ArticleThe Journal of general physiology2008
Linking exponential components to kinetic states in Markov models for single-channel gating.
Article in The Journal of general physiology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Using Bayesian priors to overcome non-identifiablility issues in Hidden Markov models.bioRxiv : the preprint server for biology · 2025Article
- Analytical modelling of temperature effects on an AMPA-type synapse.Journal of computational neuroscience · 2018Article
- Energetics of Ion Permeation in an Open-Activated TRPV1 Channel.Biophysical journal · 2016Article
- Computing rates of Markov models of voltage-gated ion channels by inverting partial differential equations governing the probability density functions of the conducting and non-conducting states.Mathematical biosciences · 2016Article
- Article
- Single-channel kinetics of BK (Slo1) channels.Frontiers in physiology · 2014Review
- Exponential sum-fitting of dwell-time distributions without specifying starting parameters.Biophysical journal · 2013Article
- An outline of desensitization in pentameric ligand-gated ion channel receptors.Cellular and molecular life sciences : CMLS · 2013Review
- Activation of α7 nicotinic receptors by orthosteric and allosteric agonists: influence on single-channel kinetics and conductance.Molecular pharmacology · 2012Article
- Modes of glutamate receptor gating.The Journal of physiology · 2012Review
- Voltage- and cold-dependent gating of single TRPM8 ion channels.The Journal of general physiology · 2011Article
- The activation mechanism of alpha1beta2gamma2S and alpha3beta3gamma2S GABAA receptors.The Journal of general physiology · 2010Article
- Kinetic basis of partial agonism at NMDA receptors.Nature neuroscience · 2009Article
- Pregnanolone sulfate promotes desensitization of activated NMDA receptors.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2009Article
- Acute alcohol action and desensitization of ligand-gated ion channels.Pharmacological reviews · 2009Review
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2 authors.
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Abstract
Discrete state Markov models have proven useful for describing the gating of single ion channels. Such models predict that the dwell-time distributions of open and closed interval durations are described by mixtures of exponential components, with the number of exponential components equal to the number of states in the kinetic gating mechanism. Although the exponential components are readily calculated (Colquhoun and Hawkes, 1982, Phil. Trans. R. Soc. Lond. B. 300:1-59), there is little practical understanding of the relationship between components and states, as every rate constant in the gating mechanism contributes to each exponential component. We now resolve this problem for simple models. As a tutorial we first illustrate how the dwell-time distribution of all closed intervals arises from the sum of constituent distributions, each arising from a specific gating sequence. The contribution of constituent distributions to the exponential components is then determined, giving the relationship between components and states. Finally, the relationship between components and states is quantified by defining and calculating the linkage of components to states. The relationship between components and states is found to be both intuitive and paradoxical, depending on the ratios of the state lifetimes. Nevertheless, both the intuitive and paradoxical observations can be described within a consistent framework. The approach used here allows the exponential components to be interpreted in terms of underlying states for all possible values of the rate constants, something not previously possible.
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