06/16/2026
Join us next Friday, June 26th from 2:00pm-3:30pm in EMS W109, for Liam Jemison's PhD Dissertation Defense!
Title:
A Nonlocal Size Modified Poisson-Boltzmann Ion Channel Model and Parallel Finite Element Solver
Abstract:
We introduce the first nonlocal Poisson–-Boltzmann Ion Channel (NPBIC) model and corresponding finite element solver for three-dimensional ion channel–membrane systems in solvents with multiple ionic species. Although the NPBIC model presents numerical challenges caused by strong nonlinearities, nonlocal convolution terms, discontinuous interface conditions, and solution singularities induced by atomic point charges, we develop a novel decomposition technique for solving the model. We present a parallel NPBIC finite element solver package, and a host of numerical experiments and validation.