Medical Pharmacology Question Bank
Chapter 2: Pharmacokinetics — Module 3: Metabolism and Excretion
Tier: Tier 2 — Conceptual Understanding
1. Drug clearance is best defined as which of the following?
ANSWER: B
Rationale:
Clearance is the pharmacokinetic parameter that quantifies the body's efficiency in eliminating a drug. It is defined as the volume of plasma from which drug is completely removed per unit time — it does not mean that a defined volume of plasma is literally cleaned out, but rather that the rate of drug elimination equals what would result from completely clearing that volume of drug-containing plasma per unit time. For a drug eliminated by both kidney and liver, total clearance = renal clearance + hepatic clearance + other clearance pathways. Clearance is related to half-life by: t½ = 0.693 × Vd / CL — a larger clearance produces a shorter half-life, and a larger volume of distribution produces a longer half-life.
2. A drug has a half-life of 12 hours. A patient starts taking it at a fixed dose once every 12 hours. Approximately how long will it take for plasma drug concentrations to reach steady state?
ANSWER: C
Rationale:
A fundamental pharmacokinetic principle is that the time to reach steady state depends exclusively on the drug's elimination half-life and is entirely independent of the dose size or the dosing interval. Plasma concentrations approach steady state according to a predictable pattern: approximately 50% after 1 half-life, 75% after 2 half-lives, 87.5% after 3 half-lives, 93.75% after 4 half-lives, and approximately 97% after 5 half-lives — the conventional criterion for considering steady state achieved. For a drug with a 12-hour half-life: 4-5 × 12 hours = 48-60 hours. This principle has a critical corollary: the time to reach a new steady state after any dose change (increase, decrease, or discontinuation) is also 4-5 half-lives. Option E contains the most important misconception to correct: doubling the dose does NOT halve the time to reach steady state — it only doubles the concentration at steady state while leaving the time unchanged.
3. Which of the following correctly describes first-order drug elimination kinetics?
ANSWER: B
Rationale:
First-order kinetics — also called linear kinetics — is the most common pattern of drug elimination. Its defining characteristic is that the rate of elimination is directly proportional to the drug concentration: as concentration doubles, the rate of elimination doubles. This produces several important consequences: (1) a constant fraction of drug is eliminated per unit time (rather than a constant amount); (2) the drug has a fixed, concentration-independent half-life; (3) doubling the dose doubles the steady-state plasma concentration; and (4) plasma concentration declines in an exponential (curved on linear scale, straight line on semi-logarithmic scale) pattern over time.
4. A drug is given as an intravenous bolus. The following plasma concentrations are measured: at 0 hours: 80 mg/L; at 6 hours: 40 mg/L; at 12 hours: 20 mg/L; at 18 hours: 10 mg/L. Which statement is correct?
ANSWER: B
Rationale:
The diagnostic test for first-order kinetics is whether plasma concentration decreases by a constant fraction (not a constant amount) per unit time. Examining the data: 80 → 40 (50% decrease in 6 hours), 40 → 20 (50% decrease in 6 hours), 20 → 10 (50% decrease in 6 hours). The concentration decreases by exactly half every 6 hours — the defining feature of first-order kinetics. The half-life is 6 hours. The absolute amount eliminated does decrease over time (40 → 20 → 10 mg/L per interval), but this is consistent with first-order kinetics because a fixed fraction of a decreasing amount produces a decreasing absolute amount. Options A and E make the common error of confusing decreasing absolute elimination rate with zero-order kinetics. Zero-order kinetics would show a constant absolute decrease per time interval (e.g., 80 → 40 → 0 at -40 mg/L per 6 hours).
5. Phenytoin is unusual among common antiepileptic drugs because it exhibits capacity-limited (Michaelis-Menten) elimination at therapeutic plasma concentrations. Which of the following best describes the clinical consequence of this kinetic behavior?
ANSWER: C
Rationale:
The Michaelis-Menten (capacity-limited) kinetics of phenytoin at therapeutic plasma concentrations is one of the most clinically important kinetic properties in all of pharmacology. At therapeutic phenytoin concentrations (10-20 mg/L), the CYP2C9 enzyme responsible for phenytoin's metabolism is operating near its maximum capacity (Vmax) — the enzyme is nearly saturated with substrate. When a drug's elimination system is saturated: (1) a small increase in dose produces a disproportionately large increase in steady-state plasma concentration; (2) the drug lacks a fixed half-life (half-life increases as concentration rises, making time to steady state unpredictable); (3) there is a maximum sustainable daily dose beyond which accumulation is unlimited. These properties make phenytoin dose adjustment uniquely dangerous — increments of more than 25-50 mg at a time can convert a therapeutic level to a toxic one. This is why phenytoin is managed with therapeutic drug monitoring and very small dose adjustments.
6. The three processes by which the kidney handles drug excretion are glomerular filtration, tubular secretion, and tubular reabsorption. For a drug with the following properties — fu (free fraction) = 0.40, GFR = 120 mL/min, and measured renal clearance = 250 mL/min — which renal handling mechanism must be operating?
ANSWER: C
Rationale:
This question demonstrates how comparing measured renal clearance to calculated filtration clearance reveals the mechanisms of renal drug handling. Glomerular filtration is passive and non-saturable — only the free (unbound) fraction of drug is filtered. Maximum filtration clearance = fu × GFR = 0.40 × 120 mL/min = 48 mL/min. If the measured renal clearance (250 mL/min) is substantially greater than the filtration clearance (48 mL/min), the difference must be accounted for by active tubular secretion: secretion clearance ≈ 250 - 48 = 202 mL/min. Active tubular secretion can clear even protein-bound drug — the high-affinity organic anion (OAT1, OAT3) or organic cation (OCT2, MATE) transporters pump drug from peritubular capillary blood into the tubular lumen, and as free drug is removed, bound drug rapidly dissociates from albumin to replace it.
7. A 78-year-old woman has a serum creatinine of 0.7 mg/dL — within the normal laboratory reference range. Her physician plans to use standard dosing for an aminoglycoside antibiotic. A clinical pharmacist raises a concern about potential toxicity. Which pharmacokinetic principle supports the pharmacist's concern?
ANSWER: B
Rationale:
Serum creatinine is an imperfect marker of renal function in elderly, low-body-weight patients because creatinine production is proportional to muscle mass (creatinine is generated by non-enzymatic degradation of muscle creatine phosphate). An elderly woman with sarcopenia produces less creatinine per day than a young, muscular adult — her serum creatinine is kept low not because her kidneys are efficient, but because very little creatinine is being produced. The Cockcroft-Gault equation corrects for this by incorporating age and body weight: CrCl = [(140 - age) × weight / (72 × serum creatinine)] × 0.85 (for women). For a 78-year-old woman weighing 45 kg with serum creatinine 0.7 mg/dL: CrCl = [(140-78) × 45 / (72 × 0.7)] × 0.85 = [62 × 45 / 50.4] × 0.85 = 47 mL/min — substantially below normal (120 mL/min) despite the apparently normal serum creatinine. Since aminoglycosides are 100% renally eliminated (fe = 1.0), this reduced CrCl means the aminoglycoside half-life is prolonged, accumulation is likely with standard dosing, and toxicity risk — both nephrotoxicity and ototoxicity — is substantially elevated.
8. At steady state, which of the following equations correctly describes the average steady-state plasma concentration of a drug given orally at regular intervals?
ANSWER: B
Rationale:
At steady state, the rate of drug administration into the systemic circulation equals the rate of drug elimination: Rate in = Rate out. Rate in = (F × Dose) / τ (the amount of drug reaching systemic circulation per dosing interval). Rate out = CL × Css_avg. Setting them equal: (F × Dose) / τ = CL × Css_avg. Solving for Css_avg: Css_avg = (F × Dose / τ) / CL. This equation reveals several important clinical principles: (1) steady-state concentration is directly proportional to dose and bioavailability — doubling the dose doubles Css_avg; (2) Css_avg is inversely proportional to clearance — if clearance falls by 50% (e.g., renal impairment for a renally cleared drug), Css_avg doubles at the same dose; (3) the dosing interval τ appears in the denominator — a shorter dosing interval increases Css_avg, and a longer interval decreases it (for the same total daily dose, divided doses produce higher Css_avg than less frequent dosing). Note that half-life and Vd do not directly appear in the Css_avg equation — they determine the time to reach steady state, not the level at steady state.
9. A patient with normal renal function takes drug X at a fixed dose twice daily. His physician reduces total daily dose by 50% for an unrelated reason. How does this dose reduction affect: (1) the steady-state plasma concentration, and (2) the time required to reach the new steady state?
ANSWER: B
Rationale:
This question tests two separate and independent pharmacokinetic principles. First, Css_avg is directly proportional to dose (from the equation Css_avg = F × Dose / (CL × τ)) — halving the dose halves Css_avg, assuming the drug follows first-order linear kinetics where clearance is dose-independent. Second, the time to reach any steady state — whether initial steady state or a new steady state after a dose change — is determined exclusively by the drug's elimination half-life and equals approximately 4-5 half-lives. Halving the dose does not change the drug's half-life (which depends on Vd and CL, not dose). Therefore the time course of approach to the new steady state is identical to the original — still 4-5 half-lives. This has an important clinical corollary: when a clinician changes a patient's dose, they should wait 4-5 half-lives before drawing a drug level to confirm the new steady state has been achieved. Drawing a level too early will underestimate the eventual steady-state concentration for dose increases, or overestimate it for dose decreases.
10. A drug with a half-life of 8 hours is given as an intravenous bolus of 200 mg. Using the principle of first-order elimination, approximately what plasma concentration would be expected 24 hours after the dose if the initial concentration (C0) was 10 mg/L?
ANSWER: B
Rationale:
For first-order elimination, plasma concentration at any time t after a dose is given by: C(t) = C0 × (0.5)^(t/t½) = C0 × e^(-k×t), where k = 0.693/t½. At t = 24 hours with t½ = 8 hours: number of half-lives = 24/8 = 3 half-lives. C(24h) = 10 mg/L × (0.5)^3 = 10 × 0.125 = 1.25 mg/L. Checking against the half-life approach: after 1 half-life (8 hours): 10 → 5 mg/L; after 2 half-lives (16 hours): 5 → 2.5 mg/L; after 3 half-lives (24 hours): 2.5 → 1.25 mg/L. Option D makes the error of assuming only two half-lives have elapsed in 24 hours — this would be correct if the half-life were 12 hours.