a metabolic acidosis with a normal or high gap depending on the mechanism. Watch her HCO₃⁻ and her anion gap together; they are the two numbers that will move first.
Review
Level 1 · Recall
2.1 Which four elements make up approximately 96% of body mass?
a) carbon, hydrogen, oxygen, calcium b) oxygen, carbon, hydrogen, nitrogen c) oxygen, carbon, calcium, phosphorus d) hydrogen, oxygen, sodium, chlorine
Answer
b. Oxygen 65%, carbon 18.5%, hydrogen 9.5%, nitrogen 3.2%. Calcium (1.5%) and phosphorus (1.0%) are the next two, but both fall in the "lesser element" group. Note that nitrogen's low mass fraction disguises its importance: it appears in every amino acid and every nucleotide base.
2.2 An atom of carbon-14 differs from an atom of carbon-12 in its number of:
a) protons b) electrons c) neutrons d) valence electrons
Answer
c — neutrons. Both have six protons, which is what makes them carbon; carbon-14 has eight neutrons to carbon-12's six. Because electrons determine chemistry and both isotopes have six, they are chemically identical — which is precisely why radioisotopes can be used as tracers.
2.3 A bond in which electrons are shared but pulled toward one atom is:
a) ionic b) nonpolar covalent c) polar covalent d) hydrogen
Answer
c — polar covalent, corresponding to an electronegativity difference of roughly 0.4 to 1.8. Above 1.8 the electron is transferred outright and the bond is ionic; below 0.4 sharing is essentially equal and the bond is nonpolar. A hydrogen bond is not a bond between atoms at all but an attraction between molecules or between parts of one molecule.
2.4 Which property of water is most directly responsible for the effectiveness of sweating?
a) high specific heat capacity b) polarity c) high heat of vaporization d) cohesion
Answer
c — high heat of vaporization. Converting liquid water to vapour requires breaking all of a molecule's hydrogen bonds at once, costing about 580 kcal per litre, and that energy is taken from the skin. Distinguish this carefully from heat capacity, which is why the body's water resists temperature change in the first place. Note also that only the sweat that evaporates cools; sweat that drips removes almost nothing.
2.5 A patient's arterial pH is 7.20. Compared with a pH of 7.50, the hydrogen ion concentration is approximately:
a) 0.3 times as great b) 2 times as great c) 10 times as great d) 100 times as great
Answer
b — about twice as great. At pH 7.20, [H⁺] ≈ 63 nmol/L; at pH 7.50, ≈ 32 nmol/L. The tempting answer is (c), because the scale is logarithmic and the difference is 0.3 units — but a tenfold change requires a full unit. A 0.3 unit change is a factor of 10^0.3 ≈ 2. This is worth internalizing: within the clinically relevant range, each 0.30 pH units is a doubling or halving.
2.6 Enzymes accelerate reactions by:
a) increasing the free energy released b) lowering activation energy c) shifting the equilibrium toward products d) raising the temperature locally
Answer
b — lowering activation energy. An enzyme changes the rate at which equilibrium is reached, equally in both directions. It does not change ΔG, does not change the equilibrium position, and is not consumed. Distractor (c) is the commonest error; only coupling to ATP hydrolysis can make an unfavourable reaction proceed.
2.7 HbA1c reflects average blood glucose over approximately the preceding:
a) 24 hours b) 7 days c) 2–3 months d) 12 months
Answer
c — 2 to 3 months, set by the roughly 120-day lifespan of a red blood cell. Because the cell cannot replace its hemoglobin, glucose adducts accumulate irreversibly until the cell is destroyed. The value is weighted toward the recent past, with about half contributed by the preceding 30 days. Any condition shortening red cell survival falsely lowers the result.
2.8 Which lipoprotein returns cholesterol from peripheral tissues to the liver?
a) chylomicron b) VLDL c) LDL d) HDL
Answer
d — HDL, carrying apolipoprotein A-I and performing reverse cholesterol transport. LDL runs the opposite direction, delivering cholesterol to peripheral tissue, and is the atherogenic particle. Chylomicrons carry dietary triglyceride from the gut and VLDL carries liver-made triglyceride outward.
Level 2 · Comprehension
2.9 Explain why hydrogen bonds — twenty times weaker than covalent bonds — are responsible for the specificity of nearly every recognition event in the body.
Model answer
Specificity requires that a binding event be both selective and reversible, and those two demands pull in opposite directions if you use strong bonds. A covalent bond is selective enough but essentially permanent — a hormone that bound its receptor covalently could never release it, and a signal that cannot stop is not a signal.
Large numbers of weak bonds solve both problems at once. Because each hydrogen bond requires a donor and acceptor at a particular distance and angle, forming many of them simultaneously demands that the two surfaces be geometrically complementary over a substantial area — which is what makes the interaction selective. And because each is individually weak, ordinary thermal motion breaks them, so the complex has a finite lifetime and releases on its own. Binding strength becomes tunable by the number of contacts rather than being fixed by bond type. The same logic explains enzyme–substrate binding, antibody–antigen recognition, DNA base pairing, and transcription factor binding: weakness deployed in bulk is the mechanism of biological specificity.
2.10 The bicarbonate buffer has a pKa of 6.1, which is poorly matched to blood pH of 7.4. Explain why it is nevertheless the body's most important extracellular buffer.
Model answer
Because buffer capacity in a living body depends on more than the pKa match — it depends on whether the buffer components can be replenished and removed.
A closed-system buffer is consumed as it works: every proton it absorbs converts base to acid, and when the base is gone the buffer is exhausted. The bicarbonate system is an open system with both ends independently controlled by separate organs. When acid is added, H⁺ combines with HCO₃⁻ to form H₂CO₃, which becomes CO₂ and water — and the CO₂ is removed from the body by the lungs within minutes, pulling the reaction to completion instead of allowing product to accumulate. Meanwhile the kidney regenerates the bicarbonate that was consumed, over hours to days.
So the system is never saturated, its components are present in large quantity (24 mEq/L of bicarbonate against 42 nmol/L of free H⁺), and the two variables in the Henderson–Hasselbalch equation are separately adjustable — which is also what makes respiratory and metabolic compensation possible. A theoretically ideal buffer with a pKa of exactly 7.4 but no regulated removal pathway would be exhausted within an hour of ordinary metabolism.
2.11 Distinguish glycosylation from glycation, and explain why the distinction matters clinically.
Model answer
Glycosylation is the enzymatic, regulated attachment of carbohydrate to specific sites on specific proteins, carried out in the endoplasmic reticulum and Golgi apparatus. It is purposeful: it directs protein folding and trafficking, and it creates the glycocalyx that carries blood group antigens and cell recognition markers.
Glycation is the spontaneous, non-enzymatic collision of a sugar's reactive aldehyde with any exposed amino group. No enzyme, no site specificity, no regulation, and — after the Amadori rearrangement — no reversal. Its rate is determined by glucose concentration multiplied by time, and by nothing else.
Clinically the distinction matters in three ways. It explains why HbA1c is a valid integrator of glucose exposure: an unregulated reaction on a protein inside a cell that cannot renew it is a perfect recorder. It explains why hyperglycemia damages long-lived proteins preferentially — collagen, elastin, and lens crystallin accumulate advanced glycation end products because they are never replaced, producing arterial stiffening, cataract, and neuropathy. And it explains why lowering glucose is the only intervention: there is no enzyme to inhibit and no repair pathway to stimulate, so the only variable available is concentration.
2.12 Amara's calculated plasma osmolality is 294 mOsm/kg. Explain how it was calculated, which solute is responsible for it being at the top of the normal range, and one consequence.
Model answer
Calculated osmolality ≈ 2 × [Na⁺] + glucose/18 + BUN/2.8 = 2(138) + 212/18 + 18/2.8 = 276 + 11.8 + 6.4 = 294 mOsm/kg against a normal range of 275–295.
Sodium is doubled because it obligates an equal number of accompanying anions, chiefly chloride and bicarbonate; glucose is divided by 18 and BUN by 2.8 to convert mg/dL to mmol/L using their molecular weights.
Glucose is the reason the value sits at the ceiling. At 212 mg/dL it contributes 11.8 mOsm/kg where a normal fasting value of 90 would contribute 5.0 — an excess of nearly 7 mOsm/kg. Every 100 mg/dL of glucose above normal adds about 5.5 mOsm/kg.
The consequence is osmotic water movement. Glucose does not freely enter most cells without insulin, so it is an effective osmole in the extracellular fluid: it draws water out of cells into the extracellular compartment. Persistent hyperglycemia also exceeds the renal reabsorptive threshold, producing an osmotic diuresis that loses water and electrolytes — the mechanism behind the polyuria and thirst that classically accompany uncontrolled diabetes. Chapter 3 develops the cellular side of this as tonicity.
Level 3 · Clinical Application
2.13 A patient with severe vomiting for three days has arterial pH 7.52, PCO₂ 48 mm Hg, and HCO₃⁻ 38 mEq/L. Explain each number chemically, identify the disorder, and state whether compensation is occurring.
Model answer
The disorder is metabolic alkalosis with partial respiratory compensation.
The pH. 7.52 is above 7.45, so she is alkalemic — [H⁺] is about 30 nmol/L against a normal 40.
The bicarbonate. Gastric juice is pH 1.5–3.5, so vomiting removes hydrochloric acid from the body. Removing acid is chemically equivalent to adding base: with less free H⁺, the equilibrium CO₂ + H₂O ⇌ H₂CO₃ ⇌ H⁺ + HCO₃⁻ shifts rightward to replace the missing protons, and bicarbonate accumulates. Her HCO₃⁻ of 38 against a normal 24 is the primary disturbance. Chloride is lost at the same time, which is why this alkalosis is called chloride-responsive and why it is corrected with saline rather than with acid.
The PCO₂. 48 mm Hg is above the normal 40. This is not a second disease — it is compensation. Alkalemia suppresses the respiratory drive, she hypoventilates, and CO₂ is retained, which increases the denominator of the Henderson–Hasselbalch ratio and pulls pH back down. Check the arithmetic: 6.1 + log(38 / (0.03 × 48)) = 6.1 + log(38/1.44) = 6.1 + 1.42 = 7.52, matching the measured value.
Is compensation adequate? Only partly — pH remains above 7.45. Respiratory compensation for metabolic alkalosis is always limited, because hypoventilating enough to fully normalize pH would cause hypoxemia, and the resulting fall in arterial oxygen re-stimulates breathing. The body will not trade oxygen for pH. Definitive correction requires the kidney to excrete the excess bicarbonate, which it cannot do efficiently while chloride and volume are depleted.
2.14 A 62-year-old man on a statin develops muscle aching and a creatine kinase of 900 U/L. Explain the biochemistry of statins, one proposed mechanism for the muscle symptoms, and why a raised creatine kinase is analogous to Amara's raised troponin.
Model answer
The drug. Statins competitively inhibit HMG-CoA reductase, the rate-limiting enzyme of the mevalonate pathway and therefore of cholesterol synthesis. Their main effect on plasma LDL is indirect: as hepatocyte cholesterol falls, sterol-sensing transcription factors upregulate LDL receptor expression on the hepatocyte surface, and those receptors clear apoB-100-bearing particles from plasma. Inhibiting synthesis works by increasing clearance.
The muscle symptoms. The mevalonate pathway does not only make cholesterol. It also produces coenzyme Q10, a carrier in the mitochondrial electron transport chain, and isoprenoid groups used to anchor small signalling proteins to membranes. Partial depletion of these products in skeletal muscle is one proposed mechanism for statin-associated muscle symptoms; impaired mitochondrial ATP production would be felt first in the tissue with the highest and most variable energy demand. The effect is dose-related and is one reason for the drug-interaction warnings with agents that raise statin blood levels.
Why CK is analogous to troponin. Creatine kinase is an enzyme that lives inside muscle cells and has no business in plasma. Its presence there means the same thing troponin's presence means: cells have lost membrane integrity and their contents have leaked out. The difference is location, and that difference comes from primary structure. CK exists as tissue-characteristic isoforms, and cardiac troponin I and T differ in sequence from their skeletal counterparts, which allows antibodies to distinguish them. A raised total CK with normal troponin points to skeletal muscle; a raised troponin points to myocardium. Both are leakage markers, and Chapter 3 explains why leakage takes hours rather than being instantaneous.
2.15 A marathon runner collapses at mile 22. She is confused, her core temperature is 40.8 °C, her skin is wet, and her serum sodium is 126 mEq/L. Analyse this using water chemistry.
Model answer
Two separate water problems have occurred simultaneously, and they require opposite treatments — which is what makes this scenario dangerous.
The temperature. She is generating perhaps 11–13 kcal/min of heat against a whole-body heat capacity near 48 kcal/°C. She is sweating, so the effector is working; the limitation is evaporation, which requires a vapour pressure gradient to the air. Wet skin at 40.8 °C indicates sweat that is not evaporating — high humidity, or air already saturated. Above skin temperature, radiation and convection add heat rather than removing it, so with evaporation blocked she has no functioning cooling route at all. At 40.8 °C she is approaching the threshold at which the least stable proteins denature, and the confusion is the first clinical sign of it.
The sodium. 126 mEq/L is exercise-associated hyponatremia. She has lost sodium in sweat while replacing volume with hypotonic fluid, diluting the sodium that remains. Plasma osmolality falls, and water moves osmotically from the extracellular fluid into cells — including brain cells, which are enclosed in a rigid skull. Cerebral edema is the mechanism of the confusion, and it is at least as likely a cause here as the temperature.
Why the combination is a trap. The instinctive treatments conflict. Aggressive hypotonic fluid for presumed dehydration would worsen the hyponatremia and could precipitate seizures; withholding all fluid does nothing for the hyperthermia. Correct management addresses the temperature by external cooling — cold water immersion, which exploits water's high heat capacity and the steep conductive gradient — rather than by fluids, and addresses the sodium by restricting free water and, if she is symptomatic, giving hypertonic saline. Her weight change during the race, if known, distinguishes the two: net gain means overdrinking, net loss means dehydration. Two of water's four properties, pulling in opposite clinical directions in one patient.
Level 4 · Integration and Synthesis
2.16 Amara's HbA1c is 7.4%, her LDL is 168, her HDL is 38, and her triglycerides are 244. Construct the causal chain linking a single upstream defect to all four numbers and to the coronary event that brought her in. Identify at least one point where the chain feeds back on itself.
Model answer
The upstream defect is insulin resistance — target cells failing to respond to insulin, which by Chapter 1's framework is an effector-limb failure in the glucose control loop rather than a signal failure.
The chain, forwards:
- Muscle and adipose tissue respond poorly to insulin, so glucose is cleared from plasma sluggishly. Fasting and postprandial glucose rise → glucose 212.
- Chronic exposure of hemoglobin to elevated glucose drives non-enzymatic glycation at a rate proportional to concentration × time. Because red cells live 120 days and cannot renew their hemoglobin, the adduct accumulates → HbA1c 7.4%, eAG 166.
- Insulin normally suppresses adipose lipolysis. Resistance releases that brake, so free fatty acids flood the portal circulation, and the liver esterifies them and exports them as VLDL → triglycerides 244.
- Triglyceride-rich VLDL exchanges triglyceride for cholesteryl ester with HDL and LDL via cholesteryl ester transfer protein. The triglyceride-enriched HDL is then cleared faster → HDL 38. The triglyceride-enriched LDL is lipolysed into small dense LDL, which penetrates the arterial wall more readily → an LDL of 168 whose particles are worse than the number implies. Her TG/HDL ratio of 6.4 is the fingerprint of exactly this sequence.
- Small dense LDL enters the subendothelial space, is retained by proteoglycans and oxidized, and is consumed by macrophage scavenger receptors that are not downregulated by cholesterol load. Foam cells form and die; a lipid core with a fibrous cap accumulates. Glycation-derived AGEs binding RAGE receptors on endothelium add an inflammatory contribution, thinning the cap.
- The cap ruptures. Exposed collagen and tissue factor trigger platelet adhesion and the clotting cascade — a positive feedback process (Chapter 1) — and a thrombus occludes the vessel. Myocardium downstream loses oxygen, shifts to anaerobic glycolysis, acidifies, fails to maintain ATP-dependent ion pumps, and its cells die, releasing troponin.
Feedback points. At least three. Hyperglycemia produces AGEs, which promote vascular inflammation, which worsens endothelial insulin signalling and further impairs glucose disposal. Free fatty acid delivery to muscle and liver directly worsens insulin resistance — a lipid consequence feeding back on its glucose cause. And Chapter 1's loop reappears at the end: sympathetic activation raises heart rate and blood pressure to defend perfusion, which raises myocardial oxygen demand, which widens the supply–demand gap in an already ischemic muscle.
The single most important point: her four abnormal lipid and glucose numbers are not four problems. They are one problem observed through four molecules, which is why treating them individually is less effective than treating the upstream defect.
2.17 Argue for or against: "Water is the most important molecule in physiology, more so than DNA or ATP." Use at least four specific properties and at least two clinical examples.
Model answer
A strong answer argues for the claim on functional grounds while qualifying it on informational grounds.
The case for water. First, polarity makes it the solvent in which every other molecule operates: DNA and ATP are chemically inert without an aqueous medium, and the entire structure of proteins and membranes is determined by the hydrophobic effect, which is a property of water rather than of the molecules being organized. Second, high heat capacity — 40 litres in an adult — buffers the temperature at which enzymes function; a 4 °C excursion denatures proteins, and water is what prevents it. Third, high heat of vaporization provides the only cooling mechanism available above 35 °C ambient. Fourth, cohesion couples the lung to the chest wall across the pleural space and creates the surface tension surfactant exists to oppose. Fifth, water is a reactant in every hydrolysis, which is to say in all digestion and all macromolecule turnover.
Clinical examples. Exercise-associated hyponatremia demonstrates that a 10% change in plasma sodium — which is a statement about water distribution, not about sodium mass — produces cerebral edema and death. And heat stroke demonstrates that when the evaporative mechanism fails, core temperature rises past the protein denaturation threshold within an hour, killing a person whose DNA and ATP machinery are entirely intact.
The qualification. The claim conflates two kinds of importance. Water is the most important molecule as a medium — it sets the conditions under which everything else works, and no substitute exists. DNA is the most important molecule as information — it is the only one that is copied and inherited, and it specifies every protein, including all the machinery that manages water. ATP is the most important as a currency. The honest formulation is that water is the most important molecule for function on any timescale shorter than a generation, and DNA is the most important for continuity beyond one. A physiologist and a geneticist can both be right because they are ranking against different criteria.
Concept Map to Complete
Copy this onto blank paper and fill every bracket from memory before checking the chapter.
ELECTRONEGATIVITY DIFFERENCE
│
┌─────────────────┼─────────────────┐
ΔEN < [ ___ ] ΔEN [ ___ ] ΔEN > [ ___ ]
[ __________ ] [ __________ ] [ __________ ]
COVALENT COVALENT BOND
│ │ │
molecule is molecule is dissociates in
[ __________ ] [ __________ ] water into
│ │ [ __________ ]
examples: examples: reported by the
[ ____ ][ ____ ] [ ____ ][ ____ ] lab in [ ______ ]
│ │
└────────┬────────┘
│
WATER is [polar/nonpolar]
│
┌──────────┬───┴──────┬──────────────┐
property1 property2 property3 property4
[ ______ ] [ ______ ] [ ______ ] [ ______ ]
│ │ │ │
consequence consequence consequence consequence
[ ______ ] [ ______ ] [ ______ ] [ ______ ]
THE BICARBONATE BUFFER
[ ___ ] + H2O ⇌ [ _____ ] ⇌ [ __ ] + [ _____ ]
▲ ▲
set by the [ _____ ] set by the [ _____ ]
in [ seconds / days ] in [ seconds / days ]
pH = [ ___ ] + log ( [ _____ ] / 0.03 x [ _____ ] )
normal ratio = [ ___ ] : 1
Lab / Self-Exploration
- Watch the hydrophobic effect. Put a tablespoon of oil into a glass of water and stir vigorously. Time how long the droplets take to coalesce. Now add a drop of dish detergent — an amphipathic molecule — and stir again. Explain, using §2.8, why the emulsion now persists, and name the molecule in your own small intestine that does the same job.
- Measure evaporative cooling. Wet the back of one hand and leave the other dry. Wave both in the air for thirty seconds. The temperature difference you feel is water's heat of vaporization, and it is roughly 580 kcal per litre evaporated. Predict what would happen to the effect in a steam-filled bathroom, then test it.
- Build the pH scale from your kitchen. Using pH strips (inexpensive online), test lemon juice, vinegar, tap water, saliva, baking soda solution, and dish soap. Place each on the scale in Figure 2.4. Then test your saliva before and five minutes after eating something sweet, and explain what changed.
- Denature a protein three ways. Take three portions of egg white. Heat one, add vinegar to the second, and add rubbing alcohol to the third. All three should turn opaque and solid. Explain what each agent disrupted, and state what was not disrupted in any of them.
- Read a real label as chemistry. Take any packaged food and locate total fat, saturated fat, trans fat, total carbohydrate, sugars, fibre, and protein. Calculate the calories from each using 9 kcal/g for fat and 4 for carbohydrate and protein, and check your total against the printed one. Then explain why fibre is listed under carbohydrate but contributes almost no calories.
- Reproduce Amara's arithmetic. Using her values, calculate (a) her anion gap, (b) her calculated osmolality, (c) her LDL by the Friedewald equation, (d) her estimated average glucose from HbA1c, and (e) her pH from Henderson–Hasselbalch. Check each against the chapter. Doing this once by hand is worth more than reading it three times.
Key Terms
acid · A proton (H⁺) donor. Strong acids dissociate completely; weak acids dissociate partially and reversibly, which is what allows them to buffer.
activation energy · The energy barrier a reaction must cross to proceed; enzymes lower it without changing the reaction's overall energy change.
amphipathic · Having both a hydrophilic and a hydrophobic region; the property that makes phospholipids, bile salts, and lipoproteins self-assemble in water.
anion gap · Na⁺ − (Cl⁻ + HCO₃⁻); the concentration of unmeasured plasma anions, normally 8–12 mEq/L. Widens when an unmeasured acid accumulates.
ATP (adenosine triphosphate) · A nucleotide whose terminal phosphoanhydride bond releases about 7.3 kcal/mol on hydrolysis; the universal energy currency, circulated rather than stored.
base · A proton acceptor.
buffer · A weak acid and its conjugate base together, resisting change in pH.
bicarbonate buffer system · CO₂ + H₂O ⇌ H₂CO₃ ⇌ H⁺ + HCO₃⁻; the dominant extracellular buffer, open at both ends — the lungs set PCO₂ in seconds, the kidneys set HCO₃⁻ over days.
carbohydrate · A molecule of general formula (CH₂O)ₙ; fuel and, as the glycocalyx, cellular identification.
catalyst · A substance that accelerates a reaction without being consumed.
cholesterol · A four-ring steroid; membrane fluidity buffer and the precursor of all steroid hormones, bile salts, and vitamin D.
covalent bond · A bond formed by shared electrons; nonpolar when ΔEN < 0.4, polar when ΔEN is 0.4–1.8.
dehydration synthesis · Joining two monomers by removing water; the reaction that builds every macromolecule.
denaturation · Loss of a protein's secondary, tertiary, and quaternary structure — and therefore of its function — without breaking peptide bonds.
electrolyte · A substance that dissociates into ions in water and conducts current.
electronegativity · An atom's pull on shared electrons; the single variable that determines bond type.
enzyme · A biological catalyst, usually a protein, that lowers activation energy through shape-specific binding at its active site.
glycation · Non-enzymatic, unregulated attachment of sugar to a protein's amino group; rate depends only on glucose concentration and time. The basis of HbA1c and of AGEs.
glycogen · The branched storage polysaccharide of animals; branching permits mobilization at many points simultaneously.
HDL · High-density lipoprotein, bearing apoA-I; performs reverse cholesterol transport from tissues to liver.
hemoglobin A1c · The fraction of hemoglobin bearing a glucose adduct; integrates glucose exposure over the ~120-day red cell lifespan.
hydrogen bond · Attraction between a δ+ hydrogen bonded to O, N, or F and a nearby δ− O, N, or F; about one twentieth of covalent strength, and the mechanism of biological specificity.
hydrolysis · Splitting a bond by inserting water; the reaction of all digestion.
hydrophobic effect · The entropically driven clustering of nonpolar groups in water; drives membrane and protein folding without any enzyme.
ion · An atom or molecule bearing a net charge; a cation is positive, an anion negative.
ionic bond · Electrostatic attraction between ions formed by outright electron transfer (ΔEN > 1.8).
isotope · An atom with the same proton number but a different neutron number; chemically identical to its siblings.
LDL · Low-density lipoprotein, bearing apoB-100; delivers cholesterol to peripheral tissue and is the atherogenic particle. Usually calculated, not measured.
lipid · A molecule defined by insolubility in water; includes triglycerides, phospholipids, and steroids.
milliequivalent (mEq) · One millimole of charge; mEq/L = mmol/L × valence.
nucleotide · Sugar + phosphate + nitrogenous base; the monomer of DNA and RNA and the building block of ATP, NAD⁺, FAD, and cyclic AMP.
osmolality · Osmoles of dissolved particles per kilogram of water; normally 275–295 mOsm/kg in plasma.
pH · −log₁₀[H⁺]; arterial blood is defended at 7.35–7.45, or 35–45 nmol/L.
phospholipid · An amphipathic lipid with a polar head and two nonpolar tails; assembles spontaneously into bilayers.
polar molecule · A molecule with an uneven charge distribution, producing partial charges; water is the archetype.
protein · A polymer of amino acids joined by peptide bonds; the most functionally diverse class of biological molecule.
radioisotope · An isotope with an unstable nucleus that decays, emitting alpha, beta, or gamma radiation; used for imaging when gamma-emitting and for therapy when beta- or alpha-emitting.
solution · A homogeneous mixture of solute dissolved in solvent.
triglyceride · Glycerol esterified to three fatty acids; the body's dense, anhydrous energy store at 9 kcal/g.
troponin · A three-subunit protein complex regulating contraction inside striated muscle cells; its cardiac isoforms differ in primary sequence, which is what makes a cardiac-specific blood assay possible.
valence · The number of electrons in an atom's outermost shell; predicts how many bonds the atom forms.
Next: Chapter 3 · Cells — where the troponin in Amara's plasma is traced back to the inside of the cardiac muscle cells it escaped from, and where the membrane that was supposed to keep it there is built molecule by molecule.