Presentation 2007-03-14
Estimation for Phase Response Curve under Power Spectrum Constraint
Keisuke OTA, Toru AONISHI, Toshiaki OMORI, Masato OKADA,
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Abstract(in English) We propose an algorithm to estimate PRCs in the Bayesian framework. Firstly, we described analytically deterioration process for observed date by solving Fokker-Planck equation. This deterioration process enables us to discuss what perturbation dominantly retains linear response characteristic. Then, we derived reversal process for observation process by Bayes' theorem, and estimated a pure PRCs by a maximum a posteriori (MAP). Power spectrum constrain allows noise to operate multiplicatively to the system. Simulation by Morris-Lecar Neuron Model suggests our method estimates an optimal PRCs of In-Vitro neuron, even if the noise of neuron is unknown.
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Keyword(in English) Phase Response Curve / Liner Response Theory / Fokker-Planck Equation / Bayesian Approach / MAP Estimation
Paper # NC2006-124
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Committee NC
Conference Date 2007/3/7(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Estimation for Phase Response Curve under Power Spectrum Constraint
Sub Title (in English)
Keyword(1) Phase Response Curve
Keyword(2) Liner Response Theory
Keyword(3) Fokker-Planck Equation
Keyword(4) Bayesian Approach
Keyword(5) MAP Estimation
1st Author's Name Keisuke OTA
1st Author's Affiliation Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology()
2nd Author's Name Toru AONISHI
2nd Author's Affiliation Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology:RIKEN Brain Science Institute
3rd Author's Name Toshiaki OMORI
3rd Author's Affiliation Research Fellow, Japan Society for the Promotion of Science:RIKEN Brain Science Institute
4th Author's Name Masato OKADA
4th Author's Affiliation Graduate School of Frontier Sciences, The University of Tokyo:Research Fellow, Japan Society for the Promotion of Science:RIKEN Brain Science Institute
Date 2007-03-14
Paper # NC2006-124
Volume (vol) vol.106
Number (no) 588
Page pp.pp.-
#Pages 6
Date of Issue