An improved Poisson‐Nernst‐Planck ion channel model and numerical studies on effects of boundary conditions, membrane charges, and bulk concentrations

2021 ◽  
Author(s):  
Zhen Chao ◽  
Dexuan Xie
Keyword(s):  
Boundary Conditions ◽  
Ion Channel ◽  
Channel Model ◽  
Numerical Studies ◽  
Ion Channel Model

scholarly journals Image Charge Method for Reaction Fields in a Hybrid Ion-Channel Model

2011 ◽  
Vol 9 (4) ◽  
pp. 1056-1070 ◽  
Author(s):  
Zhenli Xu ◽  
Wei Cai ◽  
Xiaolin Cheng
Keyword(s):  
Boundary Conditions ◽  
Ion Channel ◽  
Electrostatic Interactions ◽  
Channel Model ◽  
Field Potential ◽  
Image Method ◽  
Optimization Approach ◽  
Inhomogeneous System ◽  
Reaction Field ◽  
Ion Channel Model

AbstractA multiple-image method is proposed to approximate the reaction-field potential of a source charge inside a finite length cylinder due to the electric polarization of the surrounding membrane and bulk water. When applied to a hybrid ion-channel model, this method allows a fast and accurate treatment of the electrostatic interactions of protein with membrane and solvent. To treat the channel/membrane interface boundary conditions of the electric potential, an optimization approach is used to derive image charges by fitting the reaction-field potential expressed in terms of cylindric harmonics. Meanwhile, additional image charges are introduced to satisfy the boundary conditions at the planar membrane interfaces. In the end, we convert the electrostatic interaction problem in a complex inhomogeneous system of ion channel/membrane/water into one in a homogeneous free space embedded with discrete charges (the source charge and image charges). The accuracy of this method is then validated numerically in calculating the solvation self-energy of a point charge.

scholarly journals A New Neuron Ion Channel Model Under Time Varying Input Currents

2021 ◽  
Vol 1999 (1) ◽  
pp. 012127
Author(s):  
Ahmed Mahmood Khudhur ◽  
Ahmed M Shano ◽  
Abdul Salam Hassan Abbas
Keyword(s):  
Ion Channel ◽  
Channel Model ◽  
Time Varying ◽  
Ion Channel Model

Possible ion channel model in crystals of Leu-zervamicin

Peptides ◽  
1992 ◽  
pp. 171-173 ◽  
Author(s):  
I. L. Karle ◽  
J. L. Flippen-Anderson ◽  
S. Agarwalla ◽  
P. Balaram
Keyword(s):  
Ion Channel ◽  
Channel Model ◽  
Ion Channel Model
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