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Literature DB >> 6689584

Computation of the explicit solution to the Michaelis-Menten equation.

Abstract

An explicit solution to the Michaelis-Menten differential equation with bolus and zero-order input is presented. This solution involves certain simple functions whose values are not readily available. Efficient algorithms for computing values of these functions to any desired degree of accuracy and FORTRAN codes for implementing them are also given.

Mesh：

Substances：

Year: 1983 PMID： 6689584 DOI： 10.1007/bf01059062

Source DB: PubMed Journal: J Pharmacokinet Biopharm ISSN： 0090-466X

2 in total

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Authors: S L Beal
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Journal: Clin Pharmacol Ther Date: 1980-10 Impact factor: 6.875

2 in total

11 in total

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Authors: Joakim Nyberg; Mats O Karlsson; Andrew C Hooker
Journal: J Pharmacokinet Pharmacodyn Date: 2009-03-25 Impact factor: 2.745

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Journal: Eur J Drug Metab Pharmacokinet Date: 1998 Apr-Jun Impact factor: 2.441

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Journal: J Pharmacokinet Biopharm Date: 1995-04

6. Closed form solutions and dominant elimination pathways of simultaneous first-order and Michaelis-Menten kinetics.

Authors: Xiaotian Wu; Jun Li; Fahima Nekka
Journal: J Pharmacokinet Pharmacodyn Date: 2015-02-13 Impact factor: 2.745

7. Exploring inductive linearization for pharmacokinetic-pharmacodynamic systems of nonlinear ordinary differential equations.

Authors: Chihiro Hasegawa; Stephen B Duffull
Journal: J Pharmacokinet Pharmacodyn Date: 2017-05-26 Impact factor: 2.745

8. Mathematical analysis and drug exposure evaluation of pharmacokinetic models with endogenous production and simultaneous first-order and Michaelis-Menten elimination: the case of single dose.

Authors: Xiaotian Wu; Fahima Nekka; Jun Li
Journal: J Pharmacokinet Pharmacodyn Date: 2018-07-09 Impact factor: 2.745

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10. One-compartment model with Michaelis-Menten elimination kinetics and therapeutic window: an analytical approach.

Authors: Sanyi Tang; Yanni Xiao
Journal: J Pharmacokinet Pharmacodyn Date: 2007-09-15 Impact factor: 2.410