Flexing computational muscle: Modeling and simulation of musculotendon dynamics

Journal of Biomechanical Engineering

Volumn 135, Issue 2, 2013, Pages

  Millard, Matthew ^a   Uchida, Thomas ^a   Seth, Ajay ^a   Delp, Scott L ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL MOTION; BENCHMARK DATA; COMPUTATIONAL SPEED; EQUILIBRIUM MODELS; ESSENTIAL COMPONENT; FORCE PROFILE; HIGH-ACTIVATION; LOW ACTIVATION; MEAN ABSOLUTE ERROR; MODELING AND SIMULATION; MUSCLE FORCE; OPENSIM; PHYSICAL EXPERIMENTS; SIMULATION BENCHMARK; SIMULATION SPEED;

COMPUTER SIMULATION; DIGITAL STORAGE; DYNAMICS; ERRORS; MUSCLE;

TENDONS;

ARTICLE; BIOLOGICAL MODEL; ELASTICITY; MOVEMENT (PHYSIOLOGY); MUSCLE CONTRACTION; MUSCLE ISOMETRIC CONTRACTION; MUSCLE STRENGTH; MUSCULOSKELETAL FUNCTION; MUSCULOSKELETAL SYSTEM PARAMETERS; MUSCULOTENDON MODEL; RIGIDITY; SIMULATION; TENDON; BIOMECHANICS; COMPUTER SIMULATION; HUMAN; MUSCLE; PHYSIOLOGY; QUALITY CONTROL;

BENCHMARKING; BIOMECHANICS; COMPUTER SIMULATION; ELASTICITY; HUMANS; MUSCLES; TENDONS;

EID: 84873690713     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4023390     Document Type: Article

References (62)

1. Zajac, F. E., Neptune, R. R., and Kautz, S. A., 2002, "Biomechanics and Muscle Coordination of Human Walking: Part I: Introduction to Concepts, Power Transfer, Dynamics and Simulations," Gait Posture, 16(3), pp. 215-232 (Pubitemid 35341767)
2. Zajac, F. E., Neptune, R. R., and Kautz, S. A., 2003, "Biomechanics and Muscle Coordination of Human Walking: Part II: Lessons From Dynamical Simulations and Clinical Implications," Gait Posture, 17(1), pp. 1-17 (Pubitemid 36132184)
3. Anderson, F. C., and Pandy, M. G., 2001, "Dynamic Optimization of Human Walking," ASME J. Biomech. Eng., 123(5), pp. 381-390 (Pubitemid 32938934)
4. Ackermann, M., and van den Bogert, A. J., 2010, "Optimality Principles for Model-Based Prediction of Human Gait," J. Biomech., 43(6), pp. 1055-1060
5. Arnold, E. M., and Delp, S. L., 2011, "Fibre Operating Lengths of Human Lower Limb Muscles During Walking," Philos. T. R. Soc. B, 366(1570), pp. 1530-1539
6. Liu, M. Q., Anderson, F. C., Pandy, M. G., and Delp, S. L., 2006, "Muscles That Support the Body Also Modulate Forward Progression During Walking," J. Biomech., 39(14), pp. 2623-2630 (Pubitemid 44465921)
7. Hamner, S. R., Seth, A., and Delp, S. L., 2010, "Muscle Contributions to Propulsion and Support During Running," J. Biomech., 43(14), pp. 2709-2716
8. Neptune, R. R., and Sasaki, K., 2005, "Ankle Plantar Flexor Force Production Is an Important Determinant of the Preferred Walk-to-Run Transition Speed," J. Exp. Biol., 208(5), pp. 799-808 (Pubitemid 40428157)
9. Selbie, W. S., and Caldwell, G. E., 1996, "A Simulation Study of Vertical Jumping From Different Starting Postures," J. Biomech., 29(9), pp. 1137-1146 (Pubitemid 26302179)
10. Neptune, R. R., and Hull, M. L., 1999, "A Theoretical Analysis of Preferred Pedaling Rate Selection in Endurance Cycling," J. Biomech., 32(4), pp. 409-415 (Pubitemid 29156707)
11. Neptune, R. R., and van den Bogert, A. J., 1998, "Standard Mechanical Energy Analyses Do Not Correlate With Muscle Work in Cycling," J. Biomech., 31(3), pp. 239-245 (Pubitemid 28279285)
12. van der Krogt, M. M., Delp, S. L., and Schwartz, M. H., 2012, "How Robust Is Human Gait to Muscle Weakness?," Gait Posture, 36(1), pp. 113-119
13. Steele, K. M., Seth, A., Hicks, J. L., Schwartz, M. S., and Delp, S. L., 2010, "Muscle Contributions to Support and Progression During Single-Limb Stance in Crouch Gait," J. Biomech., 43(11), pp. 2099-2105
14. Crabtree, C. A., and Higginson, J. S., 2009, "Modeling Neuromuscular Effects of Ankle Foot Orthoses (AFOs) in Computer Simulations of Gait," Gait Posture, 29(1), pp. 65-70
15. Hicks, J. L., Schwartz, M. H., Arnold, A. S., and Delp, S. L., 2008, "Crouched Postures Reduce the Capacity of Muscles to Extend the Hip and Knee During the Single-Limb Stance Phase of Gait," J. Biomech., 41(5), pp. 960-967
16. Fregly, B. J., Reinbolt, J. A., Rooney, K. L., Mitchell, K. H., and Chmielewski, T. L., 2007, "Design of Patient-Specific Gait Modifications for Knee Osteoarthritis Rehabilitation," IEEE Trans. Biomed. Eng., 54(9), pp. 1687-1695 (Pubitemid 47304040)
17. Riener, R., and Fuhr, T., 1998, "Patient-Driven Control of FES-Supported Standing Up: A Simulation Study," IEEE Trans. Rehab. Eng., 6(2), pp. 113-124 (Pubitemid 28268635)
18. Delp, S. L., Loan, J. P., Hoy, M. G., Zajac, F. E., Topp, E. L., and Rosen, J. M., 1990, "An Interactive Graphics-Based Model of the Lower Extremity to Study Orthopaedic Surgical Procedures," IEEE Trans. Biomed. Eng., 37(8), pp. 757-767 (Pubitemid 20324141)
19. Rasmussen, J., Tørholm, S., and de Zee, M., 2009, "Computational Analysis of the Influence of Seat Pan Inclination and Friction on Muscle Activity and Spinal Joint Forces," Int. J. Ind. Ergonom., 39(1), pp. 52-57
20. Eisenberg, E., Hill, T. L., and Chen, Y., 1980, "Cross-Bridge Model of Muscle Contraction. Quantitative Analysis," Biophys. J., 29(2), pp. 195-227 (Pubitemid 10161281)
21. Zahalak, G. I., and Ma, S.-P., 1990, "Muscle Activation and Contraction: Constitutive Relations Based Directly on Cross-Bridge Kinetics," ASME J. Biomech. Eng., 112(1), pp. 52-62 (Pubitemid 20123674)
22. Haselgrove, J. C., and Huxley, H. E., 1973, "X-ray Evidence for Radial Cross-Bridge Movement and for the Sliding Filament Model in Actively Contracting Skeletal Muscle," J. Mol. Biol., 77(4), pp. 549-568
23. Zajac, F. E., 1989, "Muscle and Tendon: Properties, Models, Scaling, and Application to Biomechanics and Motor Control," Crit. Rev. Biomed. Eng., 17(4), pp. 359-411. Available at: http://europepmc.org/abstract/MED/ 2676342
24. Epstein, M., and Herzog, W., 1998, Theoretical Models of Skeletal Muscle: Biological and Mathematical Considerations, Wiley, New York
25. Winters, J. M., and Stark, L., 1987, "Muscle Models: What Is Gained and What Is Lost by Varying Model Complexity," Biol. Cybern., 55(6), pp. 403-420 (Pubitemid 17030739)
26. Shi, P., and McPhee, J., 2000, "Dynamics of Flexible Multibody Systems Using Virtual Work and Linear Graph Theory," Multibody Syst. Dyn., 4(4), pp. 355-381
27. Stoianovici, D., and Hurmuzlu, Y., 1996, "A Critical Study of the Applicability of Rigid-Body Collision Theory," ASME J. Appl. Mech., 63(2), pp. 307-316 (Pubitemid 126764468)
28. Bowden, F. P., and Leben, L., 1939, "The Nature of Sliding and the Analysis of Friction," Proc. R. Soc. Lon. Ser. A, 169(938), pp. 371-391
29. Krylow, A. M., and Sandercock, T. G., 1997, "Dynamic Force Responses of Muscle Involving Eccentric Contraction," J. Biomech., 30(1), pp. 27-33 (Pubitemid 26421553)
30. Perreault, E. J., Heckman, C. J., and Sandercock, T. G., 2003, "Hill Muscle Model Errors During Movement Are Greatest Within the Physiologically Relevant Range of Motor Unit Firing Rates," J. Biomech., 36(2), pp. 211-218 (Pubitemid 36110583)
31. Delp, S. L., Anderson, F. C., Arnold, A. S., Loan, P., Habib, A., John, C. T., Guendelman, E., and Thelen, D. G., 2007, "OpenSim: Open-Source Software to Create and Analyze Dynamic Simulations of Movement," IEEE Trans. Biomed. Eng., 54(11), pp. 1940-1950 (Pubitemid 350006059)
32. Seth, A., Sherman, M., Reinbolt, J. A., and Delp, S. L., 2011, "OpenSim: A Musculoskeletal Modeling and Simulation Framework for In Silico Investigations and Exchange," Procedia IUTAM, Symposium on Human Body Dynamics, 2, pp. 212-232
33. Reinbolt, J. A., Seth, A., and Delp, S. L., 2011, "Simulation of Human Movement: Applications Using OpenSim," Procedia IUTAM, Symposium on Human Body Dynamics, 2, pp. 186-198
34. Matsubara, I., and Elliott, G. F., 1972, "X-ray Diffraction Studies on Skinned Single Fibres of Frog Skeletal Muscle," J. Mol. Biol., 72(3), pp. 657-669
35. Randhawa, A., Jackman, M. E., and Wakeling, J. M., 2012, "Muscle Gearing During Isotonic and Isokinetic Movements in the Ankle Plantarflexors," Eur. J. Appl. Physiol., 113(2), pp. 437-447
36. Brainerd, E. L., and Azizi, E., 2005, "Muscle Fiber Angle, Segment Bulging and Architectural Gear Ratio in Segmented Musculature," J. Exp. Biol., 208(17), pp. 3249-3261 (Pubitemid 41399773)
37. Arnold, E. M., Ward, S. R., Lieber, R. L., and Delp, S. L., 2010, "A Model of the Lower Limb for Analysis of Human Movement," Ann. Biomed. Eng., 38(2), pp. 269-279
38. Winters, J. M., 1995, "An Improved Muscle-Reflex Actuator for Use in Large-Scale Neuromusculoskeletal Models," Ann. Biomed. Eng., 23(4), pp. 359-374
39. Thelen, D. G., 2003, "Adjustment of Muscle Mechanics Model Parameters to Simulate Dynamic Contractions in Older Adults," ASME J. Biomech. Eng., 125(1), pp. 70-77 (Pubitemid 36297228)
40. Cheng, E. J., Brown, I. E., and Loeb, G. E., 2000, "Virtual Muscle: A Computational Approach to Understanding the Effects of Muscle Properties on Motor Control," J. Neurosci. Meth., 101(2), pp. 117-130
41. Magnusson, S. P., Aagaard, P., Rosager, S., Dyhre-Poulsen, P., and Kjaer, M., 2001, "Load-Displacement Properties of the Human Triceps Surae Aponeurosis In Vivo," J. Physiol., 531(1), pp. 277-288 (Pubitemid 32178044)
42. Maganaris, C. N., and Paul, J. P., 2002, "Tensile Properties of the In Vivo Human Gastrocnemius Tendon," J. Biomech., 35(12), pp. 1639-1646 (Pubitemid 35341787)
43. Winters, T. M., Takahashi, M., Lieber, R. L., and Ward, S. R., 2011, "Whole Muscle Length-Tension Relationships Are Accurately Modeled as Scaled Sarcomeres in Rabbit Hindlimb Muscles," J. Biomech., 44(1), pp. 109-115
44. Gollapudi, S. K., and Lin, D. C., 2009, "Experimental Determination of Sarcomere Force-Length Relationship in Type-I Human Skeletal Muscle Fibers," J. Biomech., 42(13), pp. 2011-2016
45. Mashima, H., 1984, "Force-Velocity Relation and Contractility in Striated Muscles," Jap. J. Physiol., 34(1), pp. 1-17 (Pubitemid 14100071)
46. Joyce, G. C., Rack, P. M. H., and Westbury, D. R., 1969, "The Mechanical Properties of Cat Soleus Muscle During Controlled Lengthening and Shortening Movements," J. Physiol., 204(2), pp. 461-474. Available at: http://jp.physoc.org/ content/204/2/461.abstract
47. Mortenson, M. E., 2006, Geometric Modeling, 3rd ed. Industrial Press, New York
48. van den Bogert, A. J., Blana, D., and Heinrich, D., 2011, "Implicit Methods for Efficient Musculoskeletal Simulation and Optimal Control," Procedia IUTAM, Symposium on Human Body Dynamics, 2, pp. 297-316
49. Hogan, N., 1985, "The Mechanics of Multi-Joint Posture and Movement Control," Biol. Cybern., 52(5), pp. 315-331 (Pubitemid 15234729)
50. Vinnars, E., Bergstöm, J., and Fürst, P., 1975, "Influence of the Postoperative State on the Intracellular Free Amino Acids in Human Muscle Tissue," Ann. Surg., 182(6), pp. 665-671
51. Hairer, E., Nørsett, S. P., and Wanner, G., 1987, Solving Ordinary Differential Equations I: Nonstiff Problems, 2nd ed. Springer-Verlag, Berlin
52. Sherman, M. A., Seth, A., and Delp, S. L., 2011, "Simbody: Multibody Dynamics for Biomedical Research," Procedia IUTAM, Symposium on Human Body Dynamics, 2, pp. 241-261
53. Talmadge, R. J., Roy, R. R., Caiozzo, V. J., and Edgerton, V. R., 2002, "Mechanical Properties of Rat Soleus After Long-Term Spinal Cord Transection," J. Appl. Physiol., 93(4), pp. 1487-1497
54. Nelder, J. A., and Mead, R., 1965, "A Simplex Method for Function Minimization," Comput. J., 7(4), pp. 308-313
55. Scott, S. H., Brown, I. E., and Loeb, G. E., 1996, "Mechanics of Feline Soleus: I. Effect of Fascicle Length and Velocity on Force Output," J. Muscle Res. Cell. M., 17(2), pp. 207-219 (Pubitemid 26191507)
56. He, J., Levine, W. S., and Loeb, G. E., 1991, "Feedback Gains for Correcting Small Perturbations to Standing Posture," IEEE Trans. Auto. Contr., 36(3), pp. 322-332
57. Hairer, E., and Wanner, G., 1991, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, 2nd ed. Springer-Verlag, Berlin
58. Yamaguchi, G. T., and Zajac, F. E., 1989, "A Planar Model of the Knee Joint to Characterize the Knee Extensor Mechanism," J. Biomech., 22(1), pp. 1-10 (Pubitemid 19032321)
59. Anderson, F. C., and Pandy, M. G., 1999, "A Dynamic Optimization Solution for Vertical Jumping in Three Dimensions," Comp. Meth. Biomech. Biomed. Eng., 2(3), pp. 201-231
60. Herzog, W., and Leonard, T. R., 2002, "Force Enhancement Following Stretching of Skeletal Muscle: A New Mechanism," J. Exp. Biol., 205(9), pp. 1275-1283. Available at: http://jeb.biologists.org/content/205/9/1275.short (Pubitemid 34853763)
61. Ranatunga, K. W., 1982, "Temperature-Dependence of Shortening Velocity and Rate of Isometric Tension Development in Rat Skeletal Muscle," J. Physiol., 329, pp. 465-483. Available at: http://jp.physoc.org/content/329/ 1/465.short (Pubitemid 12057927)
62. Westerblad, H., Allen, D. G., Bruton, J. D., Andrade, F. H., and Lännergren, J., 1998, "Mechanisms Underlying the Reduction of Isometric Force in Skeletal Muscle Fatigue," Acta Physiol. Scand., 162(3), pp. 253-260. (Pubitemid 28121403)