1 citations · 2 across the 5 of their papers we have counts for
5 papers
Coupled chemotactic fronts in heterogeneous sensor-consumer cell mixtures
Marjorie Watts, Carles Falcó, Giulia L. Celora
Chemotaxis underlies the collective migration of cell populations in developmental processes and immune responses. While the theoretical investigation of single-cell-type collectiv…
Travelling waves in a minimal go-or-grow model of cell invasion
Carles Falcó, Rebecca M. Crossley, Ruth E. Baker
We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching be…
Quantifying cell cycle regulation by tissue crowding
Carles Falcó, Daniel J. Cohen, José A. Carrillo +1
The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their div…
Competing effects in fourth-order aggregation-diffusion equations
José Antonio Carrillo, Antonio Esposito, Carles Falcó +1
We give sharp conditions for global in time existence of gradient flow solutions to a Cahn-Hilliard-type equation, with backwards second order degenerate diffusion, in any dimensio…
A local continuum model of cell-cell adhesion
Carles Falcó, Ruth E. Baker, José A. Carrillo
Cell-cell adhesion is one the most fundamental mechanisms regulating collective cell migration during tissue development, homeostasis and repair, allowing cell populations to self-…