Journal article
A problem decomposition technique with application to the optimal distribution of enzymes
SIAM journal on control and optimization, Vol.30(2), pp.390-407
1992
DOI: 10.1137/0330024
Abstract
A model for enzyme-driven reactions in steady state is given which involves the enzyme concentrations linearly and the reactant concentrations nonlinearly. From this model an optimization problem is set up for the enzyme distributions, which involves only nonnegativity and integral constraints. Using some earlier theoretical work of Holmaker and Stewart [SIAM J. Control Optim. 25 (1987), pp. 1032-1052], a problem decomposition principle is proven. Results for a single enzyme-driven reaction is then used to produce a dynamic programming technique for trees and chains of enzyme driven reactions. This is extended to give a technique for determining the optimal amount of each enzyme subject to an overall cost limit. Numerical results are given for a test problem of the author's devising.
Details
- Title: Subtitle
- A problem decomposition technique with application to the optimal distribution of enzymes
- Creators
- D. E Stewart - Univ. Queensland, dep. mathematics, St. Lucia Queensl. 4072, Australia
- Resource Type
- Journal article
- Publication Details
- SIAM journal on control and optimization, Vol.30(2), pp.390-407
- Publisher
- Society for Industrial and Applied Mathematics
- DOI
- 10.1137/0330024
- ISSN
- 0363-0129
- eISSN
- 1095-7138
- Language
- English
- Date published
- 1992
- Academic Unit
- Mathematics
- Record Identifier
- 9984241058702771
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