RT Journal Article
T1 Positivity preserving high order schemes for angiogenesis models
A1 Carpio Rodríguez, Ana María
A1 Cebrián, Elena
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 https://hdl.handle.net/20.500.14352/93936
UL https://hdl.handle.net/20.500.14352/93936
LA eng
NO Carpio Rodríguez, A. M. y Cebrián, E. «Positivity Preserving High Order Schemes for Angiogenesis Models». International Journal of Nonlinear Sciences and Numerical Simulation, vol. 23, n.o 6, octubre de 2022, pp. 917-29. https://doi.org/10.1515/ijnsns-2021-0112.
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 31 ago 2025