Numerical simulation of blood flow and interstitial fluid pressure in solid tumor microcirculation based on tumor-induced angiogenesis

作者：Zhao, Gaiping; Wu, Jie; Xu, Shixiong^*; Collins, M. W.; Long, Quan; Koenig, Carola S.; Jiang, Yuping; Wang, Jian; Padhani, A. R.

来源：Acta Mechanica Sinica, 2007, 23(5): 477-483.

DOI：10.1007/s10409-007-0098-x

• solid tumor
• blood flow
• interstitial pressure
• angiogenesis
• numerical simulation

A coupled intravascular-transvascular-interstitial fluid flow model is developed to study the distributions of blood flow and interstitial fluid pressure in solid tumor microcirculation based on a tumor-induced microvascular network. This is generated from a 2D nine-point discrete mathematical model of tumor angiogenesis and contains two parent vessels. Blood flow through the microvascular network and interstitial fluid flow in tumor tissues are performed by the extended Poiseuille's law and Darcy's law, respectively, transvascular flow is described by Starling's law; effects of the vascular permeability and the interstitial hydraulic conductivity are also considered. The simulation results predict the heterogeneous blood supply, interstitial hypertension and low convection on the inside of the tumor, which are consistent with physiological observed facts. These results may provide beneficial information for anti-angiogenesis treatment of tumor and further clinical research.

• 出版日期2007-10
• 单位复旦大学