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Numerical modeling of diffusion within composite media

t. Within biological systems, which contain complex and composite media, diffusion may depend not only on internal geometry, but also on the chemical interactions between solid phase and transported particles. New hierarchical multiscale microstructural model for diffusion within complex media is presented. Hierarchical modeling approach is then employed to construct a continuum diffusion model based on a novel numerical homogenization procedure, using which we evaluate constitutive material parameters.