Closed form solutions and dominant elimination pathways of simultaneous first-order and Michaelis-Menten kinetics
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| 024 | 7 | 0 | |a 10.1007/s10928-015-9407-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10928-015-9407-3 | ||
| 245 | 0 | 0 | |a Closed form solutions and dominant elimination pathways of simultaneous first-order and Michaelis-Menten kinetics |h [Elektronische Daten] |c [Xiaotian Wu, Jun Li, Fahima Nekka] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 690 | 7 | |a Closed form solutions |2 nationallicence | |
| 690 | 7 | |a Simultaneous elimination |2 nationallicence | |
| 690 | 7 | |a Elimination half-time |2 nationallicence | |
| 690 | 7 | |a Dominant role |2 nationallicence | |
| 690 | 7 | |a Lambert W function |2 nationallicence | |
| 700 | 1 | |a Wu |D Xiaotian |u Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, China |4 aut | |
| 700 | 1 | |a Li |D Jun |u Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada |4 aut | |
| 700 | 1 | |a Nekka |D Fahima |u Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada |4 aut | |
| 773 | 0 | |t Journal of Pharmacokinetics and Pharmacodynamics |d Springer US; http://www.springer-ny.com |g 42/2(2015-04-01), 151-161 |x 1567-567X |q 42:2<151 |1 2015 |2 42 |o 10928 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10928-015-9407-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10928-015-9407-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wu |D Xiaotian |u Department of Mathematics, Shanghai Maritime University, 201306, Shanghai, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Li |D Jun |u Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Nekka |D Fahima |u Faculté de Pharmacie, Université de Montréal, H3T1J4, Montréal, QC, Canada |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Pharmacokinetics and Pharmacodynamics |d Springer US; http://www.springer-ny.com |g 42/2(2015-04-01), 151-161 |x 1567-567X |q 42:2<151 |1 2015 |2 42 |o 10928 | ||