20 citations · 31 across the 6 of their papers we have counts for
6 papers
An Extension of Goldman-Hodgkin-Katz Equations by Charges from Ionic Solution and Ion Channel Protein
Dexuan Xie
The Goldman-Hodgkin-Katz (GHK) equations have been widely applied to ion channel studies, simulations, and model developments. However, they are constructed under a constant electr…
Efficient Generation of Membrane and Solvent Tetrahedral Meshes for Ion Channel Finite Element Calculation
Zhen Chao, Sheng Gui, Benzhuo Lu +1
A finite element solution of an ion channel dielectric continuum model such as Poisson-Boltzmann equation (PBE) and a system of Poisson-Nernst-Planck equations (PNP) requires tetra…
An Efficient Finite Element Iterative Method for Solving a Nonuniform Size Modified Poisson-Boltzmann Ion Channel Model
Dexuan Xie
In this paper, a nonuniform size modified Poisson-Boltzmann ion channel (nuSMPBIC) model is presented as a nonlinear system of an electrostatic potential and multiple ionic concent…
Poisson-Fermi Formulation of Nonlocal Electrostatics in Electrolyte Solutions
Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg
We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correla…
A Hybrid Solver of Size Modified Poisson-Boltzmann Equation by Domain Decomposition, Finite Element, and Finite Difference
Jinyong Ying, Dexuan Xie
The size-modified Poisson-Boltzmann equation (SMPBE) is one important variant of the popular dielectric model, the Poisson-Boltzmann equation (PBE), to reflect ionic size effects i…
A Nonlocal Poisson-Fermi Model for Ionic Solvent
Dexuan Xie, Jinn-Liang Liu, Bob Eisenberg +1
We propose a nonlocal Poisson-Fermi model for ionic solvent that includes ion size effects and polarization correlations among water molecules in the calculation of electrostatic p…