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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
Longtime and chaotic dynamics in microscopic systems with singular interactions
Alexis Béjar-López, Alain Blaustein, Pierre-Emmanuel Jabin +1
This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of interacting point particles…
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…