General relationship between transit compartments and lifespan models.
Transit compartment models (TCM) are important tools in pharmacokinetic/pharmacodynamic (PKPD) modeling. In this work we investigate the relationship between TCMs with arbitrary initial values and lifespan models (LSM) with non-constant past and constant lifespan. We show that the total population in all transit compartments converges to a LSM, if the number of compartments n tends to infinity. The key to obtain this result is to establish a relationship between the initial values of the TCM and the non-constant past of the LSM. We apply the result to two already published PKPD models.
Department of Mathematics and Statistics, University of Konstanz, P.O. Box 195, 78457 Konstanz, Germany. gilbert.koch@uni-konstanz.de
Gilbert
G
Koch
Johannes
J
Schropp
D006801:Humans; D008954:Models, Biological; D010599:Pharmacokinetics