A new mathematical model for cell motility with nonlocal repulsion from saturated areas

Autor: Ferrari, Carlo Giambiagi, Guillen-Gonzalez, Francisco, Perez-Llanos, Mayte, Suarez, Antonio
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: The main purpose of this work is the modelling of large single populations of cells under different interactions among themselves, in balance with natural random diffusion. We focus on cell-cell adhesion mechanisms for one single population confined in isolated domains. Our most relevant contribution is the proposal of a mathematical model, that includes a nonlocal saturation coefficient multiplying an appropriate nonlocal drift term, that can even induce repulsion effects from saturated areas.
Databáze: arXiv