The mechanics of active fin-shape control in ray-finned fishes
Open accessAbstract
We study the mechanical properties of fin rays, which are a fundamental component of fish fin structure. We derive a linear elasticity model that predicts the shape of fin rays, given the input muscle actuation and external loading. We then test the model using experiments that measure (i) the ray deflection for a given actuation at the muscular interface, and (ii) the force–displacement response under conditions of actuation and non-actuation. The model agrees well with the experiment; both show a concentration of curvature at the ray base or at the point of an externally applied force, and a variation in ray stiffness over more than an order of magnitude depending on actuation at the bases of the fin rays.
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This functional relation between dermal rays and the endoskeleton is distinct from that of teleost paired fins, where distal radials act as pivot points on which hemitrichia flex and extend to precisely modulate the stiffness, curvature, and area of the fin web.
“This functional relation between dermal rays and the endoskeleton is distinct from that of teleost paired fins, where distal radials act as pivot points on which hemitrichia flex and extend to precisely modulate the stiffness, curvature, and area of the fin web (58, 59).”
From Fin ray patterns at the fin-to-limb transition (2020) · cites this paper as [58]
Cites
Craven, P., & Wahba, G. (1978) · Numerische Mathematik · doi:10.1007/bf01404567 · Cited by 3,388 · see citing works
Nonlinear Problems of Elasticity
Antman, S. S. (2005) · Springer eBooks · doi:10.1007/0-387-27649-1 · Cited by 1,711 · see citing works
Tongues, Tentacles and Trunks: the Biomechanics of Movement in Muscular-Hydrostats
KIER, W. M., & SMITH, K. K. (1985) · Zoological Journal of the Linnean Society · doi:10.1111/j.1096-3642.1985.tb01178.x · Cited by 910 · see citing works
Morphology and Experimental Hydrodynamics of Fish Fin Control Surfaces
LAUDER, G. V., & Drucker, E. G. (2004) · IEEE Journal of Oceanic Engineering · doi:10.1109/joe.2004.833219 · Cited by 342 · see citing works
Self-citationMultiaxial Mechanical Behavior of Biological Materials
Sacks, M. S., & Sun, W. (2003) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.5.011303.120714 · Cited by 304 · see citing works
Mathematics Applied to Continuum Mechanics
Segel, L. A., & Handelman, G. H. (2007) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719086 · Cited by 292 · see citing works
Function of pectoral fins in rainbow trout: behavioral repertoire and hydrodynamic forces
Drucker, E. G., & LAUDER, G. V. (2003) · Journal of Experimental Biology · doi:10.1242/jeb.00139 · Cited by 172 · see citing works
Self-citationCell Traction Forces on Soft Biomaterials. I. Microrheology of Type I Collagen Gels
Velegol, D., & Lanni, F. (2001) · Biophysical Journal · doi:10.1016/s0006-3495(01)75829-8 · Cited by 141 · see citing works
The Relation Between Structure and Bending Properties of Teleost Fin Rays
Videler, J. J., & Geerlink, P. J. (1986) · Netherlands Journal of Zoology · doi:10.1163/002829687x00044 · Cited by 63 · see citing works
The trout tail fin: A self-cambering hydrofoil
McCutchen, C. W. (1970) · Journal of Biomechanics · doi:10.1016/0021-9290(70)90029-1 · Cited by 33 · see citing works
Coupling Internal and External Mechanics to Predict Swimming Behavior: A General Approach
Jordan, C. E. (1996) · American Zoologist · doi:10.1093/icb/36.6.710 · Cited by 32 · see citing works
Wainwright, S. A. (2000) · American Zoologist · doi:10.1093/icb/40.1.19 · Cited by 16 · see citing works
Interactions between fish and water
Videler, J. J. (1993) · Springer eBooks · doi:10.1007/978-94-011-1580-3_1 · Cited by 9 · see citing works
Flagged first, then by citations
1 of the 14 references couldn’t be matched to a known paper.
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Pfeifer, R., Lungarella, M., & Fumiya Iida, A. (2007) · Science · doi:10.1126/science.1145803 · Cited by 1,220 · see citing works
Fish biorobotics: kinematics and hydrodynamics of self-propulsion
LAUDER, G. V., Anderson, E. J., Tangorra, J. L., & Madden, P. G. A. (2007) · Journal of Experimental Biology · doi:10.1242/jeb.000265 · Cited by 358 · see citing works
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LAUDER, G. V. (2014) · Annual Review of Marine Science · doi:10.1146/annurev-marine-010814-015614 · Cited by 310 · see citing works
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Seo, K., Lee, J., Lee, Y., Ha, T., & Shim, Y. (2016) · Proceedings - IEEE International Conference on Robotics and Automation/Proceedings · doi:10.1109/icra.2016.7487663 · Cited by 178 · see citing works
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Alben, S. (2008) · Journal of Fluid Mechanics · doi:10.1017/s0022112008003297 · Cited by 172 · see citing works
Self-citationFish locomotion: kinematics and hydrodynamics of flexible foil-like fins
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Locomotion of a flapping flexible plate
Hua, R.-N., Zhu, L., & Lu, X. (2013) · Physics of Fluids · doi:10.1063/1.4832857 · Cited by 146 · see citing works
Tangorra, J. L., LAUDER, G. V., Hunter, I. W., Mittal, R., Madden, P. G. A., & Bozkurttas, M. (2010) · Journal of Experimental Biology · doi:10.1242/jeb.048017 · Cited by 146 · see citing works
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Sun, B., Li, W., Wang, Z., Zhu, Y., He, Q., Guan, X., Dai, G., Yuan, D., Li, A., Cui, W., et al. (2022) · Journal of Marine Science and Engineering · doi:10.3390/jmse10060773 · Cited by 100 · see citing works
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Blevins, E. L., & LAUDER, G. V. (2012) · Journal of Experimental Biology · doi:10.1242/jeb.068981 · Cited by 80 · see citing works
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Self-citationThe function of fin rays as proprioceptive sensors in fish
Williams, R., Neubarth, N. L., & Hale, M. E. (2013) · Nature Communications · doi:10.1038/ncomms2751 · Cited by 70 · see citing works
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Youngerman, E., Flammang, B. E., & LAUDER, G. V. (2014) · Zoology · doi:10.1016/j.zool.2014.04.004 · Cited by 64 · see citing works
Self-citationLeading edge strengthening and the propulsion performance of flexible ray fins
Shoele, K., & Zhu, Q. (2012) · Journal of Fluid Mechanics · doi:10.1017/jfm.2011.538 · Cited by 63 · see citing works
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Ren, Z., Yang, X., Wang, T., & Wen, L. (2016) · Bioinspiration & Biomimetics · doi:10.1088/1748-3190/11/1/016008 · Cited by 56 · see citing works
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Zhang, S., Лю, Б., Wang, L., Qin, Y. F., Low, K. H., & Yang, J. (2014) · IEEE/ASME Transactions on Mechatronics · doi:10.1109/tmech.2013.2294797 · Cited by 53 · see citing works
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Santo, V. D., Blevins, E. L., & LAUDER, G. V. (2017) · Journal of Experimental Biology · doi:10.1242/jeb.148767 · Cited by 48 · see citing works
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Luo, Y., Xiao, Q., Shi, G., Wen, L., Chen, D., & Pan, G. (2019) · Journal of Fluids and Structures · doi:10.1016/j.jfluidstructs.2019.102778 · Cited by 46 · see citing works
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“Testing this hypothesis will require analyzing the functional morphology of modern analogs and expanding in silico models of hemitrichial mechanics (58) into asymmetric morphospaces.”
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Shi, G., & Xiao, Q. (2021) · European Journal of Mechanics - B/Fluids · doi:10.1016/j.euromechflu.2020.12.009 · Cited by 38 · see citing works
Hannard, F., Mirkhalaf, M., Ameri, A., & Barthelat, F. (2021) · Science Robotics · doi:10.1126/scirobotics.abf9710 · Cited by 38 · see citing works
Hale, M. E. (2014) · Integrative and Comparative Biology · doi:10.1093/icb/icu014 · Cited by 36 · see citing works
Functional morphology of the radialis muscle in shark tails
Flammang, B. E. (2009) · Journal of Morphology · doi:10.1002/jmor.10801 · Cited by 36 · see citing works
Taft, N. K., Lauder, G. V., & Madden, P. G. A. (2008) · Journal of Zoology · doi:10.1111/j.1469-7998.2008.00472.x · Cited by 35 · see citing works
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Shi, G., Xiao, Q., Zhu, Q., & Liao, W. (2019) · Bioinspiration & Biomimetics · doi:10.1088/1748-3190/ab0fbe · Cited by 23 · see citing works
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Self-citationCotel, A., & Webb, P. W. (2012) · The IMA volumes in mathematics and its applications · doi:10.1007/978-1-4614-3997-4_2 · Cited by 16 · see citing works
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Self-citationAiello, B. R., Hardy, A. R., Cherian, C., Olsen, A. M., Orsbon, C. P., Hale, M. E., & Westneat, M. W. (2018) · Journal of Morphology · doi:10.1002/jmor.20830 · Cited by 14 · see citing works
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Demirer, E., Oshinowo, O. A., Ertürk, A., & Alexeev, A. (2022) · Journal of Fluid Mechanics · doi:10.1017/jfm.2022.470 · Cited by 14 · see citing works
Chadwell, B. A., & Ashley‐Ross, M. A. (2011) · Journal of Morphology · doi:10.1002/jmor.11031 · Cited by 14 · see citing works
Flapping propulsion using a fin ray
Alben, S. (2011) · Journal of Fluid Mechanics · doi:10.1017/jfm.2011.506 · Cited by 14 · see citing works
Self-citationWalking on chains: the morphology and mechanics behind the fin ray derived limbs of sea-robins
Petersen, J. C., & Ramsay, J. B. (2020) · Journal of Experimental Biology · doi:10.1242/jeb.227140 · Cited by 12 · see citing works
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- Authors
- Alben, S., Madden, P. G., & Lauder, G. V.
- Affiliations
- Harvard University (US)
- Corresponding author
- Alben, Silas
- Venue
- Journal of The Royal Society Interface
- Publisher
- The Royal Society
- Published
- 2006-11-28
- Volume
- 4
- Issue
- 13
- Pages
- 243-256
- ISSN
- 1742-5662 (ISSN-L)
- 1742-5689
- PMC
- PMC2359861
- OpenAlex
- W2136233577
- Cited by
- 160
- References
- 14
- Citations by year
- 2026: 6 · 2025: 8 · 2024: 13 · 2023: 10 · 2022: 3 · 2021: 11 · 2020: 7 · 2019: 9 · 2018: 7 · 2017: 15 · 2016: 6 · 2015: 6 · 2014: 7 · 2013: 6 · 2012: 10
- FWCI
- 12.79
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Locations
- Journal of The Royal Society Interface (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Biomimetic flight and propulsion mechanisms
- Physical Sciences › Engineering › Biomedical Engineering › Soft Robotics and Applications
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Materials and Mechanics
- Keywords
- fin rays, Actinopterygii, muscle actuation, curvature distribution, force-displacement response, fish locomotion
- MeSH terms
- Animals, Biomechanical Phenomena, Elasticity, Extremities, Models, Biological, Perciformes, Tendons, Muscle, Skeletal
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