| Presentation | 2020-03-06 A finite state markov-chain approximation of the intermittent control model during human quiet standing using a finite element analysis of its Fokker-Planck equation Keigo Togame, Akihiro Nakamura, Yasuyuki Suzuki, Taishin Nomura, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The intermittent control during human quiet standing is a hypothetical neural control strategy that we have proposed in recent years. In this model, the standing posture is stabilized by switching between on and off in the use of a time-delay proportional-derivative feedback controller discontinuously depending on the postural state. By taking stochastic nature of the postural dynamics (postural sway) into account, the model driven by additive noise can be described by a hybrid stochastic differential equation. It is preferable that dynamics of such model is analyzed by a time evolution of probability density function of the state point, which can be described by a Fokker-Planck equation, rather than by that of a single sampled state point. Because a solution of a Fokker-Planck equation is a Markov process, we can obtain a finite state Markov-chain approximation of a Fokker-Planck equation using a finite element analysis that discretizes the equation in time and space. However, only few studies so far focused on the use of a finite element analysis for Fokker-Planck equation, particularly hybrid stochastic differential equations. In this study, we establish an algorithm for performing a finite element analysis for Fokker-Planck equations for hybrid stochastic differential equations. We then show that the developed algorithm can be successfully applied to the analysis of the intermittent postural control model. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | stochastic hybrid dynamical system / Fokker-Planck equation / finite element method / markov process / intermittent control |
| Paper # | MBE2019-96 |
| Date of Issue | 2020-02-26 (MBE) |
| Conference Information | |
| Committee | NC / MBE |
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| Conference Date | 2020/3/4(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | University of Electro Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Neuro Computing, Medical Engineering, etc. |
| Chair | Hayaru Shouno(UEC) / Taishin Nomura(Osaka Univ.) |
| Vice Chair | Kazuyuki Samejima(Tamagawa Univ) / Takashi Watanabe(Tohoku Univ.) |
| Secretary | Kazuyuki Samejima(NAIST) / Takashi Watanabe(NTT) |
| Assistant | Takashi Shinozaki(NICT) / Ken Takiyama(TUAT) / Yasuyuki Suzuki(Osaka Univ.) / Akihiro Karashima(Tohoku Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Neurocomputing / Technical Committee on ME and Bio Cybernetics |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A finite state markov-chain approximation of the intermittent control model during human quiet standing using a finite element analysis of its Fokker-Planck equation |
| Sub Title (in English) | |
| Keyword(1) | stochastic hybrid dynamical system |
| Keyword(2) | Fokker-Planck equation |
| Keyword(3) | finite element method |
| Keyword(4) | markov process |
| Keyword(5) | intermittent control |
| 1st Author's Name | Keigo Togame |
| 1st Author's Affiliation | Osaka University(Osaka Univ.) |
| 2nd Author's Name | Akihiro Nakamura |
| 2nd Author's Affiliation | Osaka University(Osaka Univ.) |
| 3rd Author's Name | Yasuyuki Suzuki |
| 3rd Author's Affiliation | Osaka University(Osaka Univ.) |
| 4th Author's Name | Taishin Nomura |
| 4th Author's Affiliation | Osaka University(Osaka Univ.) |
| Date | 2020-03-06 |
| Paper # | MBE2019-96 |
| Volume (vol) | vol.119 |
| Number (no) | MBE-452 |
| Page | pp.pp.83-83(MBE), |
| #Pages | 1 |
| Date of Issue | 2020-02-26 (MBE) |