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Induced mitochondrial membrane potential for modeling solitonic conduction of electrotonic signals

Poznanski, R. R. and Cacha, L. A. and Ali, J. and Rizvi, Z. H. and Yupapin, P. and Salleh, S. H. and Bandyopadhyay, A. (2017) Induced mitochondrial membrane potential for modeling solitonic conduction of electrotonic signals. PLoS ONE, 12 (9). ISSN 1932-6203

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Abstract

A cable model that includes polarization-induced capacitive current is derived for modeling the solitonic conduction of electrotonic potentials in neuronal branchlets with microstructure containing endoplasmic membranes. A solution of the nonlinear cable equation modified for fissured intracellular medium with a source term representing charge ‘soakage’ is used to show how intracellular capacitive effects of bound electrical charges within mitochondrial membranes can influence electrotonic signals expressed as solitary waves. The elastic collision resulting from a head-on collision of two solitary waves results in localized and non-dispersing electrical solitons created by the nonlinearity of the source term. It has been shown that solitons in neurons with mitochondrial membrane and quasi-electrostatic interactions of charges held by the microstructure (i.e., charge ‘soakage’) have a slower velocity of propagation compared with solitons in neurons with microstructure, but without endoplasmic membranes. When the equilibrium potential is a small deviation from rest, the nonohmic conductance acts as a leaky channel and the solitons are small compared when the equilibrium potential is large and the outer mitochondrial membrane acts as an amplifier, boosting the amplitude of the endogenously generated solitons. These findings demonstrate a functional role of quasi-electrostatic interactions of bound electrical charges held by microstructure for sustaining solitons with robust self-regulation in their amplitude through changes in the mitochondrial membrane equilibrium potential. The implication of our results indicate that a phenomenological description of ionic current can be successfully modeled with displacement current in Maxwell’s equations as a conduction process involving quasi-electrostatic interactions without the inclusion of diffusive current. This is the first study in which solitonic conduction of electrotonic potentials are generated by polarization-induced capacitive current in microstructure and nonohmic mitochondrial membrane current.

Item Type:Article
Uncontrolled Keywords:mitochondrial membrane, nerve cell, physiology
Subjects:Q Science > QC Physics
Divisions:Biosciences and Medical Engineering
ID Code:74859
Deposited By: Fazli Masari
Deposited On:08 Mar 2018 05:11
Last Modified:08 Mar 2018 05:11

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