Emergence of in-line swimming patterns in zebrafish pairs
Mathematical models promise new insights into the mechanisms underlying the emergence of collective behaviour in fish. Here, we establish a mathematical model to examine collective behaviour of zebrafish, a popular animal species in preclinical research. The model accounts for social and hydrodynami...
| Autori principali: | , , , |
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| Natura: | Articolo |
| Lingua: | English |
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Cambridge University Press
2021-01-01
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| Serie: | Flow |
| Soggetti: | |
| Accesso online: | https://www.cambridge.org/core/product/identifier/S2633425921000052/type/journal_article |
| _version_ | 1827994966253633536 |
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| author | Maurizio Porfiri Mert Karakaya Raghu Ram Sattanapalle Sean D. Peterson |
| author_facet | Maurizio Porfiri Mert Karakaya Raghu Ram Sattanapalle Sean D. Peterson |
| author_sort | Maurizio Porfiri |
| collection | DOAJ |
| description | Mathematical models promise new insights into the mechanisms underlying the emergence of collective behaviour in fish. Here, we establish a mathematical model to examine collective behaviour of zebrafish, a popular animal species in preclinical research. The model accounts for social and hydrodynamic interactions between individuals, along with the burst-and-coast swimming style of zebrafish. Each fish is described as a system of coupled stochastic differential equations, which govern the time evolution of their speed and turn rate. Model parameters are calibrated using experimental observations of zebrafish pairs swimming in a shallow water tank. The model successfully captures the main features of the collective response of the animals, by predicting their preference to swim in-line, with one fish leading and the other trailing. During in-line swimming, the animals share the same orientation and keep a distance from each other, owing to hydrodynamic repulsion. Hydrodynamic interaction is also responsible for an increase in the speed of the pair swimming in-line. By linearizing the equations of motion, we demonstrate local stability of in-line swimming to small perturbations for a wide range of model parameters. Mathematically backed results presented herein support the application of dynamical systems theory to unveil the inner workings of fish collective behaviour. |
| first_indexed | 2024-04-10T04:49:11Z |
| format | Article |
| id | doaj.art-3e89eb45e03d4c06900df172b901b5ce |
| institution | Directory Open Access Journal |
| issn | 2633-4259 |
| language | English |
| last_indexed | 2024-04-10T04:49:11Z |
| publishDate | 2021-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Flow |
| spelling | doaj.art-3e89eb45e03d4c06900df172b901b5ce2023-03-09T12:34:16ZengCambridge University PressFlow2633-42592021-01-01110.1017/flo.2021.5Emergence of in-line swimming patterns in zebrafish pairsMaurizio Porfiri0https://orcid.org/0000-0002-1480-3539Mert Karakaya1https://orcid.org/0000-0002-8158-3337Raghu Ram Sattanapalle2Sean D. Peterson3https://orcid.org/0000-0001-8746-2491Mechanical and Aerospace Engineering Department, New York University Tandon School of Engineering, 6 MetroTech Center, Brooklyn, NY 11201, USA Biomedical Engineering Department, New York University Tandon School of Engineering, 6 MetroTech Center, Brooklyn, NY 11201, USA Center for Urban Science and Progress, New York University Tandon School of Engineering, 370 Jay Street, Brooklyn, NY 11201, USAMechanical and Aerospace Engineering Department, New York University Tandon School of Engineering, 6 MetroTech Center, Brooklyn, NY 11201, USAMechanical and Aerospace Engineering Department, New York University Tandon School of Engineering, 6 MetroTech Center, Brooklyn, NY 11201, USAMechanical and Mechatronics Engineering, University of Waterloo, 200 University Ave W, Waterloo, Ontario N2L 3G1, CanadaMathematical models promise new insights into the mechanisms underlying the emergence of collective behaviour in fish. Here, we establish a mathematical model to examine collective behaviour of zebrafish, a popular animal species in preclinical research. The model accounts for social and hydrodynamic interactions between individuals, along with the burst-and-coast swimming style of zebrafish. Each fish is described as a system of coupled stochastic differential equations, which govern the time evolution of their speed and turn rate. Model parameters are calibrated using experimental observations of zebrafish pairs swimming in a shallow water tank. The model successfully captures the main features of the collective response of the animals, by predicting their preference to swim in-line, with one fish leading and the other trailing. During in-line swimming, the animals share the same orientation and keep a distance from each other, owing to hydrodynamic repulsion. Hydrodynamic interaction is also responsible for an increase in the speed of the pair swimming in-line. By linearizing the equations of motion, we demonstrate local stability of in-line swimming to small perturbations for a wide range of model parameters. Mathematically backed results presented herein support the application of dynamical systems theory to unveil the inner workings of fish collective behaviour.https://www.cambridge.org/core/product/identifier/S2633425921000052/type/journal_articlevortex interactionscollective behaviourswimming/flying |
| spellingShingle | Maurizio Porfiri Mert Karakaya Raghu Ram Sattanapalle Sean D. Peterson Emergence of in-line swimming patterns in zebrafish pairs Flow vortex interactions collective behaviour swimming/flying |
| title | Emergence of in-line swimming patterns in zebrafish pairs |
| title_full | Emergence of in-line swimming patterns in zebrafish pairs |
| title_fullStr | Emergence of in-line swimming patterns in zebrafish pairs |
| title_full_unstemmed | Emergence of in-line swimming patterns in zebrafish pairs |
| title_short | Emergence of in-line swimming patterns in zebrafish pairs |
| title_sort | emergence of in line swimming patterns in zebrafish pairs |
| topic | vortex interactions collective behaviour swimming/flying |
| url | https://www.cambridge.org/core/product/identifier/S2633425921000052/type/journal_article |
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