Adaptive approach for nonlinear sensitivity analysis of reaction kinetics.
J Comput Chem
; 26(9): 941-8, 2005 Jul 15.
Article
em En
| MEDLINE
| ID: mdl-15858828
ABSTRACT
We present a unified approach for linear and nonlinear sensitivity analysis for models of reaction kinetics that are stated in terms of systems of ordinary differential equations (ODEs). The approach is based on the reformulation of the ODE problem as a density transport problem described by a Fokker-Planck equation. The resulting multidimensional partial differential equation is herein solved by extending the TRAIL algorithm originally introduced by Horenko and Weiser in the context of molecular dynamics (J. Comp. Chem. 2003, 24, 1921) and discussed it in comparison with Monte Carlo techniques. The extended TRAIL approach is fully adaptive and easily allows to study the influence of nonlinear dynamical effects. We illustrate the scheme in application to an enzyme-substrate model problem for sensitivity analysis w.r.t. to initial concentrations and parameter values.
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Base de dados:
MEDLINE
Assunto principal:
Algoritmos
/
Método de Monte Carlo
/
Modelos Teóricos
Tipo de estudo:
Diagnostic_studies
/
Health_economic_evaluation
Idioma:
En
Revista:
J Comput Chem
Assunto da revista:
QUIMICA
Ano de publicação:
2005
Tipo de documento:
Article
País de afiliação:
Alemanha