Simulation of 3D Solid Tumour Angiogenesis Including Arteriole, Capillary and Venule
Jie Wu∗,†, Quan Long‡, Shixiong Xu*, Anwar R. Padhani§, Yuping Jiang¶
Molecular & Cellular Biomechanics, Vol.5, No.4, pp. 217-228, 2008, DOI:10.3970/mcb.2008.005.217
Abstract In this paper, a 3D mathematical model of tumour angiogenesis is developed, to generate a functional tumour vasculature for blood microcirculation. The model follows that of Anderson and Chaplain (1998) [1] with three exceptions: (a) extending the model from 2D to 3D, one arteriole and one venule is induced as two parent vessels to form an intact circulation network for blood flow; (b) generating networks able to penetrate into the tumour interior rather than the exterior only; (c) considering branching generations with different diameters, based on which three groups of vessels, such as arterioles, venules and… More >