Relative dielectric constants and selectivity ratios in open ionic channels

Bob Eisenberg, and Weishi Liu. "Relative dielectric constants and selectivity ratios in open ionic channels." Molecular Based Mathematical Biology 5.1 (2017): 125-137. <http://eudml.org/doc/288365>.

@article{BobEisenberg2017,
abstract = {We investigate the effects of the relative dielectric coefficient on ionic flows in open ion channels, using mathematical analysis of reasonably general Poisson-Nernst-Planck type models that can include the finite sizes of ions. The value of the relative dielectric coefficient is of course a crucial parameter for ionic behavior in general. Using the powerful theory of singularly perturbed problems in applied mathematics, we show that some properties of open channels are quite insensitive to variation in the relative dielectric coefficient, thereby explaining such effects seen unexpectedly in simulations. The ratio between the total number of one ion species and that of another ion species, and the ratio between the flux of one ion species and that of another ion species do not depend significantly on the relative dielectric coefficient.},
author = {Bob Eisenberg, Weishi Liu},
journal = {Molecular Based Mathematical Biology},
keywords = {Poisson-Nernst-Planck models; relative dielectric coefficients; selectivity ratios},
language = {eng},
number = {1},
pages = {125-137},
title = {Relative dielectric constants and selectivity ratios in open ionic channels},
url = {http://eudml.org/doc/288365},
volume = {5},
year = {2017},
}

TY - JOUR
AU - Bob Eisenberg
AU - Weishi Liu
TI - Relative dielectric constants and selectivity ratios in open ionic channels
JO - Molecular Based Mathematical Biology
PY - 2017
VL - 5
IS - 1
SP - 125
EP - 137
AB - We investigate the effects of the relative dielectric coefficient on ionic flows in open ion channels, using mathematical analysis of reasonably general Poisson-Nernst-Planck type models that can include the finite sizes of ions. The value of the relative dielectric coefficient is of course a crucial parameter for ionic behavior in general. Using the powerful theory of singularly perturbed problems in applied mathematics, we show that some properties of open channels are quite insensitive to variation in the relative dielectric coefficient, thereby explaining such effects seen unexpectedly in simulations. The ratio between the total number of one ion species and that of another ion species, and the ratio between the flux of one ion species and that of another ion species do not depend significantly on the relative dielectric coefficient.
LA - eng
KW - Poisson-Nernst-Planck models; relative dielectric coefficients; selectivity ratios
UR - http://eudml.org/doc/288365
ER -