A three-dimensional musculoskeletal model of the human knee joint. Part 1: Theoretical construction

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 1, Issue 2, 1997, Pages 87-108

  Pandy, Marcus G ^a   Sasaki, Kotara ^a   Kim, Seonfil ^a  

^a The University of Texas at Austin   (United States)

Author keywords

Knee joint mechanics; Musculoskeletal modeling

Indexed keywords

BONE; GEOMETRY; IMPLANTS (SURGICAL); JOINTS (ANATOMY); MECHANICAL PROPERTIES; MUSCLE; PHYSIOLOGICAL MODELS;

ANTERIOR POSTERIORS; AXIAL ROTATION; CONTACTING SURFACES; CRUCIATE LIGAMENTS; DISTAL FEMURS; ELASTIC ELEMENT; ELASTIC LAYERS; FEMORAL CONDYLES; FLAT SURFACES; HIGH ORDER POLYNOMIAL; HUMAN KNEE JOINT; KNEE FLEXIONS; MODEL RESULTS; MUSCULOSKELETAL MODEL; MUSCULOSKELETAL MODELING; QUANTITATIVE COMPARISON; RELATIVE MOVEMENT; RIGID BONES; THREE-DIMENSIONAL MODEL; TIBIAL PLATEAU;

THREE DIMENSIONAL;

EID: 0002379418     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/01495739708936697     Document Type: Article

References (55)

1. Renstrom. P., Arms. S., Stanwyck, T., Johnson. R. and Pope. M. (1986). Strain within the anterior cruciate ligament during hamstring and quadriceps activity. American Journal of Sports Medicine, 14,83-87.
2. Beynnon. B., Fleming. B., Johnson. R., Nichols. C, Renstrom. P. and Pope, M. (1995). Anterior cruciate ligament strain behavior during rehabilitation exercises in vivo. American Journal of Sports Medicine, 23, 24-34.
3. Lewis. J., Lew. W. and Markolf, K. (1993). The measurement of anterior cruciate ligament loads: Direct methods. In D. Jackson (ed.): The Anterior Crt/date Ligament: Current and Future Concepts. Raven Press, New York, pp. 95-100.
4. Ahmed. A. and Burke. D. (1983). In-vitro ntcasurcment of static pressure distribution in synovial joints. Part I: Tibial surface of the knee. Journal ofBiomechanical Engineering, 105, 216-225.
5. Huberti, H, and Hayes, W. (1984). Patellofemoral contact pressures: The influence of Q-angle and tendofemoral contact. Journal of Bone and Joint Surgery, 66-A, 715-724.
6. Singerman. R., Berilla. J. and Davy, D. (1995). Direct in vitro determination of the patellofernoral contact force for normal knees. Journal of Biomechanicai Engineering. 117. 8-14.
7. Smidt, G. L. (1973). Biomechanical analysis of knee flexion and extension. Journal of Biomechanics. 6, 79-92.
8. Nisell, R. (1985). Mechanics of the knee. ACf(I Orthopaediea Scandinavia. Supplementum. 216, 1-42.
9. Yamaguchi, G. and Zajac, F. (1989). A planar model of the knee joint to characterize the knee-extensor mechanism. Journal of Biomechanics. 22. 1-10.
10. Essinger. J., Leyvraz, P., Heegard, J. and Robertson, D. (1989). A mathematical model for the evaluation of the behavior during flexion of condylar-type knee prosthesis. Journal of Biomechanics. 22, 1229-1241.
11. Garg, A. and Walker, P. (1990). Prediction of total knee motion using a three-dimensional computer-graphics model. Journal of Biomechanics, 23.45-58.
12. O'Connor, J., Shercliff, T., Fitzpatrick, D., Bradley. J., Daniel, D., Biden, E. and Goodfellow, J. (1990). Geometry of the knee. In D. Daniel, W. Akeson, and J. O'Connor (eds.): Knee Ligament: Structure. Function. Injury. and Repair, Raven Press, New York. pp. 163-199.
13. Tumer, S. and Engin, A. (1993). Three-body segment dynamic model of the human knee. Journal of Biomechanical Engineering. 115, 357-365.
14. Shelburne, K. and Pandy, M, (1997). A musculoskeletal model of the knee for evaluating ligament forces during isometric contractions. Journal ofBiomechanics. 30, 163-176.
15. Morrison. J. (1968). Bioengineering analysis of force actions transmitted by the knee joint. Biomedical Engineering. 90, 164-170.
16. Crowninshield. R., Pope. M. and Johnson, R. (1976). An analytical model of the knee. Journal oj Biomechanics. 9, 397-405.
17. Wismans, J., Veldpaus. F. and Janssen, J. (1980). A threedimensional mathematical model of the knee-joint. Journal of Biomechanics, 13, 677-685.
18. Grood, E. and Hefzy, M. (1982). An analytical technique for modeling knee joint stiffness. Part I: Ligamentous forces. Journal of Biomechanical Engineering, 104, 330-337.
19. Blankevoort, L., Kuiper, J., Huiskes, R. and Grootenber, H. (1991). Articular contact in a three-dimensional model of the knee. Journal of Biomechanics, 24, 1019-1031.
20. Zavatsky. A. and O'Connor, J. (1992). A model of human knee ligaments in the sagittal plane. Part I: Response to passive flexion. Proceedings Institute ofMechanical Engineers. Part H, 206, 125-134.
21. Hefzy. M. and Grood, E. (1983). An analytical technique for modeling knee joint stiffness. Part II: Ligamentous geometric nonlinenrities. Journal oj Biomechanical Enginrering, 105, 145-153.
22. Blankevoort, L. and Huiskes, R. (1991). Ligament-bone interaction in a three-dimensional model of the knee. JourHal of Biomechanical Engineering, 113, 263-269.
23. Andriacchi, T., Mikcsz. R., Hampton. S. and Galante, J. (1983). Model studies of the stiffness characteristics of the human knee joint. Journal oj Biomechanics, 16, 23-29.
24. Spilker. R., Donzelli, P. and Mow. V. (1992). A transversely isotropic biphasic finite element model of the meniscus. Journal oj Biomechanics. 25. 1027-1045.
25. Kaufman. K., An, K., Litchy, W. and Chao. E. (1991). Physiological prediction of muscle forces. Part I: Theoretical formulation. Neuroscience, 40, 781-792.
26. Znvarsky. A. and O'Connor, J. (1993). Ligament forces at the knee during isometric quadriceps contractions. Proceedings Institute of Mechanical Engineers, Part II, 207, 7-18.
27. Grood, E. and Suntay. W. (1983). A joint coordinate system for the clinical description of three-dimensional motions: Application to the knee. Journal ofBone and Joint Surgery, 66-A, 725-734.
28. Johnson, K. (1985). Contact mechanics. Cambridge Univcrsity Press, pp. 85-152.
29. Kim, S. (1996). A three-dimensional, dynamic, musculoskeletal model of the human knee joint. PhD dissertation, Dept. of Mechanical Engineering, University of Texas at Austin.
30. Girgis, F., Marshall, J. and Monajem. A. (1975) The cruciate ligurncnts of the knee joint. Clinical Orthopaedics and Related Research; 106, 216-231.
31. Warren, L. and Marshall, J. (1979). The supporting structures and layers on the medial side of the knee. Journal of BOlle ami Joint Surgery, 61-A, 56-62.
32. Reicher, M. (1993). An atlas of normal multiplanar anatomy of the knee joint, In Mink, J. H., Reicher. M. A., Crucs, J. V. and Deutsch, A. L. (eds): MRI oj the Knee. Raven Press, New York, pp. 51-90.
33. Pandy, M. and Sasaki, K. (1997). A three-dimensional musculoskeletal model of the human knee joint. Part II, analysis of ligament function. Computer Methods in Blomeebonies and Biomedical Engineering (submitted).
34. Pandy, M., Zajac, F., Sim, E. and Levine, W. (1990). An optimal control model for maximum-height human jumping. Journal of Biomechanics, 23, 1185-1198.
35. Delp, S. (1990). Surgery simulation: A computer-graphics system to analyze and design musculoskeletal reconstructions of the lower limb. Ph.D. dissertation. Department of Mechanical Engineering, Stanford University, California.
36. Friederich, J. and Brand, R. (1990). Muscle fiber architecture in the human lower limb. Journal ofBiomechanics, 23, 91-95.
37. Goodfellow, J. and O'Connor, J. (1986). Clinical results of the Oxford knee. Clinical Orthopaedics and Related Research, 205, 21-42.
38. Draganich, L., Andriacchi, T. and Andersson, G. (1987). Interaction between intrinsic knee mechanics and the knee extensor mechanism. Journal of Orthopaedic Research, 5, 539-547.
39. Wilson, D., Feikes, J., Zavatsky, A., Bayona, F. and O'Connor, J. (1996). The one degree-of-freedom nature of the human knee joint: basis for a kinematic model. Proceedings oj European Society of Biomechanics Meeting, Belgium.
40. Herzog, W. and Read. L. (1993). Lines of action and momcnt arms of the major force-carrying structures crossing thc human knee joint. Journal of Anatomy, 182, 213-230.
41. Shelburne, K. (1996). Modeling the mechanics of the normal and reconstructed knee. PhD dissertation, Department of Mechanical Engineering, University of Texas at Austin.
42. Huiskes, R. and Blankevoort, L. (1990). The relationship between knee motion and articular surface geometry. In V. Mow, A. Ratcliffe and S. Woo (eds): Biomechanics oj Diarthrodial Joints. Volume II, Chapter 27, SpringerVerlag, pp. 269-286.
43. Goodfellow, J., Hungerford. D. S. and Zindel, M. (1976). Patellofemoral joint mechanics and pathology. Part I: Functional anatomy of the patellofernoral joint. Journal of Balle and Joint Surgery, 58-B, 287-290.
44. Levy, I., Torzilli, P., Gould, J. and Warren, R. (1989). The effect of lateral meniscectomy on motion of the knee. Journal oj Bone and Joint Surgery, 71-A. 401-406.
45. Levy, I., Torzilli, P. and Warren, R. (1982). The effect of medial meniscectomy on anterior-posterior anteriorposterior motion of the knee. Journal of Bone and Joint Surgery, 64-A, 883-888.
46. Moeinzadeh, M., Engin, A. and Akkas, N. (1983). Twodimensional dynamic rnodelJing of human knee joint. Journal oj Biomechanics, 16, 253-264.
47. Wongchaisuwat, c., Hemami, H. and Buchner, H. (1984). Control of sliding and rolling at natura) joints. Journal of Biomechunical Engineering, 106,368-375.
48. Loch, D., Luo, Z., Lewis, J. and Stewart, N. (1992). A theoretical model of the knee and ACL: Theory and experimental verification. Journal of Biomechanics, 25, 81-90.
49. Abdel-Rahrnan, E. and Hefzy, M. (1993). A two-dirnensional dynamic anatomical model of the human knee joint. Journal of Biomechanical Engineering, 115,357-365.
50. Hefzy, M. and Abdel-Rahman, E. (1996). Three-dimensional dynamic modeling of the human knee joint: Formulation and solution technique. Proceedings of the ASME Dynamic Systems and Control Division, DSC, 58, 909-916.
51. van Eijdcn, T., Kouwenhoven, E., Verburg, J. and Weijs, W. (1985). A mathematical model of the patellofernoral joint. Journal aJ Biomechanics, 19,219-229.
52. Hirakawa, S. (1991). Three-dimensional mathematical model analysis of the patelJofemoral joint. Journal of Biomechanics, 24, 659-671.
53. Hefzy, M. and Yang. H. (1993). A three-dimensional anatomical model of the human patellofemoral joint for the determination of patellofemoral motions and contact characteristics. Proceedings ofthe Institute ofMechanical Engineers, Part H, 15, 289-302.
54. Heegurd, J., Leyvraz, P., Curnier, A., Rakotomanana, L. and Huiskes, R. (1994). The biomechanics of the human patella during passive knee flexion. Journal of Biomechanics, 28, 1265-1279.
55. Beynnon, B., Yu, J., Huston, D., Fleming, B., Johnson, R., Haugh, L. and Pope, M. (1996). A sagittal plane model of the knee and cruciate ligaments with application of a sensitivity analysis. Journal oj Biomechanical Engineering, 118,227-239.