Nonlocal Reaction-Diffusion Equations in Biomedical Applications.

🤖 Plain-English Summary

Nonlocal reaction-diffusion equations describe various biological and biomedical applications. This review will present the state of the art in the investigation of nonlocal reaction-diffusion models in biomedical applications.

🔑 Key Findings

• 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.

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