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A Fundamental Question About Electrical Potential Profile in Interfacial Region of Biological Membrane Systems

  • V. S. Vaidhyanathan

Abstract

It is generally presumed, that if a plane plate is positively charged, its potential is positive and that if a plate contains an excess of negative charges, its potential is negative. One may assume that the distribution of positive and negative ions, near a surface with an excess of fixed negative charges, is similar to the schematic representation presented in Figure 1a. In Figure 1 b, are presented the corresponding plots of charge density, and a function \( Y(x) = - 4\pi e\sum\limits_{\sigma } {{z_{\sigma }}{c_{\sigma }}(x)} \), where Zσ is the signed valence charge number of ions of kind σ, and cσ(x) is its number density (concentration in a small volume element) at location x. e is the protonic charge and \( Y(x) = \in (x)\phi ''(x) + \in '(x) \), where <Emphasis Type=“NonProportional”>E</Emphasis>(x) is the value of the dielectric coefficient at x, and <Emphasis Type=“NonProportional”>E</Emphasis>′(x) = [d<Emphasis Type=“NonProportional”>E</Emphasis>/dx] is its first differential with respect to position variable x. ∅(x) is the value of electric potential felt by a unit charge placed at x. ∅′(x) and ∅″(x) are respectively the first and second differentials of ∅, with respect to x. If the above stated statements are valid, then one may presume that the electric potential profile in interfacial regions, will be similar to the schematic plot ∅(x), presented in Figure 1 c.

Keywords

Interfacial Region Electrolyte System Taylor Coefficient Inhomogeneous Region Molecular Integral 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • V. S. Vaidhyanathan
    • 1
  1. 1.Department of Biophysical Sciences School of MedicineState University of New York at BuffaloBuffaloUSA

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