30 citations · 62 across the 5 of their papers we have counts for
5 papers
Bifurcation theory captures band formation in the Vicsek model of flock formation
C. Trenado, L. L. Bonilla, A. Marquina
Collective behavior occurs ubiquitously in nature and it plays a key role in bacterial colonies, mammalian cells or flocks of birds. Here, we examine the average density and veloci…
Fingering instability in spreading epithelial monolayers: roles of cell polarisation, substrate friction and contractile stresses
Carolina Trenado, Luis L. Bonilla, Alejandro Martínez-Calvo
Collective cell migration plays a crucial role in many developmental processes that underlie morphogenesis, wound healing, or cancer progression. In such coordinated behaviours, ce…
Tracking collective cell motion by topological data analysis
L. L. Bonilla, A. Carpio, C. Trenado
By modifying and calibrating an active vertex model to experiments, we have simulated numerically a confluent cellular monolayer spreading on an empty space and the collision of tw…
Crossover between parabolic and hyperbolic scaling, oscillatory modes and resonances near flocking
L. L. Bonilla, C. Trenado
A stability and bifurcation analysis of a kinetic equation indicates that the flocking bifurcation of the two-dimensional Vicsek model exhibits an interplay between parabolic and h…
Contrarian compulsions produce time dependent flocking of active particles
L L Bonilla, C. Trenado
Animals having a trend to align their velocities to an average of their neighbors' may flock as illustrated by the Vicsek model and its variants. If, in addition, they feel a syste…