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Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations

Kevin J. Painter Orcid Logo, Valeria Giunta Orcid Logo, Jonathan R. Potts Orcid Logo, Sara Bernardi Orcid Logo

Journal of The Royal Society Interface, Volume: 21, Issue: 219, Start page: 20240409

Swansea University Author: Valeria Giunta Orcid Logo

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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,...

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Published in: Journal of The Royal Society Interface
ISSN: 1742-5689 1742-5662
Published: The Royal Society 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa68479
first_indexed 2024-12-06T19:47:02Z
last_indexed 2024-12-06T19:47:02Z
id cronfa68479
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spelling 2024-12-06T12:47:20.1466949 v2 68479 2024-12-06 Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations 50456cce4b2c7be66f8302d418963b0c 0000-0003-1156-7136 Valeria Giunta Valeria Giunta true false 2024-12-06 MACS 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. Journal Article Journal of The Royal Society Interface 21 219 20240409 The Royal Society 1742-5689 1742-5662 Non-local advection–diffusion PDEs, interaction range, chase-and-run, pattern formation 30 10 2024 2024-10-30 10.1098/rsif.2024.0409 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University Not Required 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. 2024-12-06T12:47:20.1466949 2024-12-06T12:17:59.0279896 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Kevin J. Painter 0000-0003-3273-6031 1 Valeria Giunta 0000-0003-1156-7136 2 Jonathan R. Potts 0000-0002-8564-2904 3 Sara Bernardi 0000-0002-3232-1664 4
title Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
spellingShingle Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
Valeria Giunta
title_short Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
title_full Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
title_fullStr Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
title_full_unstemmed Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
title_sort Variations in non-local interaction range lead to emergent chase-and-run in heterogeneous populations
author_id_str_mv 50456cce4b2c7be66f8302d418963b0c
author_id_fullname_str_mv 50456cce4b2c7be66f8302d418963b0c_***_Valeria Giunta
author Valeria Giunta
author2 Kevin J. Painter
Valeria Giunta
Jonathan R. Potts
Sara Bernardi
format Journal article
container_title Journal of The Royal Society Interface
container_volume 21
container_issue 219
container_start_page 20240409
publishDate 2024
institution Swansea University
issn 1742-5689
1742-5662
doi_str_mv 10.1098/rsif.2024.0409
publisher The Royal Society
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
description 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.
published_date 2024-10-30T08:36:59Z
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