12 citations · 31 across the 4 of their papers we have counts for
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math.AP2016★ 12 cited
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…
math.AP2016★ 7 cited
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…
math.AP2016★ 12 cited
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…