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.
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Keyword(in English) Ca imaging, Ca^<2+> dynamics / particle filter / self-organizing state space model
Paper # NC2009-94
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Committee NC
Conference Date 2010/3/2(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) 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
Date of Issue