Presentation | 2010-03-09 On statistical inference of estimating fluorescent indicator and intracellular ionic concentrations on the basis of a self-organizing state-space model Ryohei IWAHASHI, Takashi TATENO, |
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Abstract(in English) | For measuring concentration of free calcium ([Ca^<2+>]_i) inside living cells, indicator dyes including fura-2 are widely used. It should be appreciated, however, that such indicator dye is a divalent metal ion chelator which changes its fluorescence properties and intrinsic intracellular Ca^<2+> dynamics. Because, as chelators, indicator dyes may influence the quantity of interest, the Ca signal, it is important to know its influence on intracellular Ca^<2+> dynamics quantitatively. In this study, to estimate [Ca^<2+>]_i, for the first step, we have proposed a statistical inference method in which [Ca^<2+>]_i, is inferred by measurements of fluorescence signals and Ca^<2+> current that inflows thorough cellular membrane. Firstly, we constructed a state-space model describing the dynamics whose state variables are concentrations of calcium ion, calcium buffer, and calcium indicators. Then, its self-organizing state-space model was defined by augmenting a state vector with unknown parameters of the original state-space model. In the model, unknown parameters were estimated equally as the original state vector. Next, we applied recursive Bayesian estimation to infer a set of the state vector and the unknown parameters from a set of the observation vector. To calculate the recursive Bayesian estimation, we used a sequential Monte-Carlo method, which is referred to as a particle filter method. To verify effectiveness of the proposed method, we carried out numerical experiments for a test model with known parameters. As the result, we show that the proposed method could estimate the time course of [Ca^<2+>]_i and the indicator dye concentration. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Ca imaging, Ca^<2+> dynamics / particle filter / self-organizing state space model |
Paper # | NC2009-94 |
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Committee | NC |
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Conference Date | 2010/3/2(1days) |
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Registration To | Neurocomputing (NC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | On statistical inference of estimating fluorescent indicator and intracellular ionic concentrations on the basis of a self-organizing state-space model |
Sub Title (in English) | |
Keyword(1) | Ca imaging, Ca^<2+> dynamics |
Keyword(2) | particle filter |
Keyword(3) | self-organizing state space model |
1st Author's Name | Ryohei IWAHASHI |
1st Author's Affiliation | Graduate School of Engineering Science, Osaka University() |
2nd Author's Name | Takashi TATENO |
2nd Author's Affiliation | Graduate School of Engineering Science, Osaka University:PRESTO, Japan Science and Technology Agency |
Date | 2010-03-09 |
Paper # | NC2009-94 |
Volume (vol) | vol.109 |
Number (no) | 461 |
Page | pp.pp.- |
#Pages | 6 |
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