constant field equation holds if the uniform charge density in the mem- brane is sufficient to exclude any coions from the membrane Recently Arndt et al
Goldman, Hodgkin, and Katz came up with this simplified model called the constant-field equation They assumed (1) the electric field across the lipid membrane is constant, (2) the Nernst–Planck equation holds within the membrane, and (3) the ions all move independently
ermentrout and terman ch
constant field equation eq 2 where PK , PNa , and P C1 are the membrane permeabilities for K+, Na+, and CI-, respectively The PK [Kli product, for example, is
. F
equations can be set out When there are several ion species, one muststill solve a transcendental equation to relate ion concentrations and the electrical field,
goes to the Nernst equation for that ion Figure 8a shows the voltage and concen- tration profile through the membrane un- der the constant field assumption
Abstract The Poisson–Nernst–Planck (PNP) equations are applied to model the migration test and to approximate the electric field by a constant equal to the
Application of the Poisson Nernst Planck equations to the migration test
of concentration and voltage gradients to the current density carried by single ionic species. Today we know it as the constant-field current equation (Eq.
constant field equation holds if the uniform charge density in the mem- brane is sufficient to exclude any coions from the membrane. Recently. Arndt et al.
The Goldman equation or constant-field equation
Nov 27 2017 The “constant field” or “Goldman-Hodgkin and Katz” current equation is a commonly accepted analytic model of electrodiffusion in channels.
http://www.tapir.caltech.edu/~chirata/ph236/2011-12/lec09.pdf
Jan 22 2017 Keywords: general relativity
Stress-energy tensor. Conservation of energy and momentum. 29 March—Einstein's discovery of the field equation è Derivation of the Field Equations.
Sep 24 2009 By hypothesizing a decomposition of the solution field into a mean and stochastic dynamical component
constant field equation holds if the uniform charge density in the mem- brane is sufficient to exclude any coions from the membrane. Recently. Arndt et al.
It is shown that the field equations of the relativistic gravitational theory and of its five-dimensional generalization do not admit any non-singular
The enduring legacy of the “constant-field equation” in membrane