A conservative finite difference scheme for Poisson–Nernst–Planck equations

A mathematical model for the hard sphere repulsion in ionic solutions

(2013) Bob Eisenberg et al.   Communications in Mathematical Sciences

Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations

(2012) Bas van’t Hof et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method

(2012) E. Celledoni et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions

(2012) Travis C. Fisher et al.   JOURNAL OF COMPUTATIONAL PHYSICS

PNP Equations with Steric Effects: A Model of Ion Flow through Channels

(2012) Tzyy-Leng Horng et al.   JOURNAL OF PHYSICAL CHEMISTRY B

A Conservative Mesh-Free Scheme and Generalized Framework for Conservation Laws

(2012) Edmond Kwan-yu Chiu et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Variational Multiscale Models for Charge Transport

(2012) Guo-Wei Wei et al.   SIAM REVIEW

Electrodiffusion model simulation of the potassium channel

(2011) Carl L. Gardner et al.   JOURNAL OF THEORETICAL BIOLOGY

An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models

(2011) Zhonghua Qiao et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

New Poisson–Boltzmann type equations: one-dimensional solutions

(2010) Chiun-Chang Lee et al.   NONLINEARITY

Computational Modeling of Three-Dimensional Electrodiffusion in Biological Systems: Application to the Node of Ranvier

(2008) Courtney L. Lopreore et al.   BIOPHYSICAL JOURNAL

Energetics of Divalent Selectivity in a Calcium Channel: The Ryanodine Receptor Case Study

(2007) Dirk Gillespie   BIOPHYSICAL JOURNAL