On parameter estimation in an in vitro compartmental model for drug-induced enzyme production in pharmacotherapy.

DOI10.21136/AM.2019.0284-18OpenAlexW2924993487MaRDI QIDQ2315462

Jurjen Duintjer Tebbens, Ctirad Matonoha, Andreas Matthios, Štěpán Papáček

Publication date: 5 August 2019

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/am.2019.0284-18

zbMATH Keywords

parameter estimationconstrained optimizationpharmacotherapypharmacodynamic modelling

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear ordinary differential equations and systems (34A34) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Numerical computation of matrix exponential and similar matrix functions (65F60)

Related Items (1)

On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks.

Uses Software

• Matlab
• UFO
• ODEPACK
• Celldesigner

Cites Work

• Development of a quantitative model of pregnane X receptor (PXR) mediated xenobiotic metabolizing enzyme induction
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• A Simplex Method for Function Minimization

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