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Discussion and Further Open Problems

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Hyperbolic and Kinetic Models for Self-organised Biological Aggregations

Part of the book series: Lecture Notes in Mathematics ((LNMBIOS,volume 2232))

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Abstract

The aim of this study was to review some of the local and nonlocal kinetic and hyperbolic models derived over the last few years to investigate movement and pattern formation across different biological communities. The emphasis was on the modelling of various self-organised behaviours for cell/animal aggregations, and the analytical and numerical methods used to investigate these behaviours. In this final chapter we discuss the biological relevance of some of the classical assumptions incorporated into the mathematical models, as well as the relevance of some spatial and spatio-temporal patterns presented in this review. We also discuss some of the open problems in the area, and suggest possible directions of future research.

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Authors and Affiliations

  1. Division of Mathematics, University of Dundee, Dundee, UK

    Raluca Eftimie

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  1. Raluca Eftimie
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Eftimie, R. (2018). Discussion and Further Open Problems. In: Hyperbolic and Kinetic Models for Self-organised Biological Aggregations. Lecture Notes in Mathematics(), vol 2232. Springer, Cham. https://doi.org/10.1007/978-3-030-02586-1_9

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