Dynamic stabilization of rapid hexapedal locomotion

Journal of Experimental Biology

Volumn 205, Issue 18, 2002, Pages 2803-2823

  Jindrich, Devin L ^a   Full, Robert J ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Blaberus discoidalis; Cockroach; Locomotion; Mechanics; Neural control; Perturbation; Stability

Indexed keywords

ANIMAL; ARTICLE; AUDIOVISUAL EQUIPMENT; COCKROACH; ELECTROSTIMULATION; LOCOMOTION; MOTOR ACTIVITY; PHYSIOLOGY;

ANIMALS; COCKROACHES; ELECTRIC STIMULATION; LOCOMOTION; MOTION PICTURES; MOTOR ACTIVITY;

ANIMALIA; BLABERUS; BLABERUS DISCOIDALIS; BLATTARIA; HEXAPODA; INSECTA;

EID: 0036748419     PISSN: 00220949     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (80)

1. Ahn, A. N. and Full, R. J. (2002). A motor and a brake: two leg extensor muscles acting at the same joint manage energy differently in a running insect. J. Exp. Biol. 205, 379-389.
2. Alexander, R. McN. (1982). Locomotion of Animals. Glasgow: Blackie. 163pp.
3. Altendorfer, R., Moore, N., Komsuoglu, H., Buehler, M., Brown, H. B., Jr, McMordie, D., Saranli, U., Full, R. and Koditschek, D. E. (2001). RHex: A biologically inspired hexapod runner. J. Autonomous Robots 11, 207-213.
4. Bauby, C. E. and Kuo, A. D. (2000). Active control of lateral balance in human walking. J. Biomech. 33, 1433-1440.
5. Biewener, A. A. and Full, R. J. (1992). Force platform and kinematic analysis. In Biomechanics: Structures and Systems, a Practical Approach (ed. A. A. Biewener), pp. 45-73. Oxford: IRL Press at Oxford University Press.
6. Blickhan, R. (1989). The spring-mass model for running and hopping. J. Biomech. 22, 1217-1227.
7. Blickhan, R. and Full, R. J. (1992), Mechanical work in terrestrial locomotion. In Biomechanics: Structures and Systems, a Practical Approach (ed. A. A. Biewener), pp. 75-96. Oxford: IRL Press at Oxford University Press.
8. Blickhan, R. and Full, R. J. (1993). Similarity in multilegged locomotion: bouncing like a monopode. J. Comp. Physiol. A 173, 509-517.
9. Bonnard, M. and Pailhous, J. (1991). Intentional compensation for selective loading affecting human gait phases. J. Motor Behav. 23, 4-12.
10. Brown, I. E. and Loeb, G. E. (2000). A reductionist approach to creating and using neuromusculoskeletal models. In Biomechanics and Neural Control of Posture and Movement (ed. J. M. Winters and P. E. Crago), pp. 148-163. New York: Springer-Verlag.
11. Brown, T. I. H., Rack, P. M. H. and Ross, H. F. (1982). Forces generated at the thumb interphalangeal joint during imposed sinusoidal movements. J. Physiol., Lond. 332, 69-85.
12. Burrows, M. (1996). The Neurobiology of an Insect Brain. New York: Oxford University Press.
13. Camhi, J. M. and Johnson, E. N. (1999). High-frequency steering maneuvers mediated by tactile cues: antennal wall-following in the cockroach. J. Exp. Biol. 202, 631-643.
14. Camhi, J. M. and Levy, A. (1988). Organization of a complex movement: fixed and variable components of the cockroach escape behavior. J. Comp. Physiol. A 163, 317-328.
15. Camhi, J. M. and Nolen, T. G. (1981). Properties of the escape system of cockroaches during walking. J. Comp. Physiol. A 142, 339-346.
16. Campbell, K. B. and Kirkpatrick, R. D. (2001). Mechanical preflexes and neuromuscular function. In Proceedings of the ASME, vol. 50 (ed. R. D. Kamm, G. W. Schmid-Schonbein, G. A. Ateshian and M. S. Hefzy), pp. 591-592. New York: American Society of Mechanical Engineers.
17. Chang, Y.-H., Huang, H.-W. C., Hamerski, C. M. and Kram, R. (2000). The independent effects of gravity and inertia on running mechanics. J. Exp. Biol. 203, 229-238.
18. Cruse, H. (1985a). Which parameters control the leg movement of a walking insect? I. Velocity control during the stance phase. J. Exp. Biol. 116, 343-355.
19. Cruse, H. (1985b). Which parameters control the leg movement of a walking insect? II. The start of the swing phase. J. Exp. Biol. 116, 357-362.
20. Cruse, H. (1990). What mechanisms coordinate leg movement in walking arthropods? Trends Neurosci. 13, 15-21.
21. Cruse, H. and Schwarze, W. (1988). Mechanisms of coupling between the ipsilateral legs of a walking insect (Carassius morosus). J. Exp. Biol. 138, 455-469.
22. Delcomyn, F. (1985). Walking and running. In Comprehensive Insect Physiology, Biochemistry, and Pharmacology, vol. 5, Nervous System: Structure and Motor Function (ed. G. A. Kerkut and L. I. Gilbert), pp. 439-466. New York: Pergamon Press.
23. Dickinson, M. H., Farley, C. T., Full, R. J., Koehl, M. A. R., Kram, R. and Lehman, S. (2000). How animals move: an integrative view. Science 288, 100-106.
24. Esteki, A. and Mansour, J. M. (1996). An experimentally based nonlinear viscoelastic model of joint passive moment. J. Biomech. 29, 443-450.
25. Farley, C., Glasheen, J. and McMahon, T. A. (1993). Running springs: speed and animal size. J. Exp. Biol. 185, 71-86.
26. Farley, C. T. and Taylor, C. R. (1991). A mechanical trigger for the trot-gallop transition in horses. Science 253, 306-308.
27. Fayyazuddin, A. and Dickinson, M. H. (1996). Haltere afferents provide direct, electrotonic input to a steering motor neuron in the blowfly, Calliphora. J. Neurosci. 16, 5225-5232.
28. Ferris, D. P., Liang, K. and Farley, C. T. (1999). Runners adjust leg stiffness for their first step on a new running surface. J. Biomech. 32, 787-794.
29. Full, R. J. (1989). Mechanics and energetics of terrestrial locomotion: bipeds to polypeds. In Energy Transformations in Cells and Organisms. Proceedings of the 10th Conference of the European Society for Comparative Physiology and Biochemistry (ed. W. Wieser and E. Gnaiger), pp. 175-181. Innsbruck, Stuttgart, New York: Georg Thieme Verlag.
30. Full, R. J., Blickhan, R. and Ting, L. H. (1991). Leg design in hexpedal runners. J. Exp. Biol. 158, 369-390.
31. Full, R. J. and Koditschek, D. E. (1999). Templates and anchors: neuromechanical hypotheses of legged locomotion on land. J. Exp. Biol. 202, 3325-3332.
32. Full, R. J., Kubow, T., Schmitt, J., Holmes, P. and Koditschek, D. (2002). Quantifying dynamic stability and maneuverability in legged locomotion. Am. Zool. (in press).
33. Full, R. J. and Meijer, K. (2001). Metrics of natural muscle function. In Electro Active Polymers (EAP) as Artificial Muscles, Reality Potential and Challenges (ed. Y. Bar-Cohen), pp. 67-83. New York: SPIE & William Andrew/Noyes Publications.
34. Full, R. J. and Tu, M. S. (1990). Mechanics of six-legged runners. J. Exp. Biol. 148, 129-146.
35. Full, R. J. and Tu, M. S. (1991). Mechanics of a rapid running insect: two-,four- and six-legged locomotion. J. Exp. Biol. 156, 215-231.
36. Fung, Y. C. (1993). Biomechanics: Mechanical Properties of Living Tissue. New York: Springer-Verlag. 568pp.
37. Grillner, S. (1972). The role of muscle stiffness in meeting the changing postural and locomotor requirements for force development by the ankle extensors. Acta Physiol. Scand. 86, 92-108.
38. Grillner, S. (1975). Locomotion in vertebrates: central mechanisms and reflex interaction. Physiol. Rev. 55, 247-304.
39. Guckenheimer, J. (1982). Noise in chaotic systems. Nature 298, 358-361.
40. Hajian, A. Z. and Howe, R. D. (1997). Identification of the mechanical impedance at the human finger tip. J. Biomech. Engng. 119, 109-114.
41. Hogan, N. (1990). Mechanical impedance of single- and multi-articular systems. In Multiple Muscle Systems: Biomechanics and Movement Organization (ed. J. Winters and S.-L. Woo), pp. 149-164. New York: Springer-Verlag.
42. Jamon, M. and Clarac, F. (1995). Locomotion patterns on freely moving crayfish (Procambarus clarkii). J. Exp. Biol. 198, 683-700.
43. Jander, J. P. (1985). Mechanical stability in stick insects when walking straight and around curves. In Insect Locomotion (ed. M. Gewecke and G. Wendler), pp. 33-42. Berlin: Paul Parey.
44. Jindrich, D. L. (2001). Stability, maneuverability, and control of rapid hexapodal locomotion. PhD thesis, University of California at Berkeley.
45. Jindrich, D. L. and Full, R. J. (1999). Many-legged maneuverability: dynamics of turning in hexapods. J. Exp. Biol. 202, 1603-1623.
46. Joyce, G. C., Rack, P. M. H. and Ross, H. F. (1974). The forces generated at the human elbow joint in response to imposed sinusoidal movements of the forearm. J. Physiol., Lond. 240, 351-374.
47. Kondoh, Y., Okuma, J. and Newland, P. (1995). Dynamics of neurons controlling movements of a locust hind leg: Weiner kernel analysis of the responses of proprioceptive afferents. J. Neurophysiol. 75, 1829-1842.
48. Kram, R., Wong, B. and Full, R. J. (1997). Three-dimensional kinematics and limb kinetic energy of running cockroaches. J. Exp. Biol. 200, 1919-1929.
49. Kubow, T. M. and Full, R. J. (1999). The role of the mechanical system in control: a hypothesis of self-stabilization in hexapedal runners. Phil. Trans. R. Soc. Lond. B 354, 849-861.
50. Levi, R. and Camhi, J. M. (1996). Producing directed behaviour. Muscle activity patterns of the cockroach escape response. J. Exp. Biol. 199, 563-568.
51. Mackinnon, C. D. and Winter, D. A. (1993). Control of whole body balance in the frontal plane during human walking. J. Biomech. 26, 633-644.
52. Matheson, T. and Field, L. H. (1995). An elaborate tension receptor system highlights sensory complexity in the hind leg of the locust. J. Exp. Biol. 198, 1673-1689.
53. McGeer, T.(1990). Passive dynamic walking. Int. J. Robot. Res. 9, 62-82.
54. McIntyre, J. and Bizzi, E. (1993). Servo hypotheses for the biological control of movement. J. Motor Behav. 25, 193-202.
55. McMahon, T. A. and Cheng, G. C. (1990). The mechanics of running: how does stiffness couple with speed? J. Biomech. 23, 65-78.
56. Morgan, D. L. (1990). New insights into the behavior of muscle during active lengthening. Biophys. J. 57, 209-221.
57. Nye, S. W. and Ritzmann, R. E. (1992). Motion analysis of leg joints associated with escape turns of the cockroach, Periplaneta americana. J. Comp. Physiol. A 171, 183-194.
58. Pearson, K. G. and Iles, J. F. (1973). Nervous mechanisms underlying intersegmental co-ordination of leg movements during walking in the cockroach. J. Exp. Biol. 58, 725-744.
59. Rack, P. M. H. (1970). The significance of mechanical properties of muscle in the reflex control of posture. In Excitatory Synaptic Mechanisms. Proceedings of the Fifth International Meeting of Neurobiologists (Sandefjord, Norway) (ed. P. Andersen and J. K. S. Jansen), pp. 317-322. Universitetsforlaget, Oslo: Scandinavian University Books.
60. Rack, P. M. H. and Westbury, D. R. (1974). The short range stiffness of active mammalian muscle and its effects on mechanical properties. J. Physiol., Lond. 240, 331-350.
61. Raibert, M. H., Brown, H. B., Jr and Chepponis, M. (1984). Experiments in balance with a 3D one-legged hopping machine. Int. J. Robot Res. 3, 75-92.
62. Ridgel, A. L., Frazier, F., DiCaprio, R. A. and Zill, S. (1999). Active signalling of leg loading and unloading in the cockroach. J. Neurophysiol. 81, 1432-1437.
63. Ridgel, A. L., Frazier, S. F. and Zill, S. N. (2001). Dynamic responses of tibial campaniform sensilla studied by substrate displacement in freely moving cockroaches. J. Comp. Physiol. A 187, 405-420.
64. Schaefer, P. L., Kondagunta, V. and Ritzmann, R. E. (1994). Motion analysis of escape movements evoked by tactile stimulation in the cockroach, Periplaneta americana. J. Exp. Biol. 190, 287-294.
65. Schmitt, J., Garcia, M., Razo, R. C., Holmes, P. and Full, R. J. (2002). Dynamics and stability of legged locomotion in the horizontal plane: a test case using insects. Biol. Cybern. 86, 343-353.
66. Schmitt, J. and Holmes, P. (2000a). Mechanical models for insect locomotion: dynamics and stability in the horizontal plane. I. Theory. Biol. Cybern. 83, 501-515.
67. Schmitt, J. and Holmes, P. (2000b). Mechanical models for insect locomotion: dynamics and stability in the horizontal plane. II. Application. Biol. Cybern. 83, 517-527.
68. Schmitt, J. and Holmes, P. (2002). Mechanical models for insect locomotion: active muscles and energy losses. Biol. Cybern. (in press).
69. Schwind, W. (1998). Spring loaded inverted pendulum running: a plant model. PhD thesis, University of Michigan.
70. Seyfarth, A., Geyer, H., Günther, M. and Blickhan, R. (2002). A movement criterion for running. J. Biomech. 35, 649-655.
71. Seyfarth, A., Günther, M. and Blickhan, R. (2001). Stable operation of an elastic three-segment leg. Biol. Cybern. 84, 365-382.
72. Strogatz, S. H. (1994). Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Reading, MA: Addison-Wesley. 498pp.
73. Taylor, C. R., Heglund, N. C., McMahon, T. A. and Looney, T. R. (1980). Energetic cost of generating muscular force during running: a comparison of large and small animals. J. Exp. Biol. 86, 9-18.
74. Ting, L. H., Blickhan, R. and Full, R. J. (1994). Dynamic and static stability in hexapedal runners. J. Exp. Biol. 197, 251-269.
75. Townsend, M. A. (1985). Biped gait stabilization via foot placement. J. Biomech. 18, 21-38.
76. Tu, M. S. and Dickinson, M. H. (1996). The control of wing kinematics by two steering muscles of the blowfly (Calliphora vicina). J. Comp. Physiol. A 178, 813-830.
77. Wagner, H. and Blickhan, R. (1999). Stabilizing function of skeletal muscles: an analytical investigation. J. Theor. Biol. 199, 163-179.
78. Yang, J. F., Winter, D. A. and Wells, R. P. (1990). Postural dynamics of walking in humans. Biol. Cybern. 62, 321-330.
79. Zajac, F. E. and Gordon, M. E. (1989). Determining muscle's force and action in multi-articular movement. Exerc. Sport Sci. Rev. 17, 187-230.
80. Zollikofer, C. P. E. (1994). Stepping patterns in ants. III. Influence of load. J. Exp. Biol. 192, 119-127.