A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics.
Based on a stochastic pharmacokinetical model (which mirrors topological properties of the circulatory system) it is shown by reinterpreting results of Wise (1974) that if the transit times of circulating drug molecules have a generalized inverse Gaussian distribution the corresponding residence times are gamma distributed. The condition that the probability of elimination of a drug molecule in a single circulatory passage is sufficiently small appears to be valid for most drugs. Thus theoretical evidence is given for fitting blood concentration-time curves following bolus injection of a single dose by power functions of time.
D006801:Humans; D007700:Kinetics; D008954:Models, Biological; D004364:Pharmaceutical Preparations / Q000097:blood*; D013223:Statistics as Topic
D004364:Pharmaceutical Preparations