What is the formula for volume of distribution (Vd), and what does a low vs. high Vd imply about a drug?
Answer: Vd = (amount of drug in the body) / (plasma drug concentration). Low Vd (~4–8 L, plasma volume): drug stays in blood (large, charged, highly protein-bound, e.g. warfarin). High Vd (>body water, e.g. >42 L): drug sequesters in tissues (lipophilic, e.g. digoxin, TCAs).
Explanation
Worked example: 100 mg drug given IV, measured plasma concentration = 2 mg/L → Vd = 100 mg / 2 mg/L = 50 L.