| Presentation | 1993/12/14 A THEORETICAL ANALYSIS OF THE OPTIMAL TRAJECTORIES OF INPUT IN BIOLOGICAL 3 COMPARTMENTAL MODEL. Hirofumi Hirayama, Yuuichi Satoh, Midori Hatano, Yuzou Fukuyama, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A theoretical analysis was performed on the optimal trajectories of control input which drive the 3 compartments biological system. The system was experssed by linear simultaneous differential equations with time variant reaction diffusion coefficients.The performance function involved the time derivatives of concentration of individual compartment and the deviation from the target values.The optimal trajectories showed inverted parabolic pattern with maximum at its initiation and minimum its middle of reaction timc.The exponential increasing pattern of reaction coefficient induced parabolic patterns of the optimal control variable.Present study affords a theoretical back ground for regulation of the control variable as input. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | OPtimal control / biological control / compartment / performance function / reaction diffusion coefficient |
| Paper # | MBE93-95 |
| Date of Issue |
| Conference Information | |
| Committee | MBE |
|---|---|
| Conference Date | 1993/12/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | ME and Bio Cybernetics (MBE) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A THEORETICAL ANALYSIS OF THE OPTIMAL TRAJECTORIES OF INPUT IN BIOLOGICAL 3 COMPARTMENTAL MODEL. |
| Sub Title (in English) | |
| Keyword(1) | OPtimal control |
| Keyword(2) | biological control |
| Keyword(3) | compartment |
| Keyword(4) | performance function |
| Keyword(5) | reaction diffusion coefficient |
| 1st Author's Name | Hirofumi Hirayama |
| 1st Author's Affiliation | Department of public health,Asahikawa Medical College.() |
| 2nd Author's Name | Yuuichi Satoh |
| 2nd Author's Affiliation | Department of public health,Asahikawa Medical College. |
| 3rd Author's Name | Midori Hatano |
| 3rd Author's Affiliation | Department of public health,Asahikawa Medical College. |
| 4th Author's Name | Yuzou Fukuyama |
| 4th Author's Affiliation | Department of public health,Asahikawa Medical College. |
| Date | 1993/12/14 |
| Paper # | MBE93-95 |
| Volume (vol) | vol.93 |
| Number (no) | 375 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |