Sensitivity analysis and model optimization for reaction-diffusion systems
type: Item
instance of: scholarly article
title: Sensitivity analysis and model optimization for reaction-diffusion systems
zbMATH Open document ID: 0541.93017
DOI: 10.1007/BF00938397
author: C. L. Irwin
author: Vadim Komkov
published in: Journal of Optimization Theory and Applications
publication date: 1984-01-01T00:00:00Z
review text: This paper presents a computational framework for the optimization and sensitivity analysis of a process whose state depends upon several parameter functions. Assuming that the process is described by a systems of quasilinar, parabolic, partial differential equations, we show how determining the problem parameters so as to improve an associated objective functional is directly related to knowing the state function sensitivities. An expression for the gradient of the objective functional in terms of the solutions of an adjoint system enables one to bypass the calculation of state function sensitivities. These concepts are illustrated for a simple model of cooperative processes in chemical kinetics. Since sensitivity analysis and model optimization are important tools for investigating parameter dependence and validating mathematical models, research developments in such diverse fields as optimal design theory, chemical kinetics, and parameter identification are important motivations for this paper.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 3860972
zbMATH Keywords: systems of quasilinar, parabolic, partial differential equations
zbMATH Keywords: adjoint system
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: model optimization
zbMATH Keywords: parameter identification
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3860972