Stochastic models for ion channels: Introduction and bibliography

DOI10.1016/0025-5564(92)90023-PzbMath0767.92007WikidataQ35165851 ScholiaQ35165851MaRDI QIDQ1802896

John A. Rice, Frank G. Ball

Publication date: 29 June 1993

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

stochastic modelsstatistical analysisintroductionoverviewcell membranesextensive bibliographystudy of ion channels

Mathematics Subject Classification ID

Physiology (general) (92C30) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to biology (92-00)

Related Items (10)

Discontinuous bubble immersed finite element method for Poisson-Boltzmann-Nernst-Planck model ⋮ Robust inference and modelling for the single ion channel ⋮ SPRT and CUSUM in hidden Markov models ⋮ Particle-based likelihood inference in partially observed diffusion processes using generalised Poisson estimators ⋮ Efficient likelihood estimation in state space models ⋮ Deterministic modeling of single-channel and whole-cell currents ⋮ A geometric comparison of single chain multi-state models of ion channel gating ⋮ Estimation in hidden Markov models via efficient importance sampling ⋮ On-Line Inference for Hidden Markov Models via Particle Filters ⋮ Model selection and parameter estimation for ion channel recordings with an application to the \(K^{+}\) outward-rectifier in barley leaf

Cites Work

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• Graphs, random sums, and sojourn time distributions, with application to ion-channel modeling
• Renewal theory properties of ion channels
• Statistical properties of the asymmetric random telegraph signal, with applications to single-channel analysis
• Correlation functions of a function of a finite-state Markov process with application to channel kinetics
• Analysis of fractal ion channel gating kinetics: Kinetic rates, energy levels, and activation energies
• Modelling of drug receptor interaction with birth and death processes
• Estimation of open dwell time and problems of identifiability in channel experiments
• Statistical analysis of multiple ion channel data
• Ion channel kinetics: A model based on fractal scaling rather than multistate Markov processes
• A note on single-channel autocorrelation functions
• Aggregated Markov processes with negative exponential time interval omission
• WEIGHTED AREA TECHNIQUES FOR EXPLICIT PARAMETER ESTIMATION IN MULTI-STAGE MODELS
• On aggregated Markov processes
• Aggregated Markov processes incorporating time interval omission
• Aggregated semi-Markov processes incorporating time interval omission
• The distribution of apparent occupancy times in a two-state Markov process in which brief events cannot be detected
• Generalised eigenproblems arising in aggregated markov processes allowing for time interval omission
• MAXIMUM LIKELIHOOD ESTIMATION OF PARAMETERS IN RENEWAL AND MARKOV-RENEWAL PROCESSES
• Lumpability and marginalisability for continuous-time Markov chains
• On the exact distribution of observed open times in single ion channel models
• The distributions of the apparent open times and shut times in a single channel record when brief events cannot be detected
• Probabilistic Functions of Finite State Markov Chains
• A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
• Functions of Markov Chains
• On the Identifiability Problem for Functions of Finite Markov Chains
• On the Identifiability Problem for Functions of Finite Markov Chains

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