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Paper Abstract and Keywords
Presentation 2010-03-09 13:45
On statistical inference of estimating fluorescent indicator and intracellular ionic concentrations on the basis of a self-organizing state-space model
Ryohei Iwahashi (Osaka Univ.), Takashi Tateno (Osaka Univ./JST) NC2009-94
Abstract (in Japanese) (See Japanese page) 
(in English) For measuring concentration of free calcium ([Ca2+]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 Ca2+ dynamics. Because, as chelators, indicator dyes may influence the quantity of interest, the Ca signal, it is important to know its influence on intracellular Ca2+ dynamics quantitatively. In this study, to estimate [Ca2+]i, for the first step, we have proposed a statistical inference method in which [Ca2+]i is inferred by measurements of fluorescence signals and Ca2+ 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 [Ca2+]i and the indicator dye concentration.
Keyword (in Japanese) (See Japanese page) 
(in English) Ca imaging / Ca2+ dynamics / particle filter / self-organizing state-space model / / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 461, NC2009-94, pp. 39-44, March 2010.
Paper # NC2009-94 
Date of Issue 2010-03-02 (NC) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NC2009-94

Conference Information
Committee NC MBE  
Conference Date 2010-03-09 - 2010-03-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Tamagawa University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NC 
Conference Code 2010-03-NC-MBE 
Language Japanese 
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  
Keyword(2) Ca2+ dynamics  
Keyword(3) particle filter  
Keyword(4) self-organizing state-space model  
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1st Author's Name Ryohei Iwahashi  
1st Author's Affiliation Osaka University (Osaka Univ.)
2nd Author's Name Takashi Tateno  
2nd Author's Affiliation Osaka University/PRESTO, Japan Science and Technology Agency (Osaka Univ./JST)
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Speaker Author-1 
Date Time 2010-03-09 13:45:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2009-94 
Volume (vol) vol.109 
Number (no) no.461 
Page pp.39-44 
#Pages 6 
Date of Issue 2010-03-02 (NC) 

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