Synthesis of Flow and Thermal Transport in Porous Media as Applied to Biological Applications

The biological systems are tied to the molecular transport across the living tissues which in turn highly depend on kinetic and thermal energy exchanges. For various applications ranging from artery modeling to very sensitive tissue modeling such as the brain, porous media modeling accurately predicts biological behavior. This article elaborately addresses the fundamentals of porous media and provides a comprehensive synthesis of the theory development from the primary methods available in the literature to the modern mathematical formulations. Specifically, this paper concentrates on two remarkable biological applications including (1) blood flow interactions with the porous tissue and (2) hydrodynamic impacts of particle-particle interactions in the microscale modeling that requires a Lagrangian frame.

Automated summary

The article focuses on the relationship between porous media modeling and biological behavior, particularly in the interactions between blood flow and porous tissues, as well as the hydrodynamic impacts of particle-particle interactions in microscale modeling. The research suggests that porous media modeling accurately predicts biological transport processes and provides important references for the theoretical development in related fields.