Multiscale Modeling of Molecular Diffusion in Tissue

Abstract eng:
Tissue can be considered as a composite medium through which occurs transport of molecules. Transport of matter by diffusion within this medium is affected not only by internal microstructural geometry, but also by physico-chemical interactions between solid phase (proteins, fibers) and transported molecules or particles. We implement a new hierarchical multiscale microstructural model [1], [2] for simulation of transport of molecules through tissue. Our model is based on a novel numerical homogenization procedure. The equivalent diffusion parameters of the continuum model consist of equivalent bulk commonly used diffusion coefficients and new equivalent distances from the solid surface. Numerical examples include, among others, a model of diffusion within tissue in the vicinity of a capillary through which molecules are transported by convection. A study of the effects of collagen mesh density within tissue on transported molecule concentration profiles is presented.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket