3 papers
math.AP2025
Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
Juan Campos, Claudia GarcÃa, Carlos Pulido +1
This paper investigates the existence of traveling--wave--type patterns in the Keller--Segel model with logarithmic sensitivity. We consider both the linear diffusion case and the…
math.AP2025
Analysis of a Cross-Nonlinear Porous-Medium System Modeling Pressure-Driven Cell Population Dynamics
Alexis Béjar-López, Rafael Granero-Belinchón, Carlos Pulido +1
In this work, we introduce a cross-diffusion model that couples population density and occupied area to investigate how internal pressure drives growth and motility. By blending no…
math.AP2024
Biomechanical Effects on Traveling Waves at the Interface of Cell Populations
Juan Campos, Carlos Pulido, Juan Soler
This study builds upon a model proposed by Joanny and collaborators that examines the dynamics of interfaces between two distinct cell populations, particularly during tumor growth…