Abstract
AbstractAlmost seventy years after the discovery of the mechanisms of action potential generation, some aspects of their computational consequences are still not fully understood. Based on mathematical modeling, we here explore a type of action potential dynamics – arising from a saddle-node homoclinic orbit bifurcation - that so far has received little attention. We show that this type of dynamics is to be expected by specific changes in common physiological parameters, like an elevation of temperature. Moreover, we demonstrate that it favours synchronization patterns in networks – a feature that becomes particularly prominent when system parameters change such that homoclinic spiking is induced. Supported by in-vitro hallmarks for homoclinic spikes in the rodent brain, we hypothesize that the prevalence of homoclinic spikes in the brain may be underestimated and provide a missing link between the impact of biophysical parameters on abrupt transitions between asynchronous and synchronous states of electrical activity in the brain.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Biochemistry, Genetics and Molecular Biology,General Chemistry,Multidisciplinary
Reference52 articles.
1. Bernstein, J. Ueber den zeitlichen Verlauf der negativen Schwankung des Nervenstroms. Arch. f.ür. die Gesamt. Physiologie des. Menschen und der Tiere 1, 173 (1868).
2. Hodgkin, A. L. & Huxley, A. F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117, 500 (1952).
3. Rinzel, J. & Ermentrout, G. B. Analysis of neural excitability and osciallations. In Methods in neuronal modeling: From synapses to networks (eds Koch, C. & Segev, I.) 2 edn, 251–291 (MIT Press, Cambridge MA, 1998).
4. Ermentrout, G. B. Type I membranes, phase resetting curves, and synchrony. Neural Comput. 8, 979 (1996).
5. Izhikevich, E. M. Dynamical Systems in Neuroscience (MIT Press, 2007).
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