Collision of two cellular aggregates via active vertex model and topological data analysis*

We have used an active vertex model for cells undergoing underdamped dynamics with active forces, Vicsek like alignment of cellular velocities and noise to study tumor invasion on epithelial tissue. Topological data analysis characterizes, tracks and compares tissue interfaces from numerical simulations and from experiments in an automatic manner. We obtain good agreement when normal cells are solid like and cancerous cells are liquid like according to their shape parameters and have appropriate junction tensions.

[1] L. L. Bonilla, A. Carpio, C. Trenado, Tracking collective cell motion by topological data analysis; arXiv:2009.14161.