title: Modeling fractal-like drug elimination kinetics using an interacting random-walk model.
abstract: We introduce an interacting random-walk model to describe the residence time of drug molecules undergoing a series of sojourn times in the body before being permanently eliminated under either homogeneous or heterogeneous conditions. We show that short-term correlations between drug molecules lead to Michaelis-Menten kinetics while long-term correlations lead to transient fractal-like kinetics. By combining both types of correlation, fractal-like Michaelis-Menten kinetics are achieved, and the simulations confirm previous analytical results.
authors.affiliation: Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2J1. rmarsh@ualberta.ca
authors.forename: Rebeccah E
authors.initials: RE
authors.lastname: Marsh
authors.forename: Terence A
authors.initials: TA
authors.lastname: Riauka
mesh_terms: D000818:Animals; D003198:Computer Simulation; D017709:Fractals; D006801:Humans; D007700:Kinetics; D008657:Metabolic Clearance Rate; D008954:Models, Biological; D008956:Models, Chemical; D015233:Models, Statistical; D004364:Pharmaceutical Preparations / Q000378:metabolism*; D010599:Pharmacokinetics
chemical_list: D004364:Pharmaceutical Preparations