Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis
Fig 3
Standard descriptors are computed for each model simulation include the number of vessel segments (NS, depicted by each colored solid curve), the number of endothelial tip cells (NT, depicted by black dots), and the x-coordinate of the vessel segment location with the greatest horizontal distance from the y-axis (L, depicted by the vertical grayed dashed line). This schematic example is initialized with 2 vessel segments and 2 tip cells at locations (1) and (2). A branching event at location (3) increases the value of both NS and NT by one. An anastomosis event at location (4) decreases NT by one. The branching event at location (5) increases both NS and NT by one.