Nonlocal Reaction-Diffusion Equations in Biomedical Applications.
Nonlocal equations
Pattern formation
Pulses
Reaction–diffusion equations
Travelling waves
Journal
Acta biotheoretica
ISSN: 1572-8358
Titre abrégé: Acta Biotheor
Pays: Netherlands
ID NLM: 0421520
Informations de publication
Date de publication:
17 Mar 2022
17 Mar 2022
Historique:
received:
19
10
2021
accepted:
28
02
2022
entrez:
17
3
2022
pubmed:
18
3
2022
medline:
22
3
2022
Statut:
epublish
Résumé
Nonlocal reaction-diffusion equations describe various biological and biomedical applications. Their mathematical properties are essentially different in comparison with the local equations, and this difference can lead to important biological implications. This review will present the state of the art in the investigation of nonlocal reaction-diffusion models in biomedical applications. We will consider various models arising in mathematical immunology, neuroscience, cancer modelling, and we will discuss their mathematical properties, nonlinear dynamics, resulting spatiotemporal patterns and biological significance.
Identifiants
pubmed: 35298702
doi: 10.1007/s10441-022-09436-4
pii: 10.1007/s10441-022-09436-4
doi:
Types de publication
Journal Article
Review
Langues
eng
Sous-ensembles de citation
IM
Pagination
12Subventions
Organisme : Ministry of Science and Higher Education of the Russian Federation
ID : 075-03-2020-223/3 (FSSF-2020-0018)
Informations de copyright
© 2022. Springer Nature B.V.
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