Journal article 51 views
Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
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Valeria Giunta ,
Jonathan R. Potts ,
Sara Bernardi
Journal of The Royal Society Interface, Volume: 21, Issue: 219, Start page: 20240409
Swansea University Author:
Valeria Giunta
Full text not available from this repository: check for access using links below.
DOI (Published version): 10.1098/rsif.2024.0409
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,...
| Published in: | Journal of The Royal Society Interface |
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| ISSN: | 1742-5689 1742-5662 |
| Published: |
The Royal Society
2024
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa68479 |
| 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. |
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| Keywords: |
Non-local advection–diffusion PDEs, interaction range, chase-and-run, pattern formation |
| College: |
Faculty of Science and Engineering |
| Funders: |
K.J.P. acknowledges ‘Miur-Dipartimento di Eccellenza’ funding to the Dipartimento di Scienze, Progetto e Politiche del Territorio (DIST). J.R.P. and V.G. acknowledge the support of Engineering and Physical Sciences Research Council (EPSRC) grant EP/V002988/1 awarded to J.R.P. S.B. and V.G. acknowledge the financial support of GNFM-INdAM through ‘INdAM– GNFM Project’, CUP E53C22001930001. |
| Issue: |
219 |
| Start Page: |
20240409 |