A bolus of drug K is given IV. The drug is noted to follow first order kinetics. Which of the following describe the elimination of drug K
**Core Concept:** First order kinetics is a mathematical model describing the rate of a reaction or system that is proportional to the concentration of a single reactant. In pharmacokinetics, it is used to describe the elimination phase of drug elimination, where the drug concentration decreases at a constant rate.
**Why the Correct Answer is Right:** Drug K is eliminated from the body following first order kinetics. In this model, the elimination rate (k) is directly proportional to the concentration of the drug (C). The equation for first order kinetics is:
Elimination rate (k) = rate constant (k)
In first order elimination, the elimination half-life (t1/2) is given by the formula:
t1/2 = ln(2) / k
**Why Each Wrong Option is Incorrect:**
A. This option is incorrect because first order kinetics is a valid model for drug elimination in pharmacokinetics.
B. This option is wrong because it does not match the mathematical equation for first order kinetics (Elimination rate (k) = rate constant (k)).
C. This option is incorrect because it does not accurately represent the mathematical equation for first order kinetics (Elimination rate (k) = rate constant (k)).
D. This option is wrong because it does not accurately represent the mathematical equation for first order kinetics (Elimination rate (k) = rate constant (k)).
**Clinical Pearl:** Understanding pharmacokinetic models like first order kinetics helps medical students and practitioners predict drug concentrations in the body and adjust dosing regimens accordingly. For example, if the rate constant (k) is known, the elimination half-life (t1/2) can be calculated to determine when the drug concentration will decrease by half. This information is crucial for ensuring safe, effective therapy and avoiding adverse drug reactions.