PK vs PD: complementary sciences

Pharmacokinetics (PK) — covered in our pharmacokinetics basics guide — describes drug concentration over time: how fast a drug is absorbed, how widely it distributes, how quickly it is metabolised and excreted.

Pharmacodynamics (PD) describes the relationship between drug concentration and pharmacological effect. The integrated PK/PD model links these two:

Dose → [PK: ADME] → Drug concentration (C) → [PD: receptor binding] → Effect (E)

The standard PD equation relating concentration to effect is the Emax model (Hill equation):

E = Emax × Cn / (EC50n + Cn)

Where Emax = maximum effect, EC50 = concentration at half-maximum effect, n = Hill coefficient (sigmoidicity). When n = 1, the equation simplifies to the standard hyperbolic curve.

The Emax model (also called the Emax pharmacology model or Hill equation) is the most widely used mathematical framework for describing concentration-response relationships in pharmacodynamics. The Emax pharmacology model characterises four critical parameters: E0 (baseline effect), Emax (maximum achievable effect above baseline), EC50 (the drug concentration producing 50% of Emax — a measure of potency), and the Hill coefficient n (which controls the steepness or sigmoidicity of the curve). When n = 1, the curve is a rectangular hyperbola (classic Michaelis-Menten shape); when n > 1, the curve becomes sigmoidal, reflecting cooperative binding or switch-like responses. The Emax model is used extensively in PK/PD modelling for dose optimisation, particularly in antimicrobial stewardship (linking AUC/MIC to bacterial kill), oncology (exposure-response modelling for targeted therapies), and anaesthesiology (concentration-effect relationships for propofol and opioids). The NCBI StatPearls pharmacodynamics chapter and the FDA exposure-response modelling resources provide detailed mathematical treatments. See also PubChem for compound-specific pharmacodynamic data.

Understanding pharmacodynamics principles is essential for rational drug therapy. The dose-response curve — plotting drug concentration (or dose) on the x-axis against pharmacological effect on the y-axis — reveals key properties of every drug: potency (EC50 position), efficacy (Emax plateau), and the therapeutic window between minimum effective concentration and minimum toxic concentration. Pharmacodynamics principles underpin therapeutic drug monitoring decisions (where target concentrations are derived from concentration-effect relationships), drug interaction predictions (pharmacodynamic interactions produce additive, synergistic, or antagonistic effects), and the design of clinical trials (dose-finding studies use Emax modelling to identify optimal dosing). The EMA clinical pharmacology guidelines describe regulatory expectations for PD characterisation in drug development.

Drug receptor superfamilies

GPCRs

Mechanism

G protein activation → cAMP, IP3/DAG, or ion channel modulation

Examples

β-adrenoceptors (salbutamol, metoprolol), μ-opioid (morphine, buprenorphine), H1 (cetirizine), dopamine D2 (haloperidol)

Ligand-gated ion channels

Mechanism

Direct ion flux on agonist binding (fast, ms timescale)

Examples

GABA-A (benzodiazepines, propofol), nAChR (neuromuscular blockers), NMDA (ketamine)

Receptor tyrosine kinases

Mechanism

Autophosphorylation → intracellular signalling cascades (RAS-MAPK, PI3K-AKT)

Examples

EGFR (erlotinib, gefitinib), HER2 (trastuzumab, lapatinib), insulin receptor

Nuclear receptors

Mechanism

Ligand binds intracellular receptor → translocates to nucleus → modulates transcription

Examples

GR (corticosteroids), ER (tamoxifen, fulvestrant), AR (enzalutamide), PPARγ (pioglitazone)

Enzyme targets

Mechanism

Competitive or irreversible enzyme inhibition

Examples

ACE (lisinopril), COX-1/2 (ibuprofen, aspirin), DPP-4 (sitagliptin), HMG-CoA reductase (atorvastatin)

Ion channel blockers

Mechanism

State-dependent or frequency-dependent channel blockade

Examples

Na+ channels (lidocaine, phenytoin), Ca2+ channels (amlodipine, verapamil), K+ channels (amiodarone)

Full receptor database: IUPHAR/BPS Guide to Pharmacology ↗.

Agonists, antagonists, and partial agonists

Drug type Intrinsic efficacy Effect Example
Full agonist High (1.0) Produces maximum effect Morphine (μ-opioid), salbutamol (β2), fentanyl (μ-opioid)
Partial agonist Intermediate (0.1–0.9) Sub-maximal effect even at full receptor occupancy Buprenorphine (μ-opioid), buspirone (5-HT1A)
Competitive antagonist 0 Blocks agonist binding; effect reversible with high agonist Naloxone (μ-opioid), metoprolol (β1), cetirizine (H1)
Irreversible antagonist 0 Permanent receptor inactivation until new receptor synthesis Aspirin (COX-1/2; irreversible acetylation)
Inverse agonist Negative Reduces basal receptor activity below constitutive level Some antihistamines at H1 (cetirizine has partial inverse agonism)

Frequently asked questions

What is pharmacodynamics and how does it differ from pharmacokinetics?
Pharmacodynamics (PD) describes what a drug does to the body: receptor binding, signal transduction, downstream biological effects, and dose-response relationships. Pharmacokinetics (PK) describes what the body does to the drug: absorption, distribution, metabolism (via CYP enzymes), and elimination. PK determines drug concentrations at the effect site; PD translates those concentrations into biological responses. The integrated PK/PD framework — particularly PK/PD indices for antibiotics (see time above MIC) — underpins modern dosing optimisation. Reference: NCBI StatPearls: pharmacodynamics ↗.
What are the main types of drug receptors?
Drug receptor superfamilies: GPCRs (largest family; β-adrenoceptors for beta-blockers, μ-opioid receptors for opioids — see opioid guide, H1/H2 histamine receptors — see drug allergy guide); Ligand-gated ion channels (GABA-A for benzodiazepines; nAChR for neuromuscular blockers); Receptor tyrosine kinases (insulin receptor, EGFR for gefitinib/erlotinib); Nuclear receptors (glucocorticoid receptor for corticosteroids, oestrogen receptor for tamoxifen/aromatase inhibitors). Additionally: enzyme targets (ACE for enalapril, COX-1/2 for NSAIDs — see OTC safety guide); ion channel blockers (sodium channels for local anaesthetics, calcium channels for amlodipine). IUPHAR/BPS Guide to Pharmacology ↗ is the authoritative receptor database.
What is the difference between potency and efficacy?
Potency = EC50 — the concentration producing 50% of maximal effect. More potent drugs require lower concentrations. Efficacy (Emax) = the maximum effect achievable regardless of concentration or dose. A full agonist (e.g. morphine at μ-opioid receptor) achieves high Emax; a partial agonist (buprenorphine at μ-receptor) has lower Emax even at full receptor occupancy — this is the basis of buprenorphine's ceiling effect on respiratory depression. An inverse agonist produces the opposite effect to the natural ligand. Potency ≠ efficacy: methadone is less potent (higher dose needed) than fentanyl, but both are full μ-agonists with similar efficacy. The dose-response curve is described by the Hill equation: E = Emax × C^n / (EC50^n + C^n). See NCBI pharmacodynamics ↗.
What is the therapeutic index and how does it affect drug safety?
The therapeutic window is the concentration range between the minimum effective concentration (MEC) and the minimum toxic concentration (MTC). The therapeutic index (TI) = TD50/ED50. Narrow TI drugs require therapeutic drug monitoring (TDM) because small dose changes cause large concentration changes that can shift from subtherapeutic to toxic: warfarin (target INR 2–3; Beers Criteria interaction risks — see anticoagulant guide), digoxin (target 0.5–0.9 ng/mL in HFrEF; toxicity at >2 ng/mL), lithium (target 0.6–1.0 mmol/L; toxicity >1.5 mmol/L), phenytoin (Michaelis-Menten kinetics — see MM kinetics), aminoglycosides and vancomycin (two-compartment PK). The narrow therapeutic index glossary entry covers this in depth.
What is the Emax model in pharmacology?
The Emax model in pharmacology (Hill equation) describes concentration-response: E = E0 + (Emax × Cn) / (EC50n + Cn). E0 = baseline effect; Emax = maximum achievable effect; EC50 = concentration at 50% of Emax (potency); n = Hill coefficient (curve steepness). When n = 1: rectangular hyperbola; n > 1: sigmoidal (cooperative binding). Applications: antimicrobial PK/PD (AUC/MIC vs bacterial kill — see stewardship guide), oncology exposure-response, anaesthesiology concentration-effect, and cardiovascular dose-response. The Emax model distinguishes potency (EC50 — position on x-axis) from efficacy (Emax — plateau height): a partial agonist like buprenorphine has lower Emax than morphine despite similar binding affinity. Reference: NCBI StatPearls pharmacodynamics ↗ and EMA clinical pharmacology guidelines ↗.
What is tachyphylaxis and tolerance, and why do they occur?
Tachyphylaxis (rapid, short-term tolerance) occurs with: beta-agonists (β2-receptor downregulation with continuous use — important in asthma management), decongestants (nasal OTC oxymetazoline: rebound congestion after 3–5 days), and nitrates (continuous infusion leads to nitrate tolerance within 24 hours — solved by nitrate-free intervals). Long-term tolerance occurs with: opioids (receptor desensitisation + endogenous opioid system adaptation — see opioid safety guide), benzodiazepines (GABA-A receptor subunit remodelling), and alcohol. Metabolic tolerance: some drugs (ethanol, phenobarbital) induce their own CYP metabolism via enzyme induction, reducing plasma concentrations over time. NCBI pharmacodynamics reference ↗.