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Computation 2014, 2(2), 47-60; doi:10.3390/computation2020047

Can the Thermodynamic Hodgkin-Huxley Model of Voltage-Dependent Conductance Extrapolate for Temperature?

1
Department of Computer Science, University of Warwick, Coventry, CV4 7AL, UK
2
Institute for Adaptive and Neural Computation, School of Informatics, University of Edinburgh, Edinburgh, EH1 2QL, UK 
Received: 25 February 2014 / Revised: 12 April 2014 / Accepted: 4 May 2014 / Published: 14 May 2014
(This article belongs to the Section Computational Biology)
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Abstract

Hodgkin and Huxley (H-H) fitted their model of voltage-dependent conductances to experimental data using empirical functions of voltage. The thermodynamic H-H model of voltage dependent conductances is more physically plausible, as it constrains and parameterises its empirical fit by assuming that ion channel transition rates depend exponentially on a free energy barrier that in turn, linearly or non-linearly, depends on voltage. The original H-H model contains no explicit temperature terms and requires Q10 factors to describe data at different temperatures. The thermodynamic H-H model does have explicit terms for temperature. Do these endow the model with extrapolation for temperature? We utilised voltage clamp data for a voltage-gated K+ current, recorded at three different temperatures. The thermodynamic H-H model’s free parameters were fitted (Marquardt-Levenberg algorithm) to a data set recorded at one (or more) temperature(s). Then we assessed whether it could describe another data set, recorded at a different temperature, with these same free parameter values and its temperature terms set to the new temperature. We found that it could not. View Full-Text
Keywords: thermodynamic; Hodgkin-Huxley; model; voltage; temperature; computational neuroscience; action potential; Q10; transition state thermodynamic; Hodgkin-Huxley; model; voltage; temperature; computational neuroscience; action potential; Q10; transition state
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Forrest, M.D. Can the Thermodynamic Hodgkin-Huxley Model of Voltage-Dependent Conductance Extrapolate for Temperature? Computation 2014, 2, 47-60.

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