# Relative dielectric constants and selectivity ratios in open ionic channels

Molecular Based Mathematical Biology (2017)

- Volume: 5, Issue: 1, page 125-137
- ISSN: 2299-3266

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topBob 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 -

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