Estimation of Intracellular Calcium Ion Concentration by Nonlinear State Space Modeling and Expectation-Maximization Algorithm for Parameter Estimation
スポンサーリンク
概要
- 論文の詳細を見る
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 Ca2+ kinetics and a noisy fluorescence intensity pickup process. We devise recursive update algorithms for estimating the Ca2+ concentration and Ca2+ flux, and give the expectation-maximization algorithm for inferring model parameters.
- 2010-12-15
著者
-
MIYAKAWA Hiroyoshi
School of Life Science, Tokyo University of Pharmacy and Life Science
-
Okada Masato
Graduate School Of Engineering Science Osaka University
-
Okada Masato
Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan
-
Tsunoda Takamasa
Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, 4259 Nagatsuta-cho, Midori-ku, Yokohama 226-8503, Japan
-
Omori Toshiaki
Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan
-
Aonishi Toru
Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology, 4259 Nagatsuta-cho, Midori-ku, Yokohama 226-8503, Japan
-
Omori Toshiaki
Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561
-
Miyakawa Hiroyoshi
School of Life Science, Tokyo University of Pharmacy and Life Science, 1432-1 Horinouchi, Hachiohji, Tokyo 192-0392, Japan
-
Aonishi Toru
Interdisciplinary Graduate School of Science and Engineering, Tokyo Institute of Technology
-
Omori Toshiaki
Graduate School of Engineering, Kobe University
関連論文
- Statistical Mechanical Study of Code-Division Multiple-Access Multiuser Detectors : Analysis of Replica Symmetric and One-Step Replica Symmetry Breaking Solutions(General)
- Statistical Mechanical Analysis of CDMA Multiuser Detectors : AT Stability and Entropy of the RS Solution, and 1RSB Solution
- Fluo-3 as an Extracellular Ca^ Indicator : Warning on the Use of the Dye for Slice Preparations
- Retrieval Property of Attractor Network with Synaptic Depression(General)
- Analysis of Ensemble Learning Using Simple Perceptrons Based on Online Learning Theory
- Effects of Bifemelane on the Calcium Level and ATP Release of the Human Origin Astrocyte Clonal Cell
- Ca^-Dependent Induction of Intracellular Ca^ Oscillation in Hippocampal Astrocytes During Metabotropic Glutamate Receptor Activation
- Expression of Group I Metabotropic Glutamate Receptors in Rat Hippocampal Cells in Culture and Their Characterization by Intracellular Calcium Ion Dynamics
- Retrieval of Branching Sequences in an Associative Memory Model with Common External Input and Bias Input(Cross-disciplinary physics and related areas of science and technology)
- Residual Energies after Slow Quantum Annealing(General)
- Multiple Stability of a Sparsely Encoded Attractor Neural Network Model for the Inferior Temporal Cortex(General)
- Image Restoration with a Truncated Gaussian Model(General)
- Statistical Mechanics of On-line Node-perturbation Learning
- Effects of Mannitol on Ischemia-Induced Degeneration in Rat Hippocampus
- Ensemble Learning of Linear Perceptrons : On-Line Learning Theory(General)
- Analysis of XY Model with Mexican-Hat Interaction on a Circle
- Exact Inference in Discontinuous Firing Rate Estimation Using Belief Propagation
- Influence of Synaptic Depression on Memory Storage Capacity
- Neural Network Model of Spatial Memory: Associative Recall of Maps
- Statistical Mechanics of On-Line Mutual Learning with Many Linear Perceptrons
- Statistical Mechanics of Mutual Learning with a Latent Teacher(General)
- Mean Field Analysis of Stochastic Neural Network Models with Synaptic Depression
- Rate Reduction for Associative Memory Model n Hodgkin-Huxley-Type Network(Cross-disciplinary physics and related areas of science and technology)
- Higher Order Effects on Rate Reduction for Networks of Hodgkin-Huxley Neurons(Cross-disciplinary physics and related areas of science and technology)
- Estimation of Intracellular Calcium Ion Concentration by Nonlinear State Space Modeling and Expectation-Maximization Algorithm for Parameter Estimation
- Neural Network Model with Discrete and Continuous Information Representation
- Estimating Membrane Resistance over Dendrite Using Markov Random Field
- Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses
- Analysis of XY Model with Mexican-Hat Interaction on a Circle ---Derivation of Saddle Point Equations and Study of Bifurcation Structure---
- Solvable Model of a Phase Oscillator Network on a Circle with Infinite-Range Mexican-Hat-Type Interaction
- Multiple Stability of a Sparsely Encoded Attractor Neural Network Model for the Inferior Temporal Cortex
- Image Segmentation and Restoration Using Switching State-Space Model and Variational Bayesian Method
- Statistical Mechanical Analysis of CDMA Multiuser Detectors : AT Stability and Entropy of the RS Solution, and 1RSB Solution
- Stability Analysis of Attractor Neural Network Model of Inferior Temporal Cortex —Relationship between Attractor Stability and Learning Order—
- Bayesian Image Restoration for Medical Images Using Radon Transform
- Statistical Mechanics of Mexican-Hat-Type Horizontal Connection
- Statistical Mechanics of Node-Perturbation Learning for Nonlinear Perceptron
- Inter-Layer Correlation in a Feed-Forward Network with Intra-Layer Common Noise
- Continuous Attractor that Appears in Autoassociative Memory Model Extended to XY Spin System
- Statistical–Mechanical Analysis of Attractor Dynamics in a Hysteretic Neuron Network
- A Numerical Analysis of Learning Coefficient in Radial Basis Function Network
- Properties of Associative Memory Model with the β-th-order Synaptic Decay
- Inter-Layer Correlation in a Feed-Forward Network with Intra-Layer Common Noise
- Analysis of Ensemble Learning Using Simple Perceptrons Based on Online Learning Theory