RT Journal Article
T1 Constructing solutions for a kinetic model of angiogenesis in annular domains
A1 Carpio Rodríguez, Ana María
A1 Duro, Gema
A1 Negreanu Pruna, Mihaela
AB We present an iterative technique to construct stable solutions for an angiogenesis model set in an annular region. Branching, anastomosis and extension of blood vessel tips is described by an integrodifferential kinetic equation of Fokker-Planck type supplemented with nonlocal boundary conditions and coupled to a diffusion problem with Neumann boundary conditions through the force field created by the tumor induced angiogenic factor and the flux of vessel tips. Convergence proofs exploit balance equations, estimates of velocity decay and compactness results for kinetic operators, combined with gradient estimates of heat kernels for Neumann problems in non convex domains.
PB Elsevier
SN 0307-904X
YR 2017
FD 2017-05
LK https://hdl.handle.net/20.500.14352/18799
UL https://hdl.handle.net/20.500.14352/18799
LA eng
NO Carpio Rodríguez, A. M., Duro, G. y Negreanu Pruna, M. «Constructing Solutions for a Kinetic Model of Angiogenesis in Annular Domains». Applied Mathematical Modelling, vol. 45, mayo de 2017, pp. 303-22. DOI.org (Crossref), https://doi.org/10.1016/j.apm.2016.12.028.
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 20 abr 2025