Pharmacokinetics: ADME
What the body does to the drug: absorption, distribution, metabolism, excretion
Absorption and bioavailability
Pharmacokinetics vs pharmacodynamics. Pharmacokinetics (PK) is what the body does to a drug: Absorption, Distribution, Metabolism, and Excretion (ADME). Pharmacodynamics is what the drug does to the body. PK sets the concentration-time profile that drives the drug's effect.
Bioavailability (F). The fraction of an administered dose that reaches the systemic circulation unchanged. IV drug has F = 1 (100%) by definition. Oral F is lower because of incomplete absorption and first-pass metabolism, so F is used to scale oral doses (oral dose = IV-equivalent dose / F).
First-pass effect. Drug absorbed from the gut travels through the portal vein to the liver and is partly metabolized before it reaches the systemic circulation. Drugs with high first-pass metabolism need much larger oral than IV doses. Routes that avoid it: IV, sublingual (nitroglycerin acts fast because it skips hepatic first pass), transdermal, inhaled, and partly rectal.
Crossing membranes. Most drugs are absorbed by passive diffusion of the nonionized, lipid-soluble form. How much of a weak acid or base is nonionized depends on its pKa relative to local pH (Henderson-Hasselbalch): weak acids are nonionized in acidic surroundings, weak bases in alkaline ones.
Distribution: volume of distribution
Vd. Vd = amount of drug in the body / plasma concentration (Cp). It is an apparent volume, a proportionality constant rather than a real space, and it can far exceed total body water when a drug is sequestered in tissue.
| Vd | Where the drug stays | Drug properties | Example |
|---|---|---|---|
| Low (~3 L, near the plasma volume) | Plasma | Large, charged, or highly plasma protein-bound | Heparin |
| Medium | Extracellular fluid | Small, hydrophilic | Aminoglycosides |
| High | Tissues, including fat | Small, lipophilic, tissue-bound | Amiodarone |
Protein binding. Only free (unbound) drug distributes, acts, and is filtered. Hypoalbuminemia (liver disease, nephrotic syndrome) raises the free fraction of highly protein-bound drugs and increases their Vd.
Metabolism, clearance, and half-life
Hepatic metabolism. Makes lipophilic drugs polar enough to excrete. Phase I (oxidation, reduction, hydrolysis, largely by cytochrome P450) gives slightly polar metabolites that may remain active; phase II (glucuronidation, acetylation, sulfation) gives very polar, usually inactive conjugates for renal excretion. Elderly patients lose phase I capacity first.
Renal excretion. Free drug is filtered at the glomerulus and some is actively secreted by the proximal tubule, while nonionized drug can be passively reabsorbed. Ion trapping exploits this: alkalinizing the urine with bicarbonate keeps weak acids (aspirin, phenobarbital) ionized and speeds their excretion; acidifying the urine (ammonium chloride) does the same for weak bases (amphetamines).
Clearance (CL). The volume of plasma cleared of drug per unit time: CL = rate of elimination / Cp = Vd × ke, where ke is the elimination rate constant. Total clearance is the sum of renal, hepatic, and other routes, and it falls in renal or hepatic failure, mandating lower maintenance doses.
Half-life. The time for concentration to fall by 50% under first-order kinetics: t1/2 = 0.693 × Vd / CL = 0.693 / ke (0.693 = ln 2). Half-life rises when Vd increases or clearance falls; halving clearance with Vd unchanged doubles it. Half-life alone sets both the time to steady state and the time to eliminate a drug.
Steady state and dosing
Steady state. With regular dosing or a constant infusion, concentration climbs until rate in = rate out. That takes 4–5 half-lives regardless of dose size or frequency: the dose sets the level reached, not the time to reach it (a drug with a 24-hour half-life needs about 4–5 days).
- 1 half-life50% of steady state
- 2 half-lives75%
- 3 half-lives87.5%
- 4–5 half-lives94–97% = steady state
Loading dose. Loading dose = target Cp × Vd / F. It fills the volume of distribution so the therapeutic level is reached at once, skipping the 4–5 half-life wait. Because it depends on Vd and not clearance, it is unchanged in renal or hepatic failure. Worked example: target 10 mg/L, Vd 50 L, oral F 0.5 → 10 × 50 / 0.5 = 1,000 mg.
Maintenance dose. Replaces what is eliminated. Dosing rate = target Cp × CL / F; dose per interval = Cp × CL × τ / F, where τ is the dosing interval. Because it tracks clearance, it must be reduced in renal or hepatic failure (smaller doses or longer intervals) to avoid accumulation and toxicity.
| Feature | Loading dose | Maintenance dose |
|---|---|---|
| Formula | Cp × Vd / F | Cp × CL × τ / F |
| Depends on | Volume of distribution | Clearance |
| Purpose | Fill the compartment quickly | Replace ongoing elimination |
| Renal or hepatic failure | Unchanged | Reduced |
First-order vs zero-order kinetics
First-order (linear) kinetics. A constant fraction of drug is eliminated per unit time, so the elimination rate is proportional to concentration. Most drugs behave this way, giving a constant half-life independent of dose; a plot of ln(Cp) vs time is a straight line.
Zero-order kinetics. A constant amount is eliminated per unit time because the metabolizing enzymes are saturated, so the rate is independent of concentration and there is no fixed half-life. Classic examples (PEA; a pea is round like a zero): Phenytoin (high dose), Ethanol, and Aspirin (high dose).
Dangerous nonlinearity. Once enzymes saturate, a small dose increase produces a disproportionate rise in plasma level and a prolonged effective half-life. Phenytoin shows it best: a modest dose change can push levels into toxicity, with nystagmus and then ataxia. Therapeutic drug monitoring guides dosing of these narrow-window agents.
| Feature | First-order | Zero-order |
|---|---|---|
| Eliminated per unit time | Constant fraction | Constant amount |
| Rate vs concentration | Proportional | Independent (enzymes saturated) |
| Half-life | Constant | Not constant; lengthens as level rises |
| Linear plot | ln(Cp) vs time | Cp vs time |
| Dose increase | Proportional rise in level | Disproportionate rise; toxicity |
| Examples | Most drugs | Phenytoin, ethanol, aspirin (high doses) |