title: Closed form solutions and dominant elimination pathways of simultaneous first-order and Michaelis-Menten kinetics.
abstract: The current study aims to provide the closed form solutions of one-compartment open models exhibiting simultaneous linear and nonlinear Michaelis-Menten elimination kinetics for single- and multiple-dose intravenous bolus administrations. It can be shown that the elimination half-time ([Formula: see text]) has a dose-dependent property and is upper-bounded by [Formula: see text] of the first-order elimination model. We further analytically distinguish the dominant role of different elimination pathways in terms of model parameters. Moreover, for the case of multiple-dose intravenous bolus administration, the existence and local stability of the periodic solution at steady state are established. The closed form solutions of the models are obtained through a newly introduced function motivated by the Lambert W function.
authors: Department of Mathematics, Shanghai Maritime University, Shanghai, 201306, China.
authors: Xiaotian
authors: X
authors: Wu
authors: Jun
authors: J
authors: Li
authors: Fahima
authors: F
authors: Nekka
mesh_terms: D007275:Injections, Intravenous / Q000379:methods; D007700:Kinetics; D008954:Models, Biological; D004364:Pharmaceutical Preparations / Q000378:metabolism*; D012996:Solutions / Q000493:pharmacokinetics*
chemical_list: D004364:Pharmaceutical Preparations; D012996:Solutions