Optimal control problems with applications to the elimination of substrate diffusing and convecting through immobilized enzyme |
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Authors: | K Holmåker |
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Institution: | (1) Department of Mathematics, Chalmers University of Technology, Göteborg, Sweden |
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Abstract: | Some optimization problems concerning a substrate in a fluid are considered. The concentration of the substrate is affected by diffusion, convection, and elimination by enzymes, and the problem is to find the optimal distribution of enzymes. In this paper, the rate of elimination and the transmission coefficient are optimized. Mathematically, these problems are optimal control problems, and they are analyzed by means of Pontryagin's maximum principle. |
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Keywords: | Optimal control optimal distribution of enzymes Pontryagin's maximum principle |
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