3 papers
cs.LG2025
Hierarchical topological clustering
Ana Carpio, Gema Duro
Topological methods have the potential of exploring data clouds without making assumptions on their the structure. Here we propose a hierarchical topological clustering algorithm t…
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…
math.AP2023
Well posedness of fluid/solid mixture models for biofilm spread
Ana Carpio, Gema Duro
Two phase solid-fluid mixture models are ubiquitous in biological applications. For instance, models for growth of tissues and biofilms combine time dependent and quasi-stationary…