Painter, K.J. orcid.org/0000-0003-3273-6031, Giunta, V. orcid.org/0000-0003-1156-7136, Potts, J.R. orcid.org/0000-0002-8564-2904 et al. (1 more author) (2024) Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations. Journal of The Royal Society Interface, 21 (219). 20240409. ISSN 1742-5689
Abstract
In a chase-and-run dynamic, the interaction between two individuals is such that one moves towards the other (the chaser), while the other moves away (the runner). Examples can be found in both interacting cells and animals. Here, we investigate the behaviours that can emerge at a population level, for a heterogeneous group that contains subpopulations of chasers and runners. We show that a wide variety of patterns can form, from stationary patterns to oscillatory and population-level chase-and-run, where the latter describes a synchronized collective movement of the two populations. We investigate the conditions under which different behaviours arise, specifically focusing on the interaction ranges: the distances over which cells or organisms can sense one another’s presence. We find that when the interaction range of the chaser is sufficiently larger than that of the runner—or when the interaction range of the chase is sufficiently larger than that of the run—population-level chase-and-run emerges in a robust manner. We discuss the results in the context of phenomena observed in cellular and ecological systems, with particular attention to the dynamics observed experimentally within populations of neural crest and placode cells.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 The Author(s). Except as otherwise noted, this author-accepted version of a journal article published in Journal of The Royal Society Interface is made available via the University of Sheffield Research Publications and Copyright Policy under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ |
Keywords: | chase-and-run; interaction range; non-local advection–diffusion PDEs; pattern formation; Animals; Models, Biological; Neural Crest; Population Dynamics |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL EP/V002988/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Nov 2024 14:26 |
Last Modified: | 18 Nov 2024 14:26 |
Status: | Published |
Publisher: | The Royal Society |
Refereed: | Yes |
Identification Number: | 10.1098/rsif.2024.0409 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:219796 |