Gait and speed selection in slender inertial swimmers

Proceedings of the National Academy of Sciences of the United States of America
Mattia GazzolaL Mahadevan

Abstract

Inertial swimmers use flexural movements to push water and generate thrust. We quantify this dynamical process for a slender body in a fluid by accounting for passive elasticity and hydrodynamics and active muscular force generation and proprioception. Our coupled elastohydrodynamic model takes the form of a nonlinear eigenvalue problem for the swimming speed and locomotion gait. The solution of this problem shows that swimmers use quantized resonant interactions with the fluid environment to enhance speed and efficiency. Thus, a fish is like an optimized diode that converts a prescribed alternating transverse motion to forward motion. Our results also allow for a broad comparative view of swimming locomotion and provide a mechanistic basis for the empirical relation linking the swimmer's speed U, length L, and tail beat frequency f, given by U/L ~ f [Bainbridge R (1958) J Exp Biol 35:109-133]. Furthermore, we show that a simple form of proprioceptive sensory feedback, wherein local muscle activation is function of body curvature, suffices to drive elastic instabilities associated with thrust production and leads to a spontaneous swimming gait without the need for a central pattern generator. Taken together, our results provide...Continue Reading

References

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Feb 3, 2005·Proceedings of the National Academy of Sciences of the United States of America·Médéric Argentina, L Mahadevan
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Citations

Mar 25, 2016·Nature Communications·O AkanyetiJ C Liao
Jul 9, 2016·Science·Sung-Jin ParkKevin Kit Parker
Aug 18, 2018·PLoS Computational Biology·Christina L HamletLisa J Fauci
Nov 4, 2015·Nature Communications·Brad J GemmellJohn O Dabiri
Feb 13, 2018·Proceedings. Mathematical, Physical, and Engineering Sciences·Xiaolin Wang, Silas Alben
Aug 17, 2020·Physical Review Letters·E VirotL Mahadevan
Sep 19, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M PiñeiruaB Thiria
Jul 25, 2019·Physical Review. E·Silas Alben
Aug 16, 2018·Royal Society Open Science·M GazzolaL Mahadevan
Nov 22, 2020·Integrative and Comparative Biology·Nicholas A Battista
Dec 4, 2020·Bioinspiration & Biomimetics·Beau Pollard, Phanindra Tallapragada
Feb 13, 2021·Neuron·Laurence D PictonAbdeljabbar El Manira
Jun 26, 2021·Physical Review Letters·J Sánchez-RodríguezM Argentina
Jun 30, 2021·The Journal of Physiology·Gal HaspelJennifer R Morgan
Jul 21, 2021·Bioinspiration & Biomimetics·Liang LiGuangming Xie
Aug 18, 2021·Scientific Reports·Donald Derrick, Bryan Gick

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