Probabilistic modeling of knee muscle moment arms: Effects of methods, origin-insertion, and kinematic variability

Annals of Biomedical Engineering

Volumn 35, Issue 9, 2007, Pages 1632-1642

  Pal, Saikat ^a   Langenderfer, Joseph E ^a   Stowe, Joshua Q ^a   Laz, Peter J ^a   Petrella, Anthony J ^b   Rullkoetter, Paul J ^a  

^a University of Denver   (United States)

^b JOHNSON AND JOHNSON   (United States)

Author keywords

Finite element modeling; Moment arm; Muscle attachment; Muscle excursion; Muscle insertion; Muscle origin; Muscle path; Probabilistic methods; Variability

Indexed keywords

BONE; FINITE ELEMENT METHOD; PROBABILISTIC LOGICS; TISSUE ENGINEERING;

MOMENT ARMS; MUSCLE ATTACHMENT; MUSCLE EXCURSION; MUSCLE INSERTION; MUSCLE ORIGIN; MUSCLE PATH; VARIABILITY;

MUSCLE;

ARTICLE; BIOLOGICAL MODEL; BIOMECHANICS; FINITE ELEMENT ANALYSIS; HISTOLOGY; HUMAN; JOINT CHARACTERISTICS AND FUNCTIONS; KNEE; MUSCULOSKELETAL FUNCTION; PHYSIOLOGY; SKELETAL MUSCLE; STATISTICAL MODEL;

BIOMECHANICS; FINITE ELEMENT ANALYSIS; HUMANS; KNEE JOINT; MODELS, BIOLOGICAL; MODELS, STATISTICAL; MUSCLE, SKELETAL; MUSCULOSKELETAL PHYSIOLOGY; RANGE OF MOTION, ARTICULAR;

EID: 35248820706     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-007-9334-6     Document Type: Article

References (40)

1. An K. N., B. M. Kwak, E. Y. Chao, B. F. Morrey 1984 Determination of muscle and joint forces: A new technique to solve the indeterminate problem. J. Biomech. Eng. 106:364-367
2. Arnold A. S., S. Salinas, D. J. Asakawa, S. L. Delp 2000 Accuracy of muscle moment arms estimated from MRI-based musculoskeletal models of the lower extremity. Comput. Aided Surg. 5:108-119
3. Blemker S. S., S. L. Delp 2006 Rectus femoris and vastus intermedius fiber excursions predicted by three-dimensional muscle models. J. Biomech. 39:1383-1391
4. Boyd S. K., J. L. Ronsky 1998 Instantaneous moment arm determination of the cat knee. J. Biomech. 31:279-283
5. Brand R. A., R. D. Crowninshield, C. E. Wittstock, D. R. Pedersen, C. R. Clark, F. M. van Krieken 1982 A model of lower extremity muscular anatomy. J. Biomech. Eng. 104:304-310
6. Buford W. L. Jr., F. M. Ivey Jr., J. D. Malone, R. M. Patterson, G. L. Peare, D. K. Nguyen, A. A. Stewart 1997 Muscle balance at the knee-moment arms for the normal knee and the ACL-minus knee. IEEE Trans. Rehabil. Eng. 5:367-379
7. Burkholder T. J., R. L. Lieber 1998 Sarcomere number adaptation after retinaculum transection in adult mice. J. Exp. Biol. 201:309-316
8. della Croce U., A. Cappozzo, D. C. Kerrigan 1999 Pelvis and lower limb anatomical landmark calibration precision and its propagation to bone geometry and joint angles. Med. Biol. Eng. Comput. 37:155-161
9. Delp, S. Surgery simulation: A computer-graphics system to analyze and design musculoskeletal reconstructions of the lower limb. PhD thesis, Stanford University, 1990
10. Dennis, D. A., R. D. Komistek, M. R. Mahfouz, B. D. Haas, and J. B. Stiehl. Multicenter determination of in vivo kinematics after total knee arthroplasty. Clin. Orthop. Relat. Res 416:37-57, 2003
11. Easley S. K., S. Pal, P. R. Tomaszewski, A. J. Petrella, P. J. Rullkoetter, P. J. Laz 2007 Finite element-based probabilistic analysis tool for orthopaedic applications. Comput. Methods Programs Biomed. 85:32-40
12. Gill H. S., J. J. O'Connor 1996 Biarticulating two-dimensional computer model of the human patellofemoral joint. Clin Biomech. 11:81-89
13. Haldar A., S. Mahadevan 2000 Probability, Reliability and Statistical Methods in Engineering Design. Wiley & Sons, Inc., New York, NY
14. Halloran J. P., S. K. Easley, A. J. Petrella, P. J. Rullkoetter 2005 Comparison of deformable and elastic foundation finite element simulations for predicting knee replacement mechanics. J. Biomech. Eng. 127:813-818
15. Herzog W., L. J. Read 1993 Lines of action and moment arms of the major force-carrying structures crossing the human knee joint. J. Anatomy 182:213-230
16. Hoy M. G., F. E. Zajac, M. E. Gordon 1990 A musculoskeletal model of the human lower extremity: the effect of muscle, tendon, and moment arm on the moment-angle relationship of musculotendon actuators at the hip, knee, and ankle. J. Biomech. 23:157-169
17. Hughes R. E., G. Niebur, J. Liu, K.-N An 1998 Comparison of two methods for computing abduction moment arms of the rotator cuff. J. Biomech. 31:157-160
18. Imran A., R. A. Huss, H. Holstein, J. J. O'Connor 2000 The variation in the orientations and moment arms of the knee extensor and flexor muscle tendons with increasing muscle force: a mathematical analysis. Proc. Inst. Mech. Eng. [H]. 214:277-286
19. Karlsson D., B. Peterson 1992 Towards a model for force predictions in the human shoulder. J. Biomech. 25:189-199
20. Kellis E., V. Baltzopoulos 1999 In vivo determination of the patella tendon and hamstrings moment arms in adult males using videofluoroscopy during submaximal knee extension and flexion. Clin. Biomech. 14:118-124
21. Kepple T. M., A. S. Arnold, S. J. Stanhope, K. L. Siegel 1994 Assessment of a method to estimate muscle attachments from surface landmarks: a 3D computer graphics approach. J. Biomech. 27:365-371
22. Komistek, R. D., D. A. Dennis, and M. Mahfouz. In vivo fluoroscopic analysis of the normal human knee. Clin. Orthop. Relat. Res. 410:69-81, 2003
23. Krevolin J. L., M. G. Pandy, J. C. Pearce 2004 Moment arm of the patellar tendon in the human knee. J. Biomech. 37:785-788
24. Laz P. J., S. Pal, J. P. Halloran, A. J. Petrella, P. J. Rullkoetter 2006 Probabilistic finite element prediction of knee wear simulator mechanics. J. Biomech. 39:2303-2310
25. Maganaris C. N. 2004 Imaging-based estimates of moment arm length in intact human muscle-tendons. Eur. J. Appl. Physiol. 91:130-139
26. Murray W. M., T. S. Buchanan, S. L. Delp 2002 Scaling of peak moment arms of elbow muscles with upper extremity bone dimensions. J. Biomech. 35:19-26
27. Murray W. M., S. L. Delp, T. S. Buchanan 1995 Variation of muscle moment arms with elbow and forearm position. J. Biomech. 28:513-525
28. Pal S., C. Hammill, P. Rullkoetter, M. Mahfouz, R. D. Komistek 2004 In vivo determination of tibiofemoral contact for subjects having PS and PCR TKA. Trans. ORS. 29:1380
29. Pandy M. G. 1999 Moment arm of a muscle force. In: J. O. Holloszy (ed) Exercise and Sport Sciences Reviews. Lippincott Williams & Wilkins, Philadelphia, PA, pp. 79-118
30. Smidt G. L. 1973 Biomechanical analysis of knee flexion and extension. J. Biomech. 6:79-92
31. Spoor C. W., J. L. van Leeuwen, W. J. van der Meulen, A. Huson 1991 Active force-length relationship of human lower-leg muscles estimated from morphological data: a comparison of geometric muscle models. Eur. J. Morphol. 29:137-160
32. Tsaopoulos D. E., V. Baltzopoulos, C. N. Maganaris 2006 Human patellar tendon moment arm length: measurement considerations and clinical implications for joint loading assessment. Clin. Biomech. 21:657-667
33. van der Helm F. C. T. 1994 A finite element musculoskeletal model of the shoulder mechanism. J. Biomech. 27:551-569
34. White S. C., H. J. Yack, D. A. Winter 1989 A three-dimensional musculoskeletal model for gait analysis. Anatomical variability estimates. J. Biomech. 22:885-893
35. Wilson D. L., Q. Zhu, J. L. Duerk, J. M. Mansour, K. Kilgore, P. E. Crago 1999 Estimation of tendon moment arms from three-dimensional magnetic resonance images. Ann. Biomed. Eng. 27:247-256
36. Woltring H. J., K. Long, P. J. Osterbauer, A. W. Fuhr 1994 Instantaneous helical axis estimation from 3-D video data in neck kinematics for whiplash diagnostics. J. Biomech. 27:1415-1432
37. Wu Y. T., H. R. Millwater, T. A. Cruse 1990 Advanced probabilistic structural-analysis method for implicit performance functions. Aiaa J. 28:1663-1669
38. Yoshiya S., N. Matsui, R. D. Komistek, D. A. Dennis, M. Mahfouz, M. Kurosaka 2005 In vivo kinematic comparison of posterior cruciate-retaining and posterior stabilized total knee arthroplasties under passive and weight-bearing conditions. J. Arthroplasty 20:777-783
39. Yuen T. J., M. S. Orendurff 2006 A comparison of gastrocnemius muscle-tendon unit length during gait using anatomic, cadaveric and MRI models. Gait Posture. 23:112-117
40. Zajac F. E. 1989 Muscle and tendon: properties, models, scaling, and application to biomechanics and motor control. Crit. Rev. Biomed. Eng. 17:359-411