RT Journal Article
T1 Well posedness of an integrodifferential kinetic model of Fokker-Planck type for angiogenesis.
A1 Carpio Rodríguez, Ana María
A1 Duro, Gema
AB Tumor induced angiogenesis processes including the effect of stochastic motion and branching of blood vessels can be described coupling a (nonlocal in time) integrodifferential kinetic equation of Fokker–Planck type with a diffusion equation for the tumor induced ingiogenic factor. The chemotactic force field depends on the flux of blood vessels through the angiogenic factor. We develop an existence and uniqueness theory for this system under natural assumptions on the initial data. The proof combines the construction of fundamental solutions for associated linearized problems with comparison principles, sharp estimates of the velocity integrals andcompactness results for this type of kinetic and parabolic operators
PB Amsterdam Elsevier Science 2000
SN 1468-1218
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24466
UL https://hdl.handle.net/20.500.14352/24466
LA eng
NO Carpio Rodríguez, A. M. & Duro, G. «Well Posedness of an Integrodifferential Kinetic Model of Fokker–Planck Type for Angiogenesis». Nonlinear Analysis: Real World Applications, vol. 30, agosto de 2016, pp. 184-212. DOI.org (Crossref), https://doi.org/10.1016/j.nonrwa.2016.01.002.
NO Ministerio de Economía, Comercio y Empresa (España)
DS Docta Complutense
RD 9 abr 2025