Nonlocal Reaction–Diffusion Equations in Biomedical Applications

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. © 2022, Springer Nature B.V.

Авторы
Banerjee M.1 , Kuznetsov M. 2, 3 , Udovenko O. 2 , Volpert V. 2, 4, 5
Журнал
Издательство
NLM (Medline)
Номер выпуска
2
Язык
Английский
Статус
Опубликовано
Номер
12
Том
70
Год
2022
Организации
  • 1 Department of Mathematics & Statistics, IIT Kanpur, Kanpur, 208016, India
  • 2 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 3 P.N. Lebedev Physical Institute of the Russian Academy of Sciences, 53 Leninskiy Prospekt, Moscow, 119991, Russian Federation
  • 4 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 5 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
Ключевые слова
Nonlocal equations; Pattern formation; Pulses; Reaction–diffusion equations; Travelling waves
Дата создания
06.07.2022
Дата изменения
01.08.2022
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/83605/
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