12 citations · 33 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Well posedness of an integrodifferential kinetic model of Fokker-Planck type for angiogenesis
Ana Carpio, Gema Duro
Tumor induced angiogenesis processes including the effect of stochastic motion and branching of blood vessels can be described coupling a (nonlocal in time) integrodifferential kin…
Well posedness of an angiogenesis related integrodifferential diffusion model
Ana Carpio, Gema Duro
We prove existence and uniqueness of nonnegative solutions for a nonlocal in time integrodifferential diffusion system related to angiogenesis descriptions. Fundamental solutions o…
Constructing solutions for a kinetic model of angiogenesis in annular domains
Ana Carpio, Gema Duro, Mihaela Negreanu
We prove existence and stability of solutions for a model of angiogenesis set in an annular region. Branching, anastomosis and extension of blood vessel tips are described by an in…