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
Project Status	Completed (Fiscal Year 2012)
Budget Amount *help	¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000) Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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 / Fisher情報量 / 数理モデル / Hodgkin-Huxley方程式 / 数値計算 / 確率共鳴 / 非線形システム
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.