title: Asymptotic time dependence in the fractal pharmacokinetics of a two-compartment model.
abstract: We further investigate, both analytically and numerically, the properties of the fractal two-compartment model introduced by Fuite [J. Fuite, R. Marsh, and J. Tuszynski, Phys. Rev. E 66, 021904 (2002)]. Specifically, we look at the effects of the fractal exponent of the elimination rate coefficient on the long-time behavior of the pharmacokinetic clearance tail. For small exponent values, the tail exhibits exponential behavior, while for larger values, there is a transition to a power law. The theory is applied to seven data sets simulating drugs taken from the pharmacological literature.
authors.affiliation: Department of Physics, University of Alberta, Edmonton, Alberta, Canada, T6G 2J1.
authors.forename: P
authors.initials: P
authors.lastname: Chelminiak
authors.forename: R E
authors.initials: RE
authors.lastname: Marsh
authors.forename: J A
authors.initials: JA
authors.lastname: Tuszyński
authors.forename: J M
authors.initials: JM
authors.lastname: Dixon
authors.forename: K J E
authors.initials: KJ
authors.lastname: Vos
mesh_terms: D003198:Computer Simulation; D017709:Fractals; D007700:Kinetics; D008657:Metabolic Clearance Rate; D008954:Models, Biological; D010599:Pharmacokinetics; D013997:Time Factors