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...
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| Veröffentlicht in: | Acta biotheoretica 2022-06, Vol.70 (2), p.12-12, Article 12 |
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| container_end_page | 12 |
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| container_title | Acta biotheoretica |
| container_volume | 70 |
| creator | Banerjee, M. Kuznetsov, M. Udovenko, O. Volpert, V. |
| description | 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. |
| doi_str_mv | 10.1007/s10441-022-09436-4 |
| format | Article |
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| ispartof | Acta biotheoretica, 2022-06, Vol.70 (2), p.12-12, Article 12 |
| issn | 0001-5342 1572-8358 |
| language | eng |
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| source | MEDLINE; SpringerLink Journals - AutoHoldings |
| subjects | Animals Diffusion Education Evolutionary Biology Mathematical models Mathematics Models, Biological Nervous system Nonlinear Dynamics Nonlinear systems Philosophy Philosophy of Biology Regular Article |
| title | Nonlocal Reaction–Diffusion Equations in Biomedical Applications |
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