Vd is an apparent volume calculated as dose divided by the plasma concentration extrapolated back to time zero. It is not an anatomical volume. A drug with Vd of 0.1 L/kg (warfarin, salicylate) stays in plasma because of high protein binding. A drug with Vd of 5 to 10 L/kg (fentanyl, methadone, the tricyclics, digoxin) distributes into adipose, myocardial and lipid-rich depots, has a low plasma concentration relative to total body burden, and a long terminal half-life because slow release from depots rate-limits elimination.
The standard relationship is elimination half-life t½ equals 0.693 times Vd divided by clearance. Other routinely reported parameters are Cmax, Tmax, AUC and bioavailability F. Drugs with extensive first-pass metabolism (morphine, propranolol, verapamil) have low oral bioavailability, which is why the same dose produces a much higher concentration by the intravenous or sublingual route.
Post-mortem redistribution is the consequence of the high-Vd phenomenon after death. In life, tissue depots equilibrate with plasma through active transport and cardiac output. After death, cell membranes lose integrity and drug diffuses passively into the central blood compartments. For a basic lipophilic high-Vd drug stored in myocardium and pulmonary tissue, cardiac blood concentrations can rise two to ten times above the ante-mortem value within 24 to 48 hours. The classic PMR drugs are digoxin (five to tenfold rise), amitriptyline and nortriptyline (two to fivefold), fentanyl, methadone, propranolol and clozapine.
The forensic countermeasure is the matrix sampled. Peripheral femoral blood, drawn with a proximal clamp to prevent backflow of central blood, is the least affected by PMR and is the recommended matrix for quantitative interpretation. Cardiac blood should never be used alone for PMR-prone drugs. Vitreous humor, sequestered in the bony orbit, gives a relatively stable matrix for ethanol, sodium, urea, glucose and some drugs. Bile concentrates conjugated metabolites and confirms chronic morphine, methadone or cocaine use. Hair gives a temporal record at the 1 cm per month growth rate and is the matrix of choice for chronic exposure and older drug-facilitated assault investigations.