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Temperature dependent transitions in excitability predicted by an electrodiffusion model of membrane potential

  • Juan R Melendez-Alvarez1Email author,
  • Erin C McKiernan2 and
  • Marco Arieli Herrera Valdez1, 2
BMC Neuroscience201213(Suppl 1):P85

https://doi.org/10.1186/1471-2202-13-S1-P85

Published: 16 July 2012

Keywords

Model NeuronSynaptic InputBifurcation AnalysisBifurcation ParameterTransmembrane Transport

Temperature affects cellular function in different ways that include the transmembrane transport of ions and the kinetics of membrane spanning proteins mediating such transport. Electrodiffusion models of membrane potential [1, 2]can be used to study the temperature dependence of the kinetics of the channels and the transmembrane diffusion of ions. In turn, channel kinetics and transmembrane diffusion may cause significant changes in the dynamics of a model neuronal membrane. We constructed a two-dimensional biophysical electrodiffusion model to study the specific effects on the excitability profiles of the model neuron as a function of temperature. The formulations of the model allows an analysis that can be interpreted in terms of patterns of ion channel expression [3, 4]. A change in the variables of the system unravels the model to be rewritten so that only one of the variables is temperature-dependent. We use bifurcation analysis to map the possible excitability profiles of the model neuron . To do so, we use an external current stimulus as a bifurcation parameter, for a range of temperatures and for different patterns of ion channel expression. The bifurcation structure of the model is used to generate basic intuition and explanations for the respose profiles of the model neuron subject to stimuli that includes square pulses, ramps, and synaptic input. We identify parameter regimes associated with specific patterns of ion channel expression in which the excitability of the membrane undergoes significant changes. We identify possible compensation mechanisms not requiring enzymatic actions that may underlie the regularization of cellular function within the nervous systems of animals exposed to different temperatures.

Declarations

Acknowledgements

The authors thank faculty and staff of the Institute of Interdisciplinary Research for their support. This work was supported in part by the Building Research Infrastructure and Capacity (BRIC) program at UPR-Cayey (P20 MD006144) through the National Institute of Minority Health and Health Disparities.

Authors’ Affiliations

(1)
Department of Mathematics and Physics, University of Puerto Rico at Cayey, Cayey, USA
(2)
Institute of Interdisciplinary Research, University of Puerto Rico at Cayey, Cayey, USA

References

  1. Endresen LP, Hall K, Hoye JS, Myrheim J: A theory for the membrane potential of living cells. European Journal of Biophysics. 2000, 29: 90-103. 10.1007/s002490050254.View ArticleGoogle Scholar
  2. Herrera-Valdez MA: Geometry of reduced biophysical models of membrane potential. Dissertation, University of Arizona. 2012Google Scholar
  3. Herrera-Valdez MA: Membranes with the same ion channel populations but different excitabilities. In review. 2012Google Scholar
  4. Herrera-Valdez MA, McKiernan EC, Berger SD, Ryglewski S, Duch C, Crook S: Relating ion channel expression, bifurcation structure, and diverse firing patterns in a model of an identified motor neuron. In review. 2012Google Scholar

Copyright

© Melendez-Alvarez et al; licensee BioMed Central Ltd. 2012

This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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