Numerical simulation of hemodynamics in the host blood vessel and microvascular network generated from tumor-induced angiogenesis1

Numerical simulation of hemodynamics under the combined effects of both the host blood vessel and the microvascular network, which is based on a 2-D tumor inside and outside vascular network generated from a discrete mathematical model of tumor-induced angiogenesis, is performed systemically. And a “microvascular network—transport across microvascular network—flow in interstitium” model is developed to study the flow in solid tumor. Simulations are carried out to examine the effects of the variations of the inlet Reynolds number in the host blood vessel, the hydraulic conductivity of the microvascular wall, and interstitial hydraulic conductivity coefficient on the fluid flow in tumor microcirculation. The results are consistent with data obtained in terms of physiology. These results may provide some theoretical references and the bases for further clinical experimental research.