| Presentation | 1999/10/27 Mathematical Method for the Time Minimum Optimal Control for the Cycling Reactions in Two Step Enzyme Reactions. H. Hirayama, N. Kitagawa, Y. Okita, T. Kazui, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We proposed a mathematical method for analyzing the time minimum optimal control strategy for the cycling reactions in the two enzymes system. The reaction system consisted of 2 substrates which interacts through the first enzyme. The first step produces two intermediate products. These are again utilized by the second enzyme system to produce the final products. By assuming the time minimum control, we set Hamiltonian function. By the partial differentiation, we get the optimized differential equations for the co-state variables. By the numerical method, the substrates and the intermediate products in the first step decreased rapidly while the intermediate and the final products in the second reaction increased significantly. The present method will be available for evaluating the time optimal nature of the cycling reactions in the biochemical systems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Cycling reaction / Time minimum optimal control / Non linear differential equations / Intermediate |
| Paper # | MBE99-102 |
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| Conference Information | |
| Committee | MBE |
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| Conference Date | 1999/10/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | ME and Bio Cybernetics (MBE) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Mathematical Method for the Time Minimum Optimal Control for the Cycling Reactions in Two Step Enzyme Reactions. |
| Sub Title (in English) | |
| Keyword(1) | Cycling reaction |
| Keyword(2) | Time minimum optimal control |
| Keyword(3) | Non linear differential equations |
| Keyword(4) | Intermediate |
| 1st Author's Name | H. Hirayama |
| 1st Author's Affiliation | Department of Public Health Asahikawa medical college() |
| 2nd Author's Name | N. Kitagawa |
| 2nd Author's Affiliation | Department of Public Health Asahikawa medical college |
| 3rd Author's Name | Y. Okita |
| 3rd Author's Affiliation | The Graduate School of Shizuoka university |
| 4th Author's Name | T. Kazui |
| 4th Author's Affiliation | The First Department of Surgery Hamamatsu medical college. |
| Date | 1999/10/27 |
| Paper # | MBE99-102 |
| Volume (vol) | vol.99 |
| Number (no) | 392 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |