Blood flow reduced-order modeling across macroscopic through mesoscopic scales
Résumé
We propose a hemodynamic reduced-order model bridging macroscopic and mesoscopic blood flow
circulation scales from small arteries to capillaries. Representative network geometries are generated
by means of stochastic growth algorithms constrained by statistical morphological and topological
principles and are mathematically described by graphs. Different compliant structural models with
respect to pressure loads are used depending on vessel walls thicknesses and structures. Nonlinear
rheological properties of blood are also included in the model. Dynamic network responses are computed
for different conditions. The computational model quantifies small-scale flow pulsatility, which
has wide-ranging physiological influences.