ABSTRACT
The growth of a tumor is dependent on an adequate input of nutrients, which can be achieved by diffusion when the tumor is small. When the tumor reaches a critical size, it requires blood circulation for nutrients which is accomplished by the growth of a vascular network (blood vessels, capillaries), usually termed tumor-induced angiogenesis (TIA). This chapter presents a mathematical model which describes the migration of capillary sprouts in response to a chemoattractant field set up by a tumour-released angiogenic factor, sometimes termed a tumour angiogenesis factor. It describes delay partial differential equations model for tumor neovascularization spatiotemporal dynamics. The model is coded (programmed) in R. The chapter concludes with a discussion on the model output.
