Nonlinear numerical optimization technique based on genetic algorithm for inverse problem

Daisuke Tominaga, Masahiro Okamoto

Research output: Contribution to journalArticle

Abstract

Organizationally complex nonlinear systems, such as metabolic pathways and gene-circuit systems, are comprised of numerous, richly interacting system components. In the case where the details of the process that govern interactions among system components (state variables) are not well known, however, how do we represent mathematical model for such complex nonlinear processes? Estimation of the interaction mechanism among system components by using the experimentally observed dynamic responses (time-courses) of some of the system components is generally a so-called "inverse problem." The "S-system," which belongs to power-law formalism, is one of the best representations to solve this inverse problem; the S-system is rich enough in structure to capture all relevant dynamics. This formalism has, however, a major disadvantage in that it includes large number of parameters to be estimated; the estimation of these parameter-values is almost never straightforward, and almost always a real challenge. In this paper, for the purpose of solving the inverse problem, we introduce the Genetic Algorithm and propose an efficient procedure for estimation (optimization) of large numbers of parameters in S-system formalism.

Original languageEnglish
Pages (from-to)224-225
Number of pages2
JournalKagaku Kogaku Ronbunshu
Volume25
Issue number2
Publication statusPublished - Mar 1999
Externally publishedYes

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Inverse problems
Genetic algorithms
Dynamic response
Nonlinear systems
Genes
Mathematical models
Networks (circuits)

All Science Journal Classification (ASJC) codes

  • Materials Science (miscellaneous)

Cite this

Nonlinear numerical optimization technique based on genetic algorithm for inverse problem. / Tominaga, Daisuke; Okamoto, Masahiro.

In: Kagaku Kogaku Ronbunshu, Vol. 25, No. 2, 03.1999, p. 224-225.

Research output: Contribution to journalArticle

Tominaga, Daisuke ; Okamoto, Masahiro. / Nonlinear numerical optimization technique based on genetic algorithm for inverse problem. In: Kagaku Kogaku Ronbunshu. 1999 ; Vol. 25, No. 2. pp. 224-225.
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