Pharmacokinetics — ADME, Half-Life, Dosing Formulas, Kinetics and CYP450

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Quick Answer

Pharmacokinetics is what the body does to a drug: absorption, distribution, metabolism and excretion (ADME). Four numbers summarise it — bioavailability, volume of distribution, clearance and half-life, linked by t½ = 0.693 × Vd / CL. Steady state takes about 4–5 half-lives; a loading dose (Vd × target concentration ÷ F) gets there at once.

What is pharmacokinetics and what does ADME stand for?

Pharmacokinetics describes how the body handles a drug over the whole period of exposure; pharmacodynamics is the reverse — what the drug does to the body. Pharmacokinetics is organised around four processes, remembered as ADME: Absorption, Distribution, Metabolism and Excretion.

  • Absorption — movement from the site of administration (tablet, injection, patch) into the systemic circulation. Its end result is bioavailability.
  • Distribution — spread from plasma into tissues, captured by the volume of distribution (Vd) and modified by protein binding.
  • Metabolism — chemical change, mainly in the liver by phase I (CYP450) and phase II (conjugation) reactions, usually making the drug more water-soluble.
  • Excretion — removal, mostly by the kidneys (filtration, tubular secretion, reabsorption), summarised by clearance.
Pharmacokinetics: How Drugs Move Through the BodyA clear overview of absorption, distribution, metabolism and excretion before the formulas.Video: Professor Dave Explains · 7:55 · Watch on YouTube · Loads from YouTube (privacy-enhanced mode) only when you press play.
pKa and Drug Solubility: Absorption and Distribution – Pharmacokinetics (PK) | LecturioHow ionisation (pKa versus pH) decides whether a drug crosses membranes — the basis of absorption and of urine pH manipulation.Video: Lecturio Medical · 5:41 · Watch on YouTube · Loads from YouTube (privacy-enhanced mode) only when you press play.

What is bioavailability and how does the first-pass effect reduce it?

Bioavailability (F) is the fraction of an administered dose that reaches the systemic circulation unchanged. An intravenous dose reaches the circulation completely and almost instantly, so IV bioavailability is 100% (F = 1) — the reference against which every other route is measured.

F = AUC (route X) ÷ AUC (intravenous)

AUC = area under the plasma concentration–time curve. F ranges from 0 to 1 and is often quoted as a percentage.

An oral drug must survive stomach acid, gut enzymes and the gut wall, then pass through the portal vein and liver before it reaches the systemic circulation. Metabolism along this route is the first-pass effect. It happens mainly in the liver but also in the gut wall, lungs and vasculature, and it varies between patients.

First-pass effect — examples from StatPearls
SituationExampleConsequence
High first-pass metabolismMorphine, pentazocine, alprenolol, 5-fluorouracil, mercaptopurineOral dose must be much larger than the IV dose
Sublingual route bypasses the liverGlyceryl trinitrate (nitroglycerin)Rapid relief of angina
Minimal first-pass metabolismIsosorbide mononitrateHigh oral bioavailability, but onset too slow for acute angina
Rectal route partly bypasses the liverRectal diazepam in febrile seizuresRapid anticonvulsant effect
Blocking first-pass metabolism deliberatelyDextromethorphan + low-dose quinidine (CYP2D6 inhibitor)Higher systemic levels; used for pseudobulbar affect
Graph of plasma concentration against time: a red intravenous curve starts high and falls steadily, while a blue oral curve rises to a peak at about 4 hours and then falls; the area under each curve is shaded.
Bioavailability compares areas under the curve: F = AUC after the oral dose divided by AUC after the same intravenous dose. An IV dose is 100% available by definition.Image: Alfie↑↓©, CC0

What does the volume of distribution tell you about a drug?

The volume of distribution (Vd) is the amount of drug in the body divided by its plasma concentration. It is an apparent volume — the fluid volume that would be needed to hold all the drug at the plasma concentration — not a real anatomical space.

Vd = amount of drug in body ÷ plasma concentration (after an IV bolus: Vd = dose ÷ C₀)

Usually expressed per kilogram (L/kg).

Interpreting Vd (StatPearls — Clinical Significance of Volume of Distribution)
VdWhere the drug isExamplesPractical point
Low (below about 0.6 L/kg)Mostly confined to plasma or extracellular fluidWarfarin (about 0.14 L/kg, about 99% protein bound)A smaller dose gives a given plasma level
High (above about 5 L/kg)Extensively in tissues, fat or muscleAmiodarone (about 66 L/kg), chloroquine (well over 100 L/kg)Long half-life; poorly removed by haemodialysis
  • Large, charged or highly protein-bound molecules stay inside the vessels → low Vd.
  • Small, lipophilic molecules enter cells and fat → very high Vd.
  • At a constant clearance, a higher Vd means a longer half-life, because most of the drug sits outside the plasma where it cannot be cleared.
  • Haemodialysis removes drugs with a small Vd and low protein binding (gentamicin, lithium) but not drugs with a large Vd (amiodarone, digoxin).
  • Children have proportionately more body water, so water-soluble drugs need higher doses per kilogram.

Why does plasma protein binding matter?

Only the free (unbound) drug can act on receptors, cross into other compartments or be eliminated. The main drug-binding proteins are albumin and alpha-1 acid glycoprotein, whose levels change with age, nutrition, and liver or kidney disease.

  • Displacement interactions — aspirin and warfarin compete for the same binding site, raising the free fraction and the bleeding risk.
  • Hypoalbuminaemia (malnutrition, inflammation, cirrhosis) increases the free fraction — a highly bound drug such as warfarin can have an enhanced effect at a 'normal' total level.
  • Uraemia reduces the binding of acidic drugs such as diazepam, so more free drug reaches the brain (risk of respiratory depression).
  • Protein binding changes matter clinically mainly when a drug is more than 90% protein bound.
  • A large bound reserve can act as a sustained-release depot, prolonging drug effect.

How are clearance and half-life related?

Clearance (CL) is the volume of plasma cleared of drug per unit time — formally, the rate of elimination divided by the plasma concentration. Half-life (t½) is the time for the plasma concentration to fall by 50%. In first-order kinetics the two are tied together by the volume of distribution.

t½ = 0.693 × Vd ÷ CL (equivalently t½ = 0.693 ÷ k, where k is the elimination rate constant)

0.693 is the natural logarithm of 2. Half-life rises with Vd and falls with clearance.

CL = rate of elimination ÷ plasma concentration

How much drug is left after a single dose (first-order elimination)
Half-lives elapsedDrug eliminatedDrug remaining
150%50%
275%25%
387.5%12.5%
About 3.3About 90%About 10%
493.75%6.25%
5About 97%About 3%

StatPearls states that 94–97% of a drug is eliminated after 4–5 half-lives, at which point it is considered effectively gone. Its worked example: morphine with a half-life of about 120 minutes is negligible 8–10 hours after a dose. Renal failure lowers clearance and hepatic disease slows metabolism, so both prolong the half-life.

Plasma concentration-time graph over 96 hours with an oral dose every 24 hours, showing a peak after each dose, the half-life marked on the falling limb of the first dose, and shaded areas under the curve.
A concentration-time curve with repeated doses. After each peak the level falls by half every half-life; the shaded areas are the AUC, used for bioavailability and clearance calculations.Image: Helmut Schütz, CC BY 3.0

How long does steady state take, and how are loading and maintenance doses calculated?

With regular dosing or a constant infusion, a drug accumulates until the rate in equals the rate out. This plateau is the steady state, reached after about 4–5 half-lives (the Loading Dose chapter of StatPearls quotes 5–7). The steady-state level depends on the dose, dosing interval and clearance — not on the loading dose.

Loading dose = Vd × target concentration ÷ F

If the drug is given as a salt, also divide by the salt fraction (S). For IV drugs F = 1.

Maintenance dose = target concentration × CL × dosing interval ÷ F

For a continuous infusion: infusion rate = CL × target steady-state concentration.

  • A loading dose gives the target concentration immediately instead of waiting 4–5 half-lives — useful for drugs with long half-lives or urgent situations.
  • Examples in StatPearls: vancomycin in severe infection, levetiracetam in status epilepticus, amiodarone and digoxin (sometimes split over hours to days), phenytoin (given IV as a single loading dose), heparin for pulmonary embolism.
  • A common error is continuing the loading dose after transfer between wards instead of switching to the maintenance dose.
Sawtooth graph of drug concentration over time with a dose given at regular intervals; each peak and trough is higher than the last until they level off, labelled steady state.
Repeated dosing builds the level up until the amount eliminated per interval equals the dose - steady state, reached after about 4-5 half-lives whatever the dose size.Image: タバコはマーダー, CC BY-SA 3.0

What is the difference between first-order and zero-order kinetics?

First-order vs zero-order elimination
FeatureFirst-order (linear)Zero-order (saturation)
What is eliminated per unit timeA constant fractionA constant amount
Elimination rate vs concentrationProportionalIndependent of concentration
Half-lifeConstant, whatever the doseNot constant — depends on the starting concentration
Concentration–time curveExponential declineLinear decline
Dose vs steady-state levelProportionalDisproportionate — a small dose rise can cause toxicity
MechanismEnzymes and transporters below capacityEnzymes or transporters saturated
ExamplesMost drugs at therapeutic dosesEthanol, phenytoin, high-dose salicylates (aspirin); theophylline is also nonlinear

Phenytoin is the classic exam drug. Below about 10 mg/L its elimination is first-order; above that the liver enzymes saturate and elimination becomes zero-order, so a small dose increase can push levels into the toxic range. Its usual half-life of about 22 hours becomes much longer in overdose. Toxicity follows the level: nystagmus first (about 10–30 mg/L), then ataxia and slurred speech (30–40 mg/L), lethargy and confusion (40–50 mg/L), and coma or seizures above 50 mg/L.

Salicylates follow first-order kinetics below about 1.4 mmol/L and become zero-order above it. Ethanol is metabolised by alcohol dehydrogenase, which saturates even at moderate blood levels, so it is removed at a constant rate. For methanol (zero-order at higher doses), the time since ingestion matters more than the dose when deciding on fomepizole or ethanol.

What happens in phase I and phase II drug metabolism?

Lipophilic drugs are filtered by the kidney but then diffuse back across the tubule, so they must first be made more polar. The liver does this in two stages.

Phase I vs phase II reactions
FeaturePhase I (modification)Phase II (conjugation)
ReactionsOxidation (commonest), reduction, hydrolysisGlucuronidation, sulphation, acetylation, methylation, glutathione and glycine conjugation
Main enzymesCytochrome P450 (microsomal mixed-function oxidases)UDP-glucuronosyltransferases, sulphotransferases, glutathione S-transferases
ProductOften still active (or a prodrug becomes active)Usually inactive and water-soluble
ExampleDiazepam → desmethyldiazepam → oxazepam (all active)Oxazepam → oxazepam glucuronide (inactive, excreted)
  • Drugs that already carry a polar group can skip phase I and go straight to phase II.
  • A prodrug needs metabolism to become active — codeine is converted to morphine by CYP2D6. Poor metabolisers get little pain relief; ultrarapid metabolisers can develop dangerous respiratory depression.
  • Some texts add a phase III — transporters pumping conjugates out of cells.
  • Metabolism slows with age, and genetic polymorphisms make people poor, intermediate, normal or ultrarapid metabolisers.

Which drugs induce or inhibit cytochrome P450 enzymes?

CYP enzymes handle an estimated 80–90% of enzymatic drug metabolism, and about six isoforms do most of the work: CYP1A2, 2C9, 2C19, 2D6, 2E1 and 3A4. An inducer speeds up metabolism of other drugs on that pathway (risk: treatment failure); an inhibitor slows it (risk: accumulation and toxicity). The direction reverses for prodrugs that need activation.

High-yield inducers and inhibitors (selection from StatPearls — Biochemistry, Cytochrome P450, 2026)
IsoformInducersInhibitorsTypical substrates
CYP3A4Rifampin, carbamazepine, phenytoin, phenobarbital, griseofulvin, St John's wortKetoconazole, clarithromycin, ritonavir, cimetidine, ciprofloxacin, amiodarone, verapamil, grapefruit juiceCyclosporine, tacrolimus, statins, warfarin, sildenafil, many anticancer drugs
CYP2C9Rifampin, carbamazepine, phenytoin, phenobarbitalFluconazole, amiodarone, metronidazole, fluoxetine, co-trimoxazoleLosartan, glipizide, celecoxib, ibuprofen
CYP2C19Rifampin, carbamazepine, phenytoinIsoniazid, fluvoxamine, ritonavirOmeprazole
CYP2D6None listedQuinidine, fluoxetine, paroxetine, bupropion, terbinafineCodeine, tramadol, metoprolol, tamoxifen, haloperidol
CYP1A2Tobacco smoking, rifampin, carbamazepineCiprofloxacin, cimetidine, fluvoxamine, amiodaroneTheophylline, caffeine, clozapine
CYP2E1Ethanol, isoniazid, tobaccoNone listedParacetamol (acetaminophen)
  • Rifampin + imatinib → imatinib levels fall (CYP3A4 induction) and anticancer effect drops.
  • Grapefruit juice inhibits intestinal CYP3A4 (naringin), raising levels of CYP3A4 substrates even in small amounts.
  • Smokers metabolise caffeine and theophylline faster (nicotine/tobacco induces CYP1A2).

How are drugs excreted by the kidney, and how does urine pH change excretion?

The kidney removes drugs by glomerular filtration and active tubular secretion (organic anion and cation transporters), opposed by passive tubular reabsorption of the un-ionised, lipid-soluble form. Some drugs are also excreted in bile, by the lungs or through the skin.

Changing urine pH changes how much of a weak acid or base is ionised in the tubule. The ionised form cannot diffuse back, so it is 'trapped' in the urine and excreted — ion trapping.

Urine pH manipulation
Drug typeUrine change that increases excretionExamples
Weak acidAlkalinise the urine (sodium bicarbonate)Salicylates — alkalinising urine to pH 7.5–8.0 raises salicylate excretion more than 10-fold
Weak baseAcidify the urineAmphetamine, methamphetamine, pethidine, mexiletine — excretion rises many-fold in acidic urine

How is pharmacokinetics asked in NEET PG and INI-CET?

  • Calculations — given Vd and target level, find the loading dose; given CL, find the maintenance dose; given Vd and CL, find t½.
  • Time to steady state — 4–5 half-lives; unaffected by dose size.
  • Zero-order drugs — phenytoin, ethanol, high-dose aspirin; 'constant amount eliminated per unit time'.
  • Loading dose depends on → Vd; maintenance dose depends on → clearance.
  • CYP450 interactions — rifampin lowering levels of CYP3A4 substrates such as imatinib, ketoconazole or clarithromycin with CYP3A4 substrates, smoking and theophylline.
  • Prodrugs and polymorphism — codeine and CYP2D6.
  • Ion trapping — alkalinise the urine for aspirin (weak acid) poisoning.

For past papers see the NEET PG pharmacology PYQs and INI-CET PYQs. Applied examples appear in anti-diabetic drugs, antipsychotics and corticosteroids.

Frequently asked questions

What is the formula for half-life?
Half-life equals 0.693 multiplied by the volume of distribution, divided by clearance. It can also be written as 0.693 divided by the elimination rate constant k. Because 0.693 is the natural log of 2, the formula only holds for first-order kinetics. Half-life increases when Vd rises and decreases when clearance rises, so renal or hepatic failure usually prolongs it.
How many half-lives does it take to reach steady state?
About four to five half-lives with regular dosing or a constant infusion, when the rate of administration equals the rate of elimination. After four to five half-lives a drug is also considered almost completely eliminated, with 94 to 97 percent gone. Changing the dose changes the steady-state level for first-order drugs but not the time taken to reach it.
What determines the loading dose and the maintenance dose?
The loading dose depends on the volume of distribution: loading dose equals Vd times the target concentration divided by bioavailability. The maintenance dose depends on clearance: maintenance dose equals target concentration times clearance times the dosing interval, divided by bioavailability. A loading dose reaches the target quickly but does not alter the final steady-state level.
Which drugs follow zero-order kinetics?
Ethanol, phenytoin and salicylates at high doses are the classic examples; theophylline and some chemotherapy drugs can also behave nonlinearly. In zero-order kinetics the elimination enzymes are saturated, so a constant amount rather than a constant fraction is removed per unit time. Half-life is not constant and small dose increases can produce large, toxic rises in plasma level.
What does a high volume of distribution mean?
A high Vd, above about 5 litres per kilogram, means the drug has left the plasma and is concentrated in tissues, fat or muscle, as with amiodarone and chloroquine. Such drugs have long half-lives at a given clearance and are poorly removed by haemodialysis. A low Vd, below about 0.6 litres per kilogram, means the drug stays largely in plasma, as with warfarin.
What is the first-pass effect?
The first-pass effect is metabolism of an orally absorbed drug in the gut wall and liver before it reaches the systemic circulation, which lowers its bioavailability. Morphine, pentazocine and 5-fluorouracil are examples needing much larger oral than intravenous doses. Intravenous dosing has no first pass, and sublingual glyceryl trinitrate bypasses it, which is why it relieves angina quickly.
Which are the most important CYP450 inducers and inhibitors?
Important inducers are rifampin, carbamazepine, phenytoin, phenobarbital, griseofulvin, St John's wort and tobacco smoke. Important inhibitors include ketoconazole and fluconazole, clarithromycin, ritonavir, cimetidine, ciprofloxacin, isoniazid, amiodarone and grapefruit juice. Inducers lower levels of co-administered substrates and risk treatment failure, while inhibitors raise levels and risk toxicity.
Why is the urine alkalinised in aspirin poisoning?
Salicylate is a weak acid. In alkaline urine more of it is ionised, and the ionised form cannot diffuse back across the tubule, so it is trapped and excreted. Raising urine pH to 7.5 to 8.0 increases salicylate excretion more than tenfold. Weak bases such as amphetamine behave the opposite way and are excreted faster in acidic urine.

Sources

  1. StatPearls — Pharmacokinetics (NCBI Bookshelf)
  2. StatPearls — Elimination Half-Life of Drugs (NCBI Bookshelf, updated 2025)
  3. StatPearls — Steady State Concentration (NCBI Bookshelf)
  4. StatPearls — Loading Dose (NCBI Bookshelf)
  5. StatPearls — Physiology, Zero- and First-Order Kinetics (NCBI Bookshelf, updated 2026)
  6. StatPearls — Clinical Significance of Volume of Distribution in Pharmacotherapy (NCBI Bookshelf)
  7. StatPearls — Drug Distribution (NCBI Bookshelf)
  8. StatPearls — Drug Bioavailability (NCBI Bookshelf)
  9. StatPearls — First-Pass Effect (NCBI Bookshelf)
  10. StatPearls — Drug Metabolism (NCBI Bookshelf)
  11. StatPearls — Biochemistry, Cytochrome P450 (NCBI Bookshelf, updated 2026)
  12. StatPearls — Phenytoin (NCBI Bookshelf)
  13. Guidance Document: Management Priorities in Salicylate Toxicity. J Med Toxicol 2015 (PMC4371029)
  14. Mechanistic PBPK Modeling of Urine pH Effect on Renal and Systemic Disposition of Methamphetamine and Amphetamine (PMC7250368)

For exam preparation and education only — not a substitute for clinical judgement or local guidelines. How we write and review these pages: editorial policy.

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