A Volume-Averaged Mathematical Model for Biotransport Part I Macro-Micro Conservations in Tissue Transports

Abstract

Modeling of biotransport phenomena inside human body has being paid attentions for last 50 years. Most of mathematical model only consider energy conservation which is bioheat. However in biosystems, the heat and chemical compositions with mas and momentum are coupled. In this research, due to the complexity of tissue structure, especially with Trans-vascular Blood Perfusion we rigorously derive and present a volume-averaged mathematical model which covers complete conservations of mass, momentum, energy and compositions. The model can be considered as a fundamental and general biotransport model used in any biosystems.