Definition
Pharmacokinetics is the branch of pharmacology that studies how a drug moves through the body over time. It describes the processes of absorption, distribution, metabolism, and excretion (often abbreviated as ADME). Pharmacokinetics answers the question: "What does the body do to the drug?"
Key parameters include:
- $C_{\text{max}}$: Maximum plasma concentration
- $T_{\text{max}}$: Time to reach $C_{\text{max}}$
- $t_{1/2}$: Elimination half-life
- $V_d$: Volume of distribution
- $CL$: Clearance
- Understanding pharmacokinetics is essential for safe and effective drug therapy.
Worked Example
Example:
A patient receives a single 500 mg intravenous (IV) dose of a drug. The plasma concentration decreases according to first-order kinetics with an elimination rate constant $k = 0.2, \text{hr}^{-1}$. What is the plasma concentration after 4 hours if the initial concentration ($C_0$) is $20, text{mg/L}$?
**Solution:**
First-order elimination is described by:
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Plug in the values:
- $C_0 = 20, text{mg/L}$
- $k = 0.2, text{hr}^{-1}$
- $t = 4, text{hr}$
Calculate:
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Using $e^{-0.8} approx 0.4493$:
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## Key Takeaways
- Pharmacokinetics describes how the body absorbs, distributes, metabolizes, and excretes drugs (ADME).
- Key parameters (e.g., $t_{1/2}$, $V_d$, $CL$) help determine dosing and frequency.