RT info:eu-repo/semantics/article
T1 Positivity preserving high order schemes for angiogenesis models
A1 Carpio, Ana
A1 Cebrián de Barrio, Elena
K1 Angiogenesis
K1 Asymptotic reduction
K1 Fokker–Planck
K1 High order schemes
K1 Kinetic models
K1 Positivity preserving
K1 Matemáticas
K1 Mathematics
AB Hypoxy induced angiogenesis processes can be described by coupling an integrodifferential kinetic equation of Fokker–Planck type with a diffusion equation for the angiogenic factor. We propose high order positivity preserving schemes to approximate the marginal tip density by combining an asymptotic reduction with weighted essentially non oscillatory and strong stability preserving time discretization. We capture soliton-like solutions representing blood vessel formation and spread towards hypoxic regions.
PB De Gruyter
SN 1565-1339
YR 2022
FD 2022
LK http://hdl.handle.net/10259/8314
UL http://hdl.handle.net/10259/8314
LA eng
DS Repositorio Institucional de la Universidad de Burgos
RD 09-may-2024