2026-06-19T13:00:44Zhttps://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
Repositorio Institucional de la Universidad de Burgos
author
Carpio, Ana
author
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.
eng
Angiogenesis
Asymptotic reduction
Fokker–Planck
High order schemes
Kinetic models
Positivity preserving
Positivity preserving high order schemes for angiogenesis models
info:eu-repo/semantics/article
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URL
https://riubu.ubu.es/bitstream/10259/8314/1/Carpio-ijnsns_2022.pdf
File
MD5
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1670888
application/pdf
Carpio-ijnsns_2022.pdf