A simple agent-based model to simulate 3D tumor-induced angiogenesis considering the evolution of the hypoxic conditions of the cells

Abstract In tumors, angiogenesis (conformation of a new vasculature from another primal one) is produced with the releasing tumor angiogenic factors hypoxic cells. These substances are distributed around micro-environment by diffusion. When they reach blood vessel bed, sprouting and branching micro-vascular network produced. capillaries will supply oxygen to cells so that their state overcome. this work, simple 3D agent-based model simulate tumor-induced presented. approach, evolution conditions in along related conformation micro-vessels considered. The importance relative position structure takes final distribution micro-vasculature has also been addressed. diffusion modelled at targets numerical convolution superposition analytical solution sources. Qualitative quantitative results show tip endothelial overcoming early stages angiogenesis. At stages, anastomosis plays an important role reduction hypoxia