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A Finite Element Solution of Lateral Periodic Poisson-Boltzmann Model for Membrane Channel Proteins 期刊论文
INTERNATIONAL JOURNAL OF MOLECULAR SCIENCES, 2018, 卷号: 19, 期号: 3, 页码: 17
作者:  Ji, Nan;  Liu, Tiantian;  Xu, Jingjie;  Shen, Longzhu Q.;  Lu, Benzhuo
收藏  |  浏览/下载：178/0  |  提交时间：2018/07/30
laterally periodic Poisson-Boltzmann model  finite element method  membrane channel proteins  pore region  solvation  
ANALYSIS OF THE MEAN FIELD FREE ENERGY FUNCTIONAL OF ELECTROLYTE SOLUTION WITH NONHOMOGENOUS BOUNDARY CONDITIONS AND THE GENERALIZED PB/PNP EQUATIONS WITH INHOMOGENEOUS DIELECTRIC PERMITTIVITY 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 2, 页码: 1131-1154
作者:  Liu, Xuejiao;  Qiao, Yu;  Lu, Benzhou
收藏  |  浏览/下载：172/0  |  提交时间：2018/07/30
free energy functional  electrolyte  boundary conditions  variable dielectric  generalized Poisson-Nernst-Planck/Poisson-Boltzmann equations  energy law  
A Local Approximation of Fundamental Measure Theory Incorporated into Three Dimensional Poisson-Nernst-Planck Equations to Account for Hard Sphere Repulsion Among Ions 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2016, 卷号: 163, 期号: 1, 页码: 156-174
作者:  Qiao, Yu;  Liu, Xuejiao;  Chen, Minxin;  Lu, Benzhuo
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Hard sphere repulsion  Three dimensional fundamental measure theory  Poisson-Nernst-Planck equations  Size-modified PNP  Equation of state  
Poisson-Nernst-Planck Equations for Simulating Biomolecular Diffusion-Reaction Processes II: Size Effects on Ionic Distributions and Diffusion-Reaction Rates 期刊论文
BIOPHYSICAL JOURNAL, 2011, 卷号: 100, 期号: 10, 页码: 2475-2485
作者:  Lu, Benzhuo;  Zhou, Y. C.
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 卷号: 229, 期号: 19, 页码: 6979-6994
作者:  Lu, Benzhuo;  Holst, Michael J.;  McCammon, J. Andrew;  Zhou, Y. C.
收藏  |  浏览/下载：146/0  |  提交时间：2018/07/30
Electrodiffusion  Poisson-Nernst-Planck equations  Finite element  Singular charges  Molecular surface  Boundary condition  Conditioning