A viscoelastic poromechanical model of the knee joint in large compression

Medical Engineering and Physics

Volumn 36, Issue 8, 2014, Pages 998-1006

  Kazemi, M ^a   Li, L P ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

Creep; Finite deformation; Finite element analysis; Fluid pressure; Human knee joint; Stress relaxation

Indexed keywords

CARTILAGE; CREEP; ELASTICITY; FINITE ELEMENT METHOD; POROUS MATERIALS; REINFORCEMENT; STRESS RELAXATION; VISCOELASTICITY;

CONTACT PRESSURE DISTRIBUTION; FINITE DEFORMATIONS; FLUID PRESSURES; FORTRAN SUBROUTINE; HUMAN KNEE JOINT; NEARLY INCOMPRESSIBLE; NON-FIBRILLAR MATRIXES; PATHOLOGICAL CONDITIONS;

JOINTS (ANATOMY);

COLLAGEN;

ARTICLE; ARTICULAR CARTILAGE; BIOMECHANICS; BONE STRESS; FINITE ELEMENT ANALYSIS; JOINT PRESSURE; JOINT STABILITY; KNEE; KNEE FUNCTION; KNEE MENISCUS; NONBIOLOGICAL MODEL; PRIORITY JOURNAL; SOFT TISSUE; VISCOELASTIC POROMECHANICAL MODEL; VISCOELASTICITY; ADULT; ALGORITHM; ANATOMY AND HISTOLOGY; ANIMAL; BIOLOGICAL MODEL; BOVINAE; COMPUTER PROGRAM; ELASTICITY; HUMAN; MALE; MECHANICS; NUCLEAR MAGNETIC RESONANCE IMAGING; PHYSIOLOGY; PRESSURE; VALIDATION STUDY;

ADULT; ALGORITHMS; ANIMALS; BIOMECHANICAL PHENOMENA; CARTILAGE, ARTICULAR; CATTLE; COLLAGEN; ELASTICITY; FINITE ELEMENT ANALYSIS; HUMANS; KNEE JOINT; MAGNETIC RESONANCE IMAGING; MALE; MECHANICAL PROCESSES; MENISCI, TIBIAL; MODELS, BIOLOGICAL; PRESSURE; SOFTWARE;

EID: 84903700526     PISSN: 13504533     EISSN: 18734030     Source Type: Journal    
DOI: 10.1016/j.medengphy.2014.04.004     Document Type: Article

References (50)

1. Bendjaballah M.Z., Shirazi-Adl A., Zukor D.J. Biomechancis of the human knee joint in compression: reconstruction, mesh generation and finite element analysis. Knee 1995, 2:69-79.
2. Li G., Gil J., Kanamori A., Woo S.L. A validated three-dimensional computational model of a human knee joint. J Biomech Eng 1999, 121(6):657.
3. Haut Donahue T.L., Hull M.L., Rashid M.M., Jacobs C.R. A finite element model of the human knee joint for the study of tibio-femoral contact. J Biomech Eng 2002, 124:273-280.
4. Shirazi R., Shirazi-Adl A., Hurtig M. Role of cartilage collagen fibrils networks in knee joint biomechanics under compression. J Biomech 2008, 41:3340-3348.
5. Peña E., Calvo B., Martínez M.A., Palanca D., Doblaré M. Finite element analysis of the effect of meniscal tears and meniscectomies on human knee biomechanics. Clin Biomech 2005, 20:498-507.
6. Zielinska B., Donahue T.L. 3D finite element model of meniscectomy: changes in joint contact behavior. J Biomech Eng 2006, 128:115-123.
7. Yang N., Nayeb-Hashemi H., Canavan P.K. The combined effect of frontal plane tibiofemoral knee angle and meniscectomy on the cartilage contact stresses and strains. Ann Biomed Eng 2009, 37:2360-2372.
8. Shirazi R., Shirazi-Adl A. Analysis of partial meniscectomy and ACL reconstruction in knee joint biomechanics under a combined loading. Clin Biomech 2009, 24:755-761.
9. Netravali N.A., Koo S., Giori N.J., Andriacchi T.P. The effect of kinematic and kinetic changes on meniscal strains during gait. J Biomech Eng 2011, 133(1):011006.
10. Peña E., del Palomar A., Calvo B., Martinez M., Doblare M. Computational modelling of diarthrodial joints: physiological, pathological and pos-surgery simulations. Arch Comput Methods Eng 2007, 14(1):47-91.
11. Shirazi R., Shirazi-Adl A. Computational biomechanics of articular cartilage of human knee joint: effect of osteochondral defects. J Biomech 2009, 42(15):2458-2465.
12. Papaioannou G., Demetropoulos C., King Y. Predicting the effects of knee focal articular surface injury with a patient-specific finite element model. Knee 2010, 17(1):61-68.
13. Biot M.A. General theory of three-dimensional consolidation. J Appl Phys 1941, 12:155-164.
14. Ateshian G.A., Ellis B.J., Weiss J.A. Equivalence between short-time biphasic and incompressible elastic material responses. J Biomech Eng 2007, 129(3):405-412.
15. Wilson W., van Rietbergen B., van Donkelaar C.C., Huiskes R. Pathways of load-induced cartilage damage causing cartilage degeneration in the knee after meniscectomy. J Biomech 2003, 36(6):845-851.
16. Adeeb S.M., Sayed Ahmed E.Y., Matyas J., Hart D.A., Frank C.B., Shrive N.G. Congruency effects on load bearing in diarthrodial joints. Comput Methods Biomech Biomed Eng 2004, 7(3):147-157.
17. Mononen M.E., Julkunen P., Töyräs J., Jurvelin J.S., Kiviranta I., Korhonen R.K. Alterations in structure and properties of collagen network of osteoarthritic and repaired cartilage modify knee joint stresses. Biomech Model Mechanobiol 2011, 10(3):357-369.
18. Ateshian G.A., Maas S., Weiss J.A. Finite element algorithm for frictionless contact of porous permeable media under finite deformation and sliding. J Biomech Eng 2010, 132(6):061006.
19. Pérez del Palomar A., Doblaré M. An accurate simulation model of anteriorly displaced TMJ discs with and without reduction. Med Eng Phys 2007, 29:216-226.
20. Gu K.B., Li L.P. A human knee joint model considering fluid pressure and fiber orientation in cartilages and menisci. Med Eng Phys 2011, 33:497-503.
21. Li L.P., Gu K.B. Reconsideration on the use of elastic models to predict the instantaneous load response of the knee joint. Proc Inst Mech Eng H 2011, 225(H9):888-896.
22. Kazemi M., Li L.P., Savard P., Buschmann M.D. Creep behavior of the intact and meniscectomy knee joints. J Mech Behav Biomed Mater 2011, 4(7):1351-1358.
23. Kazemi M., Li L.P., Buschmann M.D., Savard P. Partial meniscectomy changes fluid pressurization in articular cartilage in human knees. J Biomech Eng 2012, 134(2):021001.
24. Mononen M.E., Mikkola M.T., Julkunen P., Ojala R., Nieminen M.T., Jurvelin J.S., et al. Effect of superficial collagen patterns and fibrillation of femoral articular cartilage on knee joint mechanics - a 3D finite element analysis. J Biomech 2012, 45(3):579-587.
25. Mononen M.E., Jurvelin J.S., Korhonen R.K. Implementation of a gait cycle loading into healthy and meniscectomised knee joint models with fibril-reinforced articular cartilage. Comput Methods Biomech Biomed Eng 2013, 10.1080/10255842.2013.783575.
26. Fung Y.C. Stress-strain history relations of soft tissues in simple elongation. Biomechanics: its foundations and objectives 1972, Prentice-Hall, Englewood Cliffs, NJ.
27. Fung Y.C. Biomechanics: mechanical properties of living tissues 1993, Springer-Verlag, New York.
28. Bonet J., Wood R.D. Nonlinear continuum mechanics for finite element analysis 2008, Cambridge University Press, Cambridge, UK; New York. 2nd ed.
29. Woo S.L.Y., Akeson W.H., Jemmott G.F. Measurements of nonhomogeneous, directional mechanical properties of articular cartilage in tension. J Biomech 1976, 9:785-791.
30. Li L.P., Korhonen R.K., Iivarinen J., Jurvelin J.S., Herzog W. Fluid pressure driven fibril reinforcement in creep and relaxation tests of articular cartilage. Med Eng Phys 2008, 30(2):182-189.
31. Tissakht M., Ahmed A.M. Tensile stress-strain characteristics of the human meniscal material. J Biomech 1995, 28(4):411-422.
32. Li L.P., Buschmann M.D., Shirazi-Adl A. Strain rate dependent stiffness of articular cartilage in unconfined compression. J Biomech Eng 2003, 125:161-168. (Erratum: 125: 566).
33. Suh J.K., Disilvestro M.R. Biphasic poroviscoelastic behavior of hydrated biological soft tissue. J Appl Mech 1999, 66(2):528-535.
34. Li L.P., Herzog W. The role of viscoelasticity of collagen fibers in articular cartilage: theory and numerical formulation. Biorheology 2004, 41(3-4):181-194.
35. Li L.P., Cheung J.T.M., Herzog W. Three-dimensional fibril-reinforced finite element model of articular cartilage. Med Biol Eng Comput 2009, 47:607-615.
36. Below S., Arnoczky S.P., Dodds J., Kooima C., Walter N. The split-line pattern of the distal femur: a consideration in the orientation of autologous cartilage grafts. J Arthrosc Relat Surg 2002, 18:613-617.
37. Mesfar W., Shirazi-Adl A. 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 2006, 9(4):201-209.
38. Peña E., Calvo B., Martínez M.A., Doblaré M. A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. J Biomech 2006, 39:1686-1701.
39. Walker P.S., Erkman M.J. The role of the menisci in force transmission across the knee. Clin Orthop Relat Res 1975, 109:184-192.
40. Kurosawa H., Fukubayashi T., Nakajima H. Load-bearing mode of the knee joint: physical behavior of the knee joint with or without menisci. Clin Orthop Relat Res 1980, 149:283-290.
41. Mow V.C., Ateshian G.A., Spilker R.L. Biomechanics of diarthrodial joints: a review of twenty years of progress. J Biomech Eng 1993, 115:460-467.
42. Shrive N.G., O'Connor J.J., Goodfellow J.W. Load-bearing in the knee joint. Clin Orthop Relat Res 1978, 131:279-287.
43. Bingham J.T., Papannagari R., Van de Velde S.K., Gross C., Gill T.J., Felson D.T., et al. In vivo cartilage contact deformation in the healthy human tibiofemoral joint. Rheumatology (Oxford) 2008, 47(11):1622-1627.
44. Fukubayashi T., Kurosawa H. The contact area and pressure distribution pattern of the knee: a study of normal and osteoarthrotic knee joints. Acta Orthop Scand 1980, 51(6):871-879.
45. Brown T.D., Shaw D.T. In vitro contact stress distribution on the femoral condyles. J Orthop Res 1984, 2(2):190-199.
46. Morimoto Y., Ferretti M., Ekdahl M., Smolinski P., Fu F.H. Tibiofemoral joint contact area and pressure after single- and double-bundle anterior cruciate ligament reconstruction. Arthroscopy 2009, 25(1):62-69.
47. Krause W.R., Pope M.H., Johnson R.J., Wilder D.G. Mechanical changes in the knee after meniscectomy. J Bone Joint Surg Am 1976, 58(5):599-604.
48. Seedhom B.B., Hargreaves D.J. Transmission of the load in the knee joint with special reference to the role of the menisci: Part II. Experimental results, discussion and conclusions. Proc Inst Mech Eng H 1979, 8(4):220-228.
49. Inaba H.I., Arai M.A., Watanabe W.W. Influence of the varus-valgus instability on the contact of the femoro-tibial joint. Proc Inst Mech Eng H 1990, 204(1):61-64.
50. Oloyede A., Broom N.D. The generalized consolidation of articular cartilage: an investigation of its near-physiological response to static load. Connect Tissue Res 1994, 31(1):75-86.