[Comp-neuro] Cable Theory of Protein Polarization

Prof Dr Roman Richard Poznanski roman at utar.edu.my
Mon Jan 7 08:00:29 CET 2013


A new cable theory of protein polarization where intracellular dendritic proteins play a role in spatiotemporal signaling and conduction. Write to me for a reprint.


JOURNAL OF INTEGRATIVE NEUROSCIENCE, Vol. 11, No.4 (December 2012)
http://www.worldscientific.com/toc/jin/0/0

Intracellular capacitive effects of polarized proteins in dendrites
R. R. Poznanski and L. A. Cacha

Passive dendrites become active as a result of electrostatic interactions by dielectric polarization in proteins in a segment of a dendrite. The resultant nonlinear cable equation for a cylindrical volume representation of a dendritic segment is derived from Maxwell's equations under assumptions: (i) the electric field is restricted longitudinally along the cable length; (ii) extracellular isopotentiality; (iii) quasi-electrostatic conditions; (iv) isotropic membrane and homogeneous medium with constant conductivity; and (v) protein polarization contributes to intracellular capacitive effects through a well defined nonlinear capacity-voltage characteristic; (vi) intracellular resistance and capacitance in parallel are connected to the membrane in series. Under the above hypotheses, traveling wave solutions of the cable equation are obtained as propagating fronts of electrical excitation associated with capacitive charge-equalization and dispersion of continuous polarization !
 charge densities in an Ohmic cable. The intracellular capacitative effects of polarized proteins in dendrites contribute to the conduction process.

Keywords: Maxwell's equations: cable theory; polarization field; dendritic conduction; voltage-dependent capacitance; dielectric polarization


--------
Roman R. Poznanski
Professor 
Office: D218(Block D)2nd Floor 
Universiti Tunku Abdul Rahman (UTAR)
Department of Physical & Mathematical Science
Faculty of Science
31900 Kampar, Perak
Malaysia
Office: (+605)468-8888 Ext. 2289
E-mail: roman at utar.edu.my
http://romanpoznanski.blogspot.com
and
Chief-Editor,
Journal of Integrative Neuroscience
http://www.worldscinet.com/jin/mkt/editorial.shtml





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