Efficient probabilistic representation of tibiofemoral soft tissue constraint

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 12, Issue 6, 2009, Pages 651-659

  Baldwin, Mark A ^a   Laz, Peter J ^a   Stowe, Joshua Q ^a   Rullkoetter, Paul J ^a  

^a UNIVERSITY OF DENVER   (United States)

Author keywords

Attachment; Knee constraint; Ligament; Mechanical properties; Probabilistic

Indexed keywords

ADULT; ARTICLE; AUDIOVISUAL EQUIPMENT; FEMUR; FINITE ELEMENT ANALYSIS; HISTOLOGY; HUMAN; LIGAMENT; MALE; PROBABILITY; TIBIA; UNCERTAINTY;

ADULT; FEMUR; FINITE ELEMENT ANALYSIS; HUMANS; LIGAMENTS; MALE; MODELS, ANATOMIC; PROBABILITY; TIBIA; UNCERTAINTY;

EID: 77949892182     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840902822550     Document Type: Article

References (64)

1. Abdel-Rahman EM, Hefzy MS. 1998. Three-dimensional dynamic behaviour of the human knee joint under impact loading. Med Eng Phys. 20(4):276-290.
2. Amis AA, Bull AM, Gupte CM, Hijazi I, Race A, Robinson JR. 2003. Biomechanics of the PCL and related structures: posterolateral, posteromedial and meniscofemoral ligaments. Knee Surg Sports Traumatol Arthrosc. 11(5):271-281.
3. Bach JM, Hull ML, Patterson HA. 1997. Direct measurement of strain in the posterolateral bundle of the anterior cruciate ligament. J Biomech. 30(3):281-283.
4. Beillas P, Lee SW, Tashman S, Yang KH. 2007. Sensitivity of the tibio-femoral response to finite element modeling parameters. Comput Method Biomech Biomed Eng. 10(3): 209-221.
5. Bendjaballah MZ, Shirazi-Adl A. 1995. Menisci and stability of human knee in extension: a finite element model study. San Francisco, CA/New York, NY: ASME. pp. 313-314.
6. Bendjaballah MZ, Shirazi-Adl A, Zukor DJ. 1997. Passive knee joint mechanics in A-P forces - role of boundary conditions, cruciates, and menisci. Dallas, TX/Fairfield, NJ: ASME. pp. 143-144.
7. Blankevoort L, Huiskes R, De Lange A. 1988. The envelope of passive knee joint motion. J Biomech. 21(9):705-720.
8. Blankevoort L, Huiskes R, de Lange A. 1991a. Recruitment of knee joint ligaments. J Biomech Eng, Trans ASME. 113(1): 94-103.
9. Blankevoort L, Kuiper JH, Huiskes R, Grootenboer HJ. 1991b. Articular contact in a three-dimensional model of the knee. J Biomech. 24(11):1019-1031.
10. Blankevoort L, Huiskes R. 1996. Validation of a three-dimensional model of the knee. J Biomech. 29(7):955-961.
11. Bradley J, FitzPatrick D, Daniel D, Shercliff T, O'Connor J. 1988. Orientation of the cruciate ligament in the sagittal plane. A method of predicting its length-change with flexion. J Bone Joint Surg Br. 70(1):94-99.
12. Butler DL, Noyes FR, Grood ES. 1980. Ligamentous restraints to anterior-posterior drawer in the human knee. A biomechanical study. J Bone Joint Surg Am. 62(2):259-270.
13. Bylski-Austrow DI, Grood ES, Hefzy MS, Holden JP, Butler DL. 1990. Anterior cruciate ligament replacements. A mechanical study of femoral attachment location, flexion angle at tensioning, and initial tension. J Orthop Res. 8(4):522-531.
14. Caruntu DI, Hefzy MS. 2004. 3-D anatomically based dynamic modeling of the human knee to include tibio-femoral and patello-femoral joints. J Biomech Eng. 126(1):44-53.
15. Chandrashekar N, Mansouri H, Slauterbeck J, Hashemi J. 2006. Sex-based differences in the tensile properties of the human anterior cruciate ligament. J Biomech. 39(16):2943-2950.
16. Della Croce U, Cappozzo A, Kerrigan DC. 1999. Pelvis and lower limb anatomical landmark calibration precision and its propagation to bone geometry and joint angles. Med Biol Eng Comput. 37(2):155-161.
17. Easley SK, Pal S, Tomaszewski PR, Petrella AJ, Rullkoetter PJ, Laz PJ. 2007. Finite element-based probabilistic analysis tool for orthopaedic applications. Comput Methods Programs Biomed. 85(1):32-40.
18. Fukubayashi T, Torzilli PA, Sherman MF, Warren RF. 1982. An in vitro biomechanical evaluation of anterior-posterior motion of the knee. Tibial displacement, rotation, and torque. J Bone Joint Surg Am. 64(2):258-264.
19. Gardiner JC, Weiss JA. 2003. Subject-specific finite element analysis of the human medial collateral ligament during valgus knee loading. J Orthop Res. 21(6):1098-1106.
20. Girgis FG, Marshall JL, Monajem A. 1975. The cruciate ligaments of the knee joint. Anatomical, functional and experimental analysis. Clin Orthop Relat Res. 106(Jan-Feb):216-230.
21. Gollehon DL, Torzilli PA, Warren RF. 1987. The role of the posterolateral and cruciate ligaments in the stability of the human knee. A biomechanical study. J Bone Joint Surg Am. 69(2):233-242.
22. Grood ES, Stowers SF, Noyes FR. 1988. Limits of movement in the human knee. Effect of sectioning the posterior cruciate ligament and posterolateral structures. J Bone Joint Surg Am. 70(1):88-97.
23. Grood ES, Hefzy MS, Lindenfield TN. 1989. Factors affecting the region of most isometric femoral attachments. Part I: The posterior cruciate ligament. Am J Sports Med. 17(2): 197-207.
24. Harner CD, Xerogeanes JW, Livesay GA, Carlin GJ, Smith BA, Kusayama T, Kashiwaguchi S, Woo SL. 1995. The human posterior cruciate ligament complex: an interdisciplinary study. Ligament morphology and biomechanical evaluation. Am J Sports Med. 23(6):736-745.
25. Harner CD, Baek GH, Vogrin TM, Carlin GJ, Kashiwaguchi S, Woo SL. 1999. Quantitative analysis of human cruciate ligament insertions. Arthroscopy. 15(7):741-749.
26. Hefzy MS, Grood ES, Noyes FR. 1989. Factors affecting the region of most isometric femoral attachments. Part II: the anterior cruciate ligament. Am J Sports Med. 17(2): 208-216.
27. LaPrade RF, Ly TV, Wentorf FA, Engebretsen L. 2003. The posterolateral attachments of the knee: a qualitative and quantitative morphologic analysis of the fibular collateral ligament, popliteus tendon, popliteofibular ligament, and lateral gastrocnemius tendon. Am J Sports Med. 31(6): 854-860.
28. LaPrade RF, Engebretsen AH, Ly TV, Johansen S, Wentorf FA, Engebretsen L. 2007a. The anatomy of the medial part of the knee. J Bone Joint Surg Am. 89(9):2000-2010.
29. LaPrade RF, Morgan PM, Wentorf FA, Johansen S, Engebretsen L. 2007b. The anatomy of the posterior aspect of the knee. An anatomic study. J Bone Joint Surg Am. 89(4):758-764.
30. Laz PJ, Pal S, Halloran JP, Patrella AJ, Rullkoetter PJ. 2005. Probabilistic finite element predictions of knee wear simulator mechanics. J Biomech. 39(2):2303-2310.
31. Laz PJ, Stowe JQ, Baldwin MA, Petrella AJ, Rullkoetter P. 2007. Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics. J Biomech. 40(13):2831-2836.
32. Li G, Gil J, Kanamori A, Woo SLY. 1999. Validated three-dimensional computational model of a human knee joint. J Biomech Eng, Trans ASME. 121(6):657-662.
33. Li G, Suggs J, Gill T. 2002. The effect of anterior cruciate ligament injury on knee joint function under a simulated muscle load: a three-dimensional computational simulation. Ann Biomed Eng. 30(5):713-720.
34. Limbert G, Middleton J. 2006. A constitutive model of the posterior cruciate ligament. Med Eng Phys. 28(2):99-113.
35. Markolf KL, Mensch JS, Amstutz HC. 1976. Stiffness and laxity of the knee - the contributions of the supporting structures. A quantitative in vitro study. J Bone Joint Surg Am. 58(5): 583-594.
36. Markolf KL, Kochan A, Amstutz HC. 1984. Measurement of knee stiffness and laxity in patients with documented absence of the anterior cruciate ligament. J Bone Joint Surg Am. 66(2):242-252.
37. Maynard MJ, Deng X, Wickiewicz TL, Warren RF. 1996. The popliteofibular ligament. Rediscovery of a key element in posterolateral stability. Am J Sports Med. 24(3):311-316.
38. Mesfar W, Shirazi-Adl A. 2006. Biomechanics of changes in ACL and PCL material properties or prestrains in flexion under muscle force-implications in ligament reconstruction. Comput Methods Biomech Biomed Eng. 9(4):201-209.
39. Moglo K, Shirazi-Adl A. 2003a. Role of cruciate ligaments in the knee joint in flexion under drawer loads. Salzburg: International Association of Science and Technology for Development. pp. 120-125.
40. Moglo KE, Shirazi-Adl A. 2003b. Biomechanics of passive knee joint in drawer: load transmission in intact and ACL-deficient joints. Knee. 10(3):265-276.
41. Mommersteeg TJA, Blankevoort L, Huiskes R, Kooloos JGM, Kauer JMG. 1996a. Characterization of the mechanical behavior of human knee ligaments: a numerical-experimental approach. J Biomech. 29(2):151-160.
42. Mommersteeg TJA, Huiskes R, Blankevoort L, Kooloos JGM, Kauer JMG, Maathuis PGM. 1996b. Global verification study of a quasi-static knee model with multi-bundle ligaments. J Biomech. 29(12):1659-1664.
43. Mommersteeg TJA, Huiskes R, Blankevoort L, Kooloos JGM, Kauer JMG. 1997. An inverse dynamics modeling approach to determine the restraining function of human knee ligament bundles. J Biomech. 30(2):139-146.
44. Munshi M, Pretterklieber ML, Kwak S, Antonio GE, Trudell DJ, Resnick D. 2003. MR imaging, MR arthrography, and Computer Methods in Biomechanics and specimen correlation of the posterolateral corner of the knee: an anatomic study. Am J Roentgenol. 180(4):1095-1101.
45. Pal S, Langenderfer JE, Stowe JQ, Laz PJ, Petrella AJ, Rullkoetter PJ. 2007. Probabilistic modeling of knee muscle moment arms: effects of methods, origin-insertion, and kinematic variability. Ann Biomed Eng. 35(9):1632-1642.
46. Pal S, Haider H, Laz PJ, Knight LA, Rullkoetter PJ. 2008. Probabilistic computational modeling of total knee replacement wear. Wear. 264(7/8):701-707.
47. Park SE, Stamos BD, DeFrate LE, Gill TJ, Li G. 2004. The effect of posterior knee capsulotomy on posterior tibial translation during posterior cruciate ligament tibial inlay reconstruction. Am J Sports Med. 32(6):1514-1519.
48. Pena E, Calvo B, Martinez MA, Doblare M. 2005. A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. J Biomech. 39(9):1686-1701.
49. Pena E, Martinez MA, Calvo B, Palanca D, Doblare M. 2005. A finite element simulation of the effect of graft stiffness and graft tensioning in ACL reconstruction. Clin Biomech. 20(6):636-644.
50. Piziali RL, Seering WP, Nagel DA, Schurman DL. 1980. Function of the primary ligaments of the knee in anteior-posterior and medial-lateral motions. J Biomech. 13(9):777-784.
51. Race A, Amis AA. 1994. The mechanical properties of the two bundles of the human posterior cruciate ligament. J Biomech. 27(Jan):13-24.
52. Race A, Amis AA. 1996. Loading of the two bundles of the posterior cruciate ligament: an analysis of bundle function in a-P drawer. J Biomech. 29(7):873-879.
53. Ramaniraka NA, Terrier A, Theumann N, Siegrist O. 2005. Effects of the posterior cruciate ligament reconstruction on the biomechanics of the knee joint: a finite element analysis. Clin Biomech. 20(4):434-442.
54. Robinson JR, Sanchez-Ballester J, Bull AM, Thomas Rde W, Amis AA. 2004. The posteromedial corner revisited. An anatomical description of the passive restraining structures of the medial aspect of the human knee. J Bone Joint Surg Br. 86(5):674-681.
55. Robinson JR, Bull AMJ, Amis AA. 2005. Structural properties of the medial collateral ligament complex of the human knee. J Biomech. 38(5):1067-1074.
56. Robinson JR, Bull AM, Thomas RR, Amis AA. 2006. The role of the medial collateral ligament and posteromedial capsule in controlling knee laxity. Am J Sports Med. 34(11): 1815-1823.
57. Sakane M, Fox RJ, Woo SLY, Livesay GA, Li G, Fu FH. 1997. In situ forces in the anterior cruciate ligament and its bundles in response to anterior tibial loads. J Orthop Res. 15(2):285-293.
58. Shelburne KB, Pandy MG. 1997. Musculoskeletal model of the knee for evaluating ligament forces during isometric contractions. J Biomech. 30(2):163-176.
59. Shirazi-Adl A, Moglo KE. 2005. Effect of changes in cruciate ligaments pretensions on knee joint laxity and ligament forces. Comput Methods Biomech Biomed Engin. 8(1): 17-24.
60. Song Y, Debski RE, Musahl V, Thomas M, Woo SLY. 2004. A three-dimensional finite element model of the human anterior cruciate ligament: a computational analysis with experimental validation. J Biomech. 37(3):383-390.
61. Suggs J, Wang C, Li G. 2003. The effect of graft stiffness on knee joint biomechanics after ACL reconstruction - a 3D computational simulation. Clin Biomech. 18(1):35-43.
62. Weiss JA, Gardiner JC, Ellis BJ, Lujan TJ, Phatak NS. 2005. Three-dimensional finite element modeling of ligaments: technical aspects. Med Eng Phys. 27(10):845-861.
63. Wu YT, Millwater HR, Cruse TA. 1990. Advanced probabilistic structural-analysis method for implicit performance functions. AIAA J. 28(9):1663-1669.
64. Wymenga AB, Kats JJ, Kooloos J, Hillen B. 2006. Surgical anatomy of the medial collateral ligament and the postero-medial capsule of the knee. Knee Surg Sports Traumatol Arthrosc. 14(3):229-234.