Capturing membrane structure and function in lattice Boltzmann models
Abstract
We develop a mesoscopic approach to model the non-equilibrium behavior of membranes at the cellular scale. Relying on lattice Boltzmann methods, we develop a solution procedure to recover the Nernst-Planck equations and Gauss's law. A general closure rule is developed to describe mass transport across the membrane, which is able to account for protein-mediated diffusion based on a coarse-grained representation. We demonstrate that our model is able to recover the Goldman equation from first principles and show that hyper-polarization occurs when membrane charging dynamics are controlled by multiple relaxation timescales. The approach provides a promising way to characterize non-equilibrium behaviors that arise due to the role of membranes in mediating transport based on realistic three-dimensional cell geometries.
Cite
@article{arxiv.2208.14122,
title = {Capturing membrane structure and function in lattice Boltzmann models},
author = {James E. McClure and Zhe Li},
journal= {arXiv preprint arXiv:2208.14122},
year = {2023}
}