| Presentation | 2023-06-09 Bifurcation analysis and simulation of a biological switch model Quankai Zhang, Tetsushi Ueta, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Using a mathematical model of biological switches, we examine the phenomenon of cell differentiation under a cyclic external force as a circadian rhythm. In order to understand the differentiation state of cells with different parameters in the mathematical model, a bifurcation analysis of the periodic solution is investigated, and the topological classification of the periodic solution is performed by means of a bifurcation diagram. We also show that a period-doubling cascade chain occurs, resulting in different states of Delta concentration, or differentiation, in the cell. The response of the mathematical model under a cyclic external force as a circadian rhythm is investigated by computer simulations. In the bistable region, the attraction regions are separated from each other by a high potential, and the amplitude of a cyclic external force as a circadian rhythm cannot merge the attraction regions with each other, indicating that the switch structure does not collapse. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | biological switch / cell differentiation / mathematical modeling / bifurcation analysis |
| Paper # | NLP2023-23,CCS2023-11 |
| Date of Issue | 2023-06-01 (NLP, CCS) |
| Conference Information | |
| Committee | CCS / NLP |
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| Conference Date | 2023/6/8(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Tokyo City Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | CCS, NLP, etc. |
| Chair | Masaki Aida(TMU) / Hiroyuki Torikai(Hosei Univ.) |
| Vice Chair | Hidehiro Nakano(Tokyo City Univ.) / Atsushi Uchida(Saitama Univ.) / Yuichi Tanji(Kagawa Univ.) |
| Secretary | Hidehiro Nakano(Shibaura Inst. of Tech.) / Atsushi Uchida(Shonan Inst. of Tech.) / Yuichi Tanji(Gifu Univ.) |
| Assistant | Kazutaka Kanno(Saitama Univ.) / Hiroyuki Yasuda(Univ. of Tokyo) / Miki Kobayashi(Rissho Univ.) / Naoya Fujiwara(Tohoku Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) / Eri Ioka(Shibaura Institute of Technology) |
| Paper Information | |
| Registration To | Technical Committee on Complex Communication Sciences / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation analysis and simulation of a biological switch model |
| Sub Title (in English) | |
| Keyword(1) | biological switch |
| Keyword(2) | cell differentiation |
| Keyword(3) | mathematical modeling |
| Keyword(4) | bifurcation analysis |
| 1st Author's Name | Quankai Zhang |
| 1st Author's Affiliation | Tokushima University(Tokushima Univ) |
| 2nd Author's Name | Tetsushi Ueta |
| 2nd Author's Affiliation | Tokushima University(Tokushima Univ) |
| Date | 2023-06-09 |
| Paper # | NLP2023-23,CCS2023-11 |
| Volume (vol) | vol.123 |
| Number (no) | NLP-66,CCS-67 |
| Page | pp.pp.45-48(NLP), pp.45-48(CCS), |
| #Pages | 4 |
| Date of Issue | 2023-06-01 (NLP, CCS) |