| Presentation | 2000/9/22 Mathematical Method for Stochastic Approach for Biochemical Reactions. H Hirayama, 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 introduced a method for analyzing the probabilistic behavior of a biochemical reaction. The target reaction was simplified to be composed of sufficient amount of substrate, enzyme, intermediate product and the final product. The random variables E(t), S(t), C(t) and P(t) represented the number of enzyme, substrate, intermediate complex and product molecules at time t. Let e, s, c and p denote integer values that these random variables can assume. The Kolmogorov forward equation was induced for the probabilistic behavior of the system. By defining the generator function of the system, we obtained the partial differential equation that the probability generating function satisfies. By expanding the generating function, we could obtain the mean (expected value) and the variance of the biochemical behaviors. The present method will be available for evaluating the stochastic behavior of the single component biochemical reaction. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Biochemical reaction / Probabilistic differential equation / Generator function / Kolmogorov equation |
| Paper # | MBE2000-53 |
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| Conference Information | |
| Committee | MBE |
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| Conference Date | 2000/9/22(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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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 Stochastic Approach for Biochemical Reactions. |
| Sub Title (in English) | |
| Keyword(1) | Biochemical reaction |
| Keyword(2) | Probabilistic differential equation |
| Keyword(3) | Generator function |
| Keyword(4) | Kolmogorov equation |
| 1st Author's Name | H Hirayama |
| 1st Author's Affiliation | Department of Public Health Asahikawa medical college() |
| 2nd Author's Name | Y Okita |
| 2nd Author's Affiliation | The Graduate School of Shizuoka university |
| 3rd Author's Name | T Kazui |
| 3rd Author's Affiliation | Hamamats Medical College |
| Date | 2000/9/22 |
| Paper # | MBE2000-53 |
| Volume (vol) | vol.100 |
| Number (no) | 330 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |