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| Hauptverfasser: | , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2407.13037 |
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| _version_ | 1866915526198951936 |
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| author | Pierce, Christopher J. Irvine, Daniel Peng, Lucinda Lu, Xuefei Lu, Hang Goldman, Daniel I. |
| author_facet | Pierce, Christopher J. Irvine, Daniel Peng, Lucinda Lu, Xuefei Lu, Hang Goldman, Daniel I. |
| contents | Organisms that locomote by propagating waves of body bending can maintain performance across heterogeneous environments by modifying their gait frequency $ω$ or wavenumber $k$. We identify a unifying relationship between these parameters for overdamped undulatory swimmers (including nematodes, spermatozoa, and mm-scale fish) moving in diverse environmental rheologies, in the form of an active `dispersion relation' $ω\propto k^{\pm2}$. A model treating the organisms as actively driven viscoelastic beams reproduces the experimentally observed scaling. The relative strength of rate-dependent dissipation in the body and the environment determines whether $k^2$ or $k^{-2}$ scaling is observed. The existence of these scaling regimes reflects the $k$ and $ω$ dependence of the various underlying force terms and how their relative importance changes with the external environment and the neuronally commanded gait. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13037 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dispersion Relations for Active Undulators in Overdamped Environments Pierce, Christopher J. Irvine, Daniel Peng, Lucinda Lu, Xuefei Lu, Hang Goldman, Daniel I. Biological Physics Quantitative Methods Organisms that locomote by propagating waves of body bending can maintain performance across heterogeneous environments by modifying their gait frequency $ω$ or wavenumber $k$. We identify a unifying relationship between these parameters for overdamped undulatory swimmers (including nematodes, spermatozoa, and mm-scale fish) moving in diverse environmental rheologies, in the form of an active `dispersion relation' $ω\propto k^{\pm2}$. A model treating the organisms as actively driven viscoelastic beams reproduces the experimentally observed scaling. The relative strength of rate-dependent dissipation in the body and the environment determines whether $k^2$ or $k^{-2}$ scaling is observed. The existence of these scaling regimes reflects the $k$ and $ω$ dependence of the various underlying force terms and how their relative importance changes with the external environment and the neuronally commanded gait. |
| title | Dispersion Relations for Active Undulators in Overdamped Environments |
| topic | Biological Physics Quantitative Methods |
| url | https://arxiv.org/abs/2407.13037 |