# Andrew Gillette : Multiscale Diffusion Modeling in Charged and Crowded Biological Environments

The macroscopic diffusion constant for small ions in biological environments is in part dependent on the volume excluded by diffusional barriers and by long-range interactions between those barriers and the ion. Increasing excluded volume reduces diffusive transport of the solute, while long-range interactions can either increase or decrease diffusivity, depending on the nature of the potential. My colleagues and I have developed a computational methodology for studying these effects via a homogenized finite element method for the Smoluchowski equation. I will introduce the relevant background, both biological and mathematical, and present our recent results. This work is joint with Peter Kekenes-Huskey (U. Kentucky) and J. Andrew McCammon (UC San Diego).

**Category**: Mathematical Biology**Duration**: 01:14:49**Date**: September 12, 2014 at 11:55 AM**Views**: 116-
**Tags:**seminar, Mathematical Biology Seminar

## 0 Comments