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math.AP2025
Asymptotic models for the evolution of a circular biofilm
Diego Alonso-Orán, Ana Carpio, Rafael Granero-Belinchón
We study a class of lubrication-type equations modeling the spread of thin poroelastic biofilms at air/agar interfaces. Starting from a biofilm slab model, we perform a formal mult…
math.AP2024
Analysis of a two phase flow model of biofilm spread
Ana Carpio, Gema Duro
Free boundaries of biofilms advancing on surfaces evolve according to conservation laws coupled with systems of partial differential equations for velocities, pressures and chemica…