Applying graph theory to arterial vascular tree of the kidney

Abstract

"The renal vascular development occurs through vasculogenesis and/or angiogenesis. Particularly, there are two types of vascular angiogenesis: sprouting and splitting. We show the graphs can generate binary tree structures by incorporating the phys- iological laws of the arterial branching of kidney. The graph prescribes a topology where each edge has the dynamics of the physiological phenomena of vascularization."