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Andrew Gillette : Multiscale Diffusion Modeling in Charged and Crowded Biological Environments (Sep 12, 2014 11:55 AM)

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).

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