2012 Fiscal Year Final Research Report

Mathematical Analysis of Inverse Problems for Applied Science and Application of Information Theory

Research Project

Project/Area Number	21740072
Research Category	Grant-in-Aid for Young Scientists (B)
Allocation Type	Single-year Grants
Research Field	General mathematics (including Probability theory/Statistical mathematics)
Research Institution	Kyoto University
Principal Investigator	KUBO Masayoshi 京都大学, 大学院・情報学研究科, 講師 (10273616)
Project Period (FY)	2009 – 2012
Keywords	逆問題 / 情報理論 / 数学解析 / 確率微分方程式 / 推定理論 / Hodgkin-Huxley 方程式
Research Abstract	Inverse problems for stochastic differential equations, especiallyHodgkin-Huxley equations, are examined. We propose a method to estimate properties ofneuronal network activity from intracellular recordings provides estimates of ion channelconductance.