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Markov Models of Ion Channels

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Encyclopedia of Computational Neuroscience

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Synonyms

Kinetic schemes; Markov chains

Definition

A Markov model is a simplified phenomenological representation of (bio)physical, chemical, or biological process dynamics, described quantitatively as a set of discrete states and by the ease of transition through time from one state to another.

In chemistry, for instance, a complex reaction can be represented as a kinetic scheme, although ultimately it occurs from the rearrangement of electrons in the bonds between atoms, according to the laws of quantum physics. Nonetheless, for most practical purposes, the changes of the reactants’ concentration and their equilibria can be effectively predicted by a reduced kinetic description, involving simple concepts such as affinity, valence, and reaction rates.

In the context of modeling the ionic permeability of a protein channel and the activation of a (synaptic) membrane receptor, of a transporter, of a second messenger, or of the activity-dependent short-term synaptic plasticity (Destexhe...

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Author information

Authors and Affiliations

  1. Theoretical Neurobiology and Neuroengineering Laboratory, Department of Biomedical Sciences, University of Antwerp, Campus Drie Eiken T 6.57, Universiteitsplein 1, B-2610, Wilrijk, Belgium

    Daniele Linaro & Prof. Michele Giugliano

  2. Department of Computer Science, University of Sheffield, Sheffield, UK

    Prof. Michele Giugliano

  3. Brain Mind Institute, Swiss Federal Institute of Technology of Lausanne, Lausanne, Switzerland

    Prof. Michele Giugliano

Authors
  1. Daniele Linaro
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  2. Prof. Michele Giugliano
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Corresponding author

Correspondence to Michele Giugliano .

Editor information

Editors and Affiliations

  1. Atlanta, Georgia, USA

    Dieter Jaeger

  2. Department of Biomedical Engineering, Florida International University, Miami, Florida, USA

    Ranu Jung

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Linaro, D., Giugliano, M. (2014). Markov Models of Ion Channels. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_131-1

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  • DOI: https://doi.org/10.1007/978-1-4614-7320-6_131-1

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  • Publisher Name: Springer, New York, NY

  • Online ISBN: 978-1-4614-7320-6

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