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Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis

Fig 8

Standard and topological descriptors describe distinct aspects of vessel morphology.

For clarity, each vessel segment is colored differently, and black dots represent active tip cells. A) The initial vessel configuration. B) A schematic showing how the vascular architecture changes after an anastomosis event. C) A schematic showing how the vascular architecture changes after a branching event. D-E) Schematics showing two ways in which vasculature can change after one anastomosis event and one branching event. F) A schematic showing how the vessels can change after one branching and two anastomosis events. (Key: β0, number of connected components; β1, number of loops; NT, number of tip cells; NS, number of vessel segments).

Fig 8

doi: https://doi.org/10.1371/journal.pcbi.1009094.g008