caa a22 4500 605534217 CHVBK 20210128100841.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10928-015-9407-3 doi (NATIONALLICENCE)springer-10.1007/s10928-015-9407-3 Closed form solutions and dominant elimination pathways of simultaneous first-order and Michaelis-Menten kinetics [Elektronische Daten] [Xiaotian Wu, Jun Li, Fahima Nekka] 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 ( $$t_{1/2}$$ t 1 / 2 ) has a dose-dependent property and is upper-bounded by $$t_{1/2}$$ t 1 / 2 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. Springer Science+Business Media New York, 2015 Closed form solutions nationallicence Simultaneous elimination nationallicence Elimination half-time nationallicence Dominant role nationallicence Lambert W function nationallicence Wu Xiaotian Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, China aut Li Jun Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada aut Nekka Fahima Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada aut Journal of Pharmacokinetics and Pharmacodynamics Springer US; http://www.springer-ny.com 42/2(2015-04-01), 151-161 1567-567X 42:2<151 2015 42 10928 https://doi.org/10.1007/s10928-015-9407-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10928-015-9407-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Xiaotian Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, China aut NATIONALLICENCE 700 1- Li Jun Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada aut NATIONALLICENCE 700 1- Nekka Fahima Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada aut NATIONALLICENCE 773 0- Journal of Pharmacokinetics and Pharmacodynamics Springer US; http://www.springer-ny.com 42/2(2015-04-01), 151-161 1567-567X 42:2<151 2015 42 10928