| Presentation | 1999/5/20 Analysis of Transient Behavior of Probabilistic Neural Discharging State by Transitional Probabilistic Differential Equations. H. Hirayama, Y. Okita, T. Kitagawa, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We introduced a mathematical method for the probabilistic behavior of a neural discharge by the first order differential- difference equation. The neuron is assumed to receive exogenous impulses arriving randomly on the dendrites. The neuron was assumed to process these pulses with a negative exponential distribution process time. By introducing generating function and Laplace transformation, we induced a differential equations for the generating function. By the serial expansion, we obtained a differential equation for the probabilistic state. The temporal behavior of the rate of state probability was parabolic showing definite peak. The time course was influenced by the initial state and arriving impulses. The present method will be available for evaluating the probabilistic behavior of a neuron. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Neural discharge / differential- difference equation / generating function / Laplace transformation |
| Paper # | NC99-1 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1999/5/20(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 | Neurocomputing (NC) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of Transient Behavior of Probabilistic Neural Discharging State by Transitional Probabilistic Differential Equations. |
| Sub Title (in English) | |
| Keyword(1) | Neural discharge |
| Keyword(2) | differential- difference equation |
| Keyword(3) | generating function |
| Keyword(4) | Laplace transformation |
| 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 | Department of engineering Shizuoka university |
| 3rd Author's Name | T. Kitagawa |
| 3rd Author's Affiliation | Department of Public Health Asahikawa Medical College |
| Date | 1999/5/20 |
| Paper # | NC99-1 |
| Volume (vol) | vol.99 |
| Number (no) | 58 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |