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q-bio.PE2024
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
Pierluigi Colli, Gabriela Marinoschi, Elisabetta Rocca +1
Partial differential equation (PDE) models for infectious disease have received renewed interest in recent years. Most models of this type extend classical compartmental formulatio…
math.AP2024
A rigorous approach to the sharp interface limit for phase-field models of tumor growth
Filippo Riva, Elisabetta Rocca
In this paper we consider two diffuse interface models for tumor growth coupling a Cahn-Hilliard type equation for the tumor phase parameter to a reaction-diffusion type equation f…