Comprehensive mathematical model of microcirculatory dynamics (I) - Basic theory

Under the basis of physiological data, a nonlinear and unsteady comprehensi ve mathematical model of microcirculatory dynamics with distributed paramet ers is developed. Hemodynmaics, interstitium dynamics, lymph dynamics, dyna mics of protein transport, oxygen dynamics, dynamics of heat transfer, and myogenic and metabolic regulation procedures are included. The interactions between these factors were comprehensively exhibited. The influences of ar teriolar vasomotion and nonlinear viscoelasticity of blood in arteriole are considered. A simplified vessel network consisting of arteriole, open and reserved capillaries, venule, initial lymphatics and arteriole-venule anast omose is adopted as the geometrical model. This kind of comprehensive mathe matical model is helpful in analyzing clinical data and developing a "numer ical experiment method" in microcirculation research.