Department of Nanomedicine
The Methodist Hospital Research Institute, Houston
Department of Computer Science
University of Houston
Computational models for convective and diffusive transport in capillaries and tissue
We first present computational models for transport of cells and particles within small vessels. Fluid and solid domains are discretized by finite elements and solved within one nonlinear system. Large deformations which occur when cells pass through capillaries are included. The governing equations in differential form and in the FE formulation are derived. Numerical solutions are presented. Then, we describe diffusion multiscale models which are developed for simulation of drug transport within tissue. The models are formulated using mass release curves and appropriate numerical homogenization procedure. Biochemical interactions between diffusing molecules and biological environment significantly affect the diffusion and are included into the models. We give several example solutions.
Sponsored by the Department of Mathematical Sciences
Host: Vladimir Dragovic
Refreshments will be served in Room TBA 30 minutes before the talk begins.