Estimation of intracellular calcium ion concentration by nonlinear state space modeling and expectation-maximization algorithm for parameter estimation

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

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

A calcium imaging method has superior ability in recording of spatial-temporal variations in ion concentration. However, it has two major problems. First, the imaging signals are very noisy. Second, the observation data are only the fluorescence intensities of Ca2+ indicator dyes that provide indirect information about the Ca2+ concentration. We develop a nonlinear state-space model for Ca imaging series involving Ca 2+ kinetics and a noisy fluorescence intensity pickup process. We devise recursive update algorithms for estimating the Ca2+ concentration and Ca2+ flux, and give the expectationmaximization algorithm for inferring model parameters.

Original languageEnglish
Article number124801
Journaljournal of the physical society of japan
Volume79
Issue number12
DOIs
Publication statusPublished - 2010 Dec 1

Keywords

  • Ca flux
  • Ca imaging
  • Intracellular Ca concentration
  • Nonlinear state-space model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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