Estimation of Intracellular Calcium Ion Concentration by Nonlinear State Space Modeling and Expectation-Maximization Algorithm for Parameter Estimation
Estimation of Intracellular Calcium Ion Concentration by Nonlinear State Space Modeling and Expectation-Maximization Algorithm for Parameter Estimation
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DOI：
10.1143/jpsj.79.124801
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发表时间：
2010-11
影响因子：
1.7
通讯作者：
Takamasa Tsunoda;T. Omori;H. Miyakawa;M. Okada;T. Aonishi
中科院分区：
文献类型：
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作者：
Takamasa Tsunoda;T. Omori;H. Miyakawa;M. Okada;T. Aonishi
钙离子成像方法在记录离子浓度的时空变化方面具有优势。然而，它有两个主要问题。首先，成像信号非常嘈杂。其次，观测数据只是ca2 +指示染料的荧光强度，它提供了ca2 +浓度的间接信息。我们开发了一个涉及ca2 +动力学和噪声荧光强度拾取过程的Ca成像系列的非线性状态空间模型。我们设计了用于估计ca2 +浓度和ca2 +通量的递归更新算法，并给出了用于推断模型参数的期望最大化算法。
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 Ca 2+ indicator dyes that provide indirect information about the Ca 2+ 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 Ca 2+ concentration and Ca 2+ flux, and give the expectation-maximization algorithm for inferring model parameters.