2026-06-18T02:09:27Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/83142024-01-13T01:05:35Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230
Carpio, Ana
Cebrián de Barrio, Elena
2024-01-12T11:24:13Z
2024-01-12T11:24:13Z
2022
1565-1339
http://hdl.handle.net/10259/8314
10.1515/ijnsns-2021-0112
2191-0294
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.
application/pdf
eng
De Gruyter
International Journal of Nonlinear Sciences and Numerical Simulation. 2022, V. 23, n. 6, p. 917-929
https://doi.org/10.1515/ijnsns-2021-0112
Angiogenesis
Asymptotic reduction
Fokker–Planck
High order schemes
Kinetic models
Positivity preserving
Matemáticas
Mathematics
Positivity preserving high order schemes for angiogenesis models
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/openAccess
International Journal of Nonlinear Sciences and Numerical Simulation
23
6
917
929