On regularization of charge singularities in solving the Poisson-Boltzmann equation with a smooth solute-solvent boundary

DOI10.3934/MBE.2021072zbMath1471.92131OpenAlexW3124955234MaRDI QIDQ1981060

Shan Zhao, Emil Alexov, Siwen Wang

Publication date: 9 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021072

zbMATH Keywords

regularizationPoisson-Boltzmann equationdiffuse interfaceGaussian convolution surfacesalt effectsingular charge source

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40)

Related Items (3)

A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions ⋮ Convergence of a diffuse interface Poisson-Boltzmann (PB) model to the sharp interface PB model: a unified regularization formulation ⋮ Calculation of electrostatic free energy for the nonlinear Poisson-Boltzmann model based on the dimensionless potential

Uses Software

• APBS

Cites Work

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