Estimation of intracellular calcium ion concentration by nonlinear state space modeling

Takamasa Tsunoda; Toshiaki Omori; Hiroyoshi Miyakawa; Masato Okada; Toru Aonishi

Estimation of intracellular calcium ion concentration by nonlinear state space modeling

Takamasa Tsunoda, Toshiaki Omori, Hiroyoshi Miyakawa, Masato Okada, Toru Aonishi

SCI - Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

Calcium imaging method has superior ability in recording of spatial-temporal variations of ion concentrations. However, it has two major problems. First, the imaging signals are too noisy. Second, the observation data are the fluorescent intensities of Ca²⁺ indicator dyes that are only indirect information about the Ca²⁺ concentration. We made a nonlinear state-space model for Ca imaging series involving Ca²⁺ kinetics and a noisy fluorescent intensity pickup process. We devised a recursive update algorithm for estimating the Ca²⁺ concentration and Ca influx and gave the EM algorithm for inferring model parameters.

Original language	English
Publication status	Published - 2009 Jan 1
Event	Asia Simulation Conference 2009, JSST 2009 - Shiga, Japan Duration: 2009 Oct 7 → 2009 Oct 9

Other

Other	Asia Simulation Conference 2009, JSST 2009
Country/Territory	Japan
City	Shiga
Period	09/10/7 → 09/10/9

Keywords

Ca imaging
Nonlinear state-space model

ASJC Scopus subject areas

Modelling and Simulation

Cite this

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title = "Estimation of intracellular calcium ion concentration by nonlinear state space modeling",

abstract = "Calcium imaging method has superior ability in recording of spatial-temporal variations of ion concentrations. However, it has two major problems. First, the imaging signals are too noisy. Second, the observation data are the fluorescent intensities of Ca2+ indicator dyes that are only indirect information about the Ca2+ concentration. We made a nonlinear state-space model for Ca imaging series involving Ca2+ kinetics and a noisy fluorescent intensity pickup process. We devised a recursive update algorithm for estimating the Ca2+ concentration and Ca influx and gave the EM algorithm for inferring model parameters.",

keywords = "Ca imaging, Nonlinear state-space model",

author = "Takamasa Tsunoda and Toshiaki Omori and Hiroyoshi Miyakawa and Masato Okada and Toru Aonishi",

year = "2009",

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language = "English",

note = "Asia Simulation Conference 2009, JSST 2009 ; Conference date: 07-10-2009 Through 09-10-2009",

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TY - CONF

T1 - Estimation of intracellular calcium ion concentration by nonlinear state space modeling

AU - Tsunoda, Takamasa

AU - Omori, Toshiaki

AU - Miyakawa, Hiroyoshi

AU - Okada, Masato

AU - Aonishi, Toru

PY - 2009/1/1

Y1 - 2009/1/1

N2 - Calcium imaging method has superior ability in recording of spatial-temporal variations of ion concentrations. However, it has two major problems. First, the imaging signals are too noisy. Second, the observation data are the fluorescent intensities of Ca2+ indicator dyes that are only indirect information about the Ca2+ concentration. We made a nonlinear state-space model for Ca imaging series involving Ca2+ kinetics and a noisy fluorescent intensity pickup process. We devised a recursive update algorithm for estimating the Ca2+ concentration and Ca influx and gave the EM algorithm for inferring model parameters.

AB - Calcium imaging method has superior ability in recording of spatial-temporal variations of ion concentrations. However, it has two major problems. First, the imaging signals are too noisy. Second, the observation data are the fluorescent intensities of Ca2+ indicator dyes that are only indirect information about the Ca2+ concentration. We made a nonlinear state-space model for Ca imaging series involving Ca2+ kinetics and a noisy fluorescent intensity pickup process. We devised a recursive update algorithm for estimating the Ca2+ concentration and Ca influx and gave the EM algorithm for inferring model parameters.

KW - Ca imaging

KW - Nonlinear state-space model

UR - http://www.scopus.com/inward/record.url?scp=84903839372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84903839372&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:84903839372

T2 - Asia Simulation Conference 2009, JSST 2009

Y2 - 7 October 2009 through 9 October 2009

ER -

Estimation of intracellular calcium ion concentration by nonlinear state space modeling

Abstract

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Keywords

ASJC Scopus subject areas

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