A non-extensive statistical mechanical approach to define the equilibrium value function in the kinetics of voltage-gated ion channels |
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| Affiliation: | 1. Department of Chemistry, Jamia Millia Islamia (Central University), New Delhi 110025, India;2. Department of Chemistry, College of Science, King Saud University, Riyadh 11451, Saudi Arabia;3. Biology Department, Faculty of Sciences, Taibah University, P.O. Box 30002, Madinah Al-Munawarah 41477, Saudi Arabia;1. National Children''s Research Centre, Our Lady''s Children''s Hospital Crumlin, Gate 5, Dublin 12, Dublin, Ireland;2. Department of Pediatric Surgery, Hannover Medical School, Carl-Neuberg-Str. 1, 30625 Hannover, Germany;3. School of Medicine and Medical Science and Conway Institute of Biomedical Research, University College Dublin, Belfield, Dublin 4, Dublin, Ireland |
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| Abstract: | We present a model for the steady-state (or equilibrium) behaviors of the voltage-gated ion channels in cell membranes using the non-extensive or generalized statistical mechanics. The equilibrium value function in the gating kinetics of batrachotoxin-modified sodium channels from a squid optic nerve in planar bilayers are calculated for different values of entropic index (q) which characterizes the degree of non-extensivity of Tsallis’ entropy and the fractal structure of the channels. It is found that in the limit q→1, the results of calculation reduce to the results described by the well-known Boltzmann statistics or the extensive physics. For the non-extensive case (q≠1), a small deviation with respect to the Boltzmann curve which was observed in a great variety of physical systems occurred. |
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