2026-04-20T14:30:50Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/83142024-01-13T01:05:35Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

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