A Continuous-Discrete Mathematical Model Simulates In Vitro Angiogenesis

Angiogenesis plays a pivotal role in formative life stages such as embryogenesis, tissue remodeling such as wound healing, and in pathological conditions such as excessive proliferation of blood vessels in tumorigenesis. In all cases, angiogenesis consistently follows a sequence beginning with detachment and migration of endothelial cells from existing vasculature and ending with formation of a new vessel network. This process is influenced by chemical and mechanical factors. While the chemical processes governing angiogenesis have been studied extensively and are still an active topic for research, the mechanical aspects have received less attention [1].