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A New Poisson-Nernst-Planck Model with Ion-Water Interactions for Charge Transport in Ion Channels
1Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC, USA. Duan.Chen@uncc.edu.
Abstract:
In this work, we propose a new Poisson-Nernst-Planck (PNP) model with ion-water interactions for biological charge transport in ion channels. Due to narrow geometries of these membrane proteins, ion-water interaction is critical for both dielectric property of water molecules in channel pore and transport dynamics of mobile ions. We model the ion-water interaction energy based on realistic experimental observations in an efficient mean-field approach. Variation of a total energy functional of the biological system yields a new PNP-type continuum model. Numerical simulations show that the proposed model with ion-water interaction energy has the new features that quantitatively describe dielectric properties of water molecules in narrow pores and are possible to model the selectivity of some ion channels.
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