Hydrodynamics of C-Start Escape Responses of Fish as Studied with Simple Physical Models.

One of the most-studied unsteady locomotor behaviors exhibited by fishes is the c-start escape response. Although the kinematics of these responses have been studied extensively and two well-defined kinematic stages have been documented, only a few studies have focused on hydrodynamic patterns generated by fishes executing escape behaviors. Previous work has shown that escape responses by bluegill sunfish generate three distinct vortex rings, each with central orthogonal jet flows, and here we extend this conclusion to two other species: stickleback and mosquitofish. Jet #1 is formed by the tail during Stage 1, and moves in the same direction as Stage-2 movement of the fish, thereby reducing final escape-velocity but also rotating the fish. Jet #2, in contrast, moves approximately opposite to the final direction of the fish's motion and contains the bulk of the total fluid-momentum powering the escape response. Jet #3 forms during Stage 2 in the mid-body region and moves in a direction approximately perpendicular to jets 1 and 2, across the direction of movement of the body. In this study, we used a mechanical controller to impulsively move passively flexible plastic panels of three different stiffnesses in heave, pitch, and heave + pitch motions to study the effects of stiffness on unsteady hydrodynamics of escape. We were able to produce kinematics very similar to those of fish c-starts and also to reproduce the 3-jet hydrodynamic pattern of the c-start using a panel of medium flexural stiffness and the combined heave + pitch motion. This medium-stiffness panel matched the measured stiffness of the near-tail region of fish bodies. This motion also produced positive power when the panel straightened during stage 2 of the escape response. More flexible and stiffer panels resulted in non-biological kinematics and patterns of flow for all motions. The use of simple flexible models with a mechanical controller and program of fish-like motion is a promising approach for studying unsteady behaviors of fish which can be difficult to manipulate experimentally in live animals.

[1]  Ulrike K Müller,et al.  Escape trajectories are deflected when fish larvae intercept their own C-start wake , 2014, Journal of The Royal Society Interface.

[2]  G. Lauder,et al.  Hydrodynamics of the escape response in bluegill sunfish, Lepomis macrochirus , 2008, Journal of Experimental Biology.

[3]  Daniela Rus,et al.  Autonomous Soft Robotic Fish Capable of Escape Maneuvers Using Fluidic Elastomer Actuators. , 2014, Soft robotics.

[4]  G. Lauder,et al.  Passive robotic models of propulsion by the bodies and caudal fins of fish. , 2012, Integrative and comparative biology.

[5]  Brenden P. Epps,et al.  Impulse generated during unsteady maneuvering of swimming fish , 2007 .

[6]  Iman Borazjani,et al.  The functional role of caudal and anal/dorsal fins during the C-start of a bluegill sunfish , 2013, Journal of Experimental Biology.

[7]  S Tonia Hsieh,et al.  Thrash, flip, or jump: the behavioral and functional continuum of terrestrial locomotion in teleost fishes. , 2013, Integrative and comparative biology.

[8]  Michael S. Triantafyllou,et al.  Forces on oscillating foils for propulsion and maneuvering , 2003 .

[9]  Brenden P. Epps,et al.  Swimming performance of a biomimetic compliant fish-like robot , 2009 .

[10]  Jonathan P Bacon,et al.  Animal escapology II: escape trajectory case studies , 2011, Journal of Experimental Biology.

[11]  George V Lauder,et al.  Undulatory locomotion of flexible foils as biomimetic models for understanding fish propulsion , 2014, Journal of Experimental Biology.

[12]  H. Bleckmann,et al.  The ageing of the low-frequency water disturbances caused by swimming goldfish and its possible relevance to prey detection. , 2000, The Journal of experimental biology.

[13]  Jonathan P Bacon,et al.  Animal escapology I: theoretical issues and emerging trends in escape trajectories , 2011, Journal of Experimental Biology.

[14]  G. V. Lauder,et al.  Red and white muscle activity and kinematics of the escape response of the bluegill sunfish during swimming , 1993, Journal of Comparative Physiology A.

[15]  G. Claireaux,et al.  Environmental constraints upon locomotion and predator–prey interactions in aquatic organisms: an introduction , 2007, Philosophical Transactions of the Royal Society B: Biological Sciences.

[16]  George V. Lauder,et al.  Fish Locomotion: Biology and Robotics of Body and Fin-Based Movements , 2015 .

[17]  Paul W. Webb,et al.  Fast-start Performance and Body Form in Seven Species of Teleost Fish , 1978 .

[18]  Matthew J McHenry,et al.  Zebrafish larvae evade predators by sensing water flow , 2013, Journal of Experimental Biology.

[19]  Fotis Sotiropoulos,et al.  Hydrodynamics of the bluegill sunfish C-start escape response: three-dimensional simulations and comparison with experimental data , 2012, Journal of Experimental Biology.

[20]  C. A. Pell,et al.  Mechanical control of swimming speed: stiffness and axial wave form in undulating fish models , 1995, The Journal of experimental biology.

[21]  George V. Lauder,et al.  Bioinspiration from fish for smart material design and function , 2011 .

[22]  Jianwei Zhang,et al.  Implementing Flexible and Fast Turning Maneuvers of a Multijoint Robotic Fish , 2014, IEEE/ASME Transactions on Mechatronics.

[23]  Chunlin Zhou,et al.  Gait Planning for Steady Swimming Control of Biomimetic Fish Robots , 2009, Adv. Robotics.

[24]  Christopher J. Esposito,et al.  A robotic fish caudal fin: effects of stiffness and motor program on locomotor performance , 2012, Journal of Experimental Biology.

[25]  G. Lauder,et al.  Dynamics of freely swimming flexible foils , 2011 .

[26]  James M. Wakeling,et al.  Fast‐start Mechanics , 2005 .

[27]  George V Lauder,et al.  Median fin function during the escape response of bluegill sunfish (Lepomis macrochirus). I: Fin-ray orientation and movement , 2012, Journal of Experimental Biology.

[28]  Domenici,et al.  The kinematics and performance of fish fast-start swimming , 1997, The Journal of experimental biology.

[29]  John H. Long,et al.  Jumping sans legs: does elastic energy storage by the vertebral column power terrestrial jumps in bony fishes? , 2014, Zoology.

[30]  George V. Lauder,et al.  Robotic Models for Studying Undulatory Locomotion in Fishes , 2011 .

[31]  Christopher J. Esposito,et al.  Use of biorobotic models of highly deformable fins for studying the mechanics and control of fin forces in fishes. , 2011, Integrative and comparative biology.

[32]  Paul W. Webb,et al.  EFFECTS OF MEDIAN-FIN AMPUTATION ON FAST-START PERFORMANCE OF RAINBOW TROUT (SALMO GAIRDNERI) , 1977 .

[33]  J. H. Long Muscles, Elastic Energy, and the Dynamics of Body Stiffness in Swimming Eels' , 1998 .

[34]  Melina E. Hale,et al.  EVOLUTION OF BEHAVIOR AND NEURAL CONTROL OF THE FAST‐START ESCAPE RESPONSE , 2002, Evolution; international journal of organic evolution.

[35]  George V Lauder,et al.  The hydrodynamic function of shark skin and two biomimetic applications , 2012, Journal of Experimental Biology.

[36]  A. Smits,et al.  Scaling the propulsive performance of heaving flexible panels , 2013, Journal of Fluid Mechanics.

[37]  D. Weihs,et al.  The mechanism of rapid starting of slender fish. , 1973, Biorheology.

[38]  Paul W. Webb,et al.  Acceleration Performance of Rainbow Trout Salmo Gairdneri and Green Sunfish Lepomis Cyanellus , 1975 .

[39]  George V Lauder,et al.  Median fin function during the escape response of bluegill sunfish (Lepomis macrochirus). II: Fin-ray curvature , 2012, Journal of Experimental Biology.

[40]  Robert C. Eaton,et al.  Neural Mechanisms of Startle Behavior , 1984 .

[41]  A. Smits,et al.  Unsteady propulsion near a solid boundary , 2014, Journal of Fluid Mechanics.

[42]  Henri Korn,et al.  Escape behavior — brainstem and spinal cord circuitry and function , 1996, Current Opinion in Neurobiology.

[43]  George V Lauder,et al.  Fish locomotion: recent advances and new directions. , 2015, Annual review of marine science.

[44]  James Tangorra,et al.  Fish biorobotics: kinematics and hydrodynamics of self-propulsion , 2007, Journal of Experimental Biology.

[45]  J. Gray Directional Control of Fish Movement , 1933 .

[46]  M S Triantafyllou,et al.  A fast-starting mechanical fish that accelerates at 40 m s−2 , 2010, Bioinspiration & biomimetics.

[47]  G. Lauder,et al.  Hydrodynamic function of dorsal and anal fins in brook trout (Salvelinus fontinalis) , 2007, Journal of Experimental Biology.