Structurally, the articular cartilages are heterogeneous owing to nonuniform distribution and orientation of its constituents. The oversimplification of this soft tissue as a homogeneous material is generally considered in the simulation domain to estimate contact pressure along with other physical responses. Hence, there is a need for investigating knee cartilages for their actual response to external stimuli. In this article, impact of material and geometrical heterogeneity of the cartilage is resolved using well known material models. The findings are compared with conventional homogeneous models. The results indicate vital differences in contact pressure distribution and tissue deformation. Further, this study paves way for standardizing material models to extract maximum information possible for investigating knee mechanics with variable geometry and case specific parameters.
GillTJVan de VeldeSKWingDW, et al. Tibiofemoral and patellofemoral kinematics after reconstruction of an isolated posterior cruciate ligament injury: in vivo analysis during lunge. Am J Sports Med2009; 37: 2377–2385.
2.
DrakeRLVogelAWMitchellAWM. Gray’s anatomy for Students. 4th ed.Philadelphia, PA: Elsevier, 2019.
3.
ShiraziRShirazi-AdlA. Computational biomechanics of articular cartilage of human knee joint: effect of osteochondral defects. J Biomech2009; 42: 2458–2465.
4.
SmithCRVignosMFLenhartRL, et al. The influence of component alignment and ligament properties on tibiofemoral contact forces in total knee replacement. J Biomech Eng2016; 138: 021017.
5.
Naghibi BeidokhtiHJanssenDKhoshgoftarM, et al. A comparison between dynamic implicit and explicit finite element simulations of the native knee joint. Med Eng Phys2016; 38: 1123–1130.
6.
HarisABeng Chye TanV. Stress response envelopes of intact tibiofemoral joint and knee osteoarthritis. Proc Inst Mech Eng H2020; 234: 1151–1161.
7.
PierceDMRickenTHolzapfelGA. A hyperelastic biphasic fibre-reinforced model of articular cartilage considering distributed collagen fibre orientations: continuum basis, computational aspects and applications. Comput Methods Biomech Biomed Eng2013; 16: 1344–1361.
8.
JurvelinJSBuschmannMDHunzikerEB. Mechanical anisotropy of the human knee articular cartilage in compression. Proc Inst Mech Eng H2003; 217: 215–219.
9.
Sophia FoxAJBediARodeoSA. The basic science of articular cartilage: structure, composition, and function. Sports Health2009; 1: 461–468.
10.
TanskaPMononenMEKorhonenRK. A multi-scale finite element model for investigation of chondrocyte mechanics in normal and medial meniscectomy human knee joint during walking. J Biomech2015; 48: 1397–1406.
11.
MengQAnSDamionRA, et al. The effect of collagen fibril orientation on the biphasic mechanics of articular cartilage. J Mech Behav Biomed Mater2017; 65: 439–453.
12.
ChangoorANeleaMMéthotS, et al. Structural characteristics of the collagen network in human normal, degraded and repair articular cartilages observed in polarized light and scanning electron microscopies. Osteoarthr Cartil2011; 19: 1458–1468.
13.
KazemiMDabiriYLiLP. Recent advances in computational mechanics of the human knee joint. Comput Math Methods Med2013; 2013: 718423.
14.
VenäläinenMSMononenMESaloJ, et al. Quantitative evaluation of the mechanical risks caused by focal cartilage defects in the knee. Sci Rep2016; 6(1): 37538.
15.
BursaćPMObitzTWEisenbergSR, et al. Confined and unconfined stress relaxation of cartilage: appropriateness of a transversely isotropic analysis. J Biomech1999; 32: 1125–1130.
16.
ShiraziRShirazi-AdlAHurtigM. Role of cartilage collagen fibrils networks in knee joint biomechanics under compression. J Biomech2008; 41: 3340–3348.
17.
OrozcoGATanskaPMononenME, et al. The effect of constitutive representations and structural constituents of ligaments on knee joint mechanics. Sci Rep2018; 8(1): 2323.
18.
JulkunenPWilsonWJurvelinJS, et al. Stress-relaxation of human patellar articular cartilage in unconfined compression: Prediction of mechanical response by tissue composition and structure. J Biomech2008; 41: 1978–1986.
19.
HalonenKSDzialoCMMannisiM, et al. Workflow assessing the effect of gait alterations on stresses in the medial tibial cartilage - combined musculoskeletal modelling and finite element analysis. Sci Rep2017; 7(1): 17396.
20.
MengQJinZWilcoxR, et al. Computational investigation of the time-dependent contact behaviour of the human tibiofemoral joint under body weight. Proc Inst Mech Eng H2014; 228: 1193–1207.
21.
HalonenKSMononenMEJurvelinJS, et al. Importance of patella, quadriceps forces, and depthwise cartilage structure on knee joint motion and cartilage response during gait. J Biomech Eng2016; 138: 1–11.
22.
FaisalTRAdouniMDhaherYY. The effect of fibrillar degradation on the mechanics of articular cartilage: a computational model. Biomech Model Mechanobiol2019; 18: 733–751.
23.
TradZBarkaouiAChafraM, et al. Finite element analysis of the effect of high tibial osteotomy correction angle on articular cartilage loading. Proc Inst Mech Eng H2018; 232: 553–564.
24.
DonahueTLHHullMLRashidMM, et al. A finite element model of the human knee joint for the study of tibio-femoral contact. J Biomech Eng2002; 124: 273–280.
25.
ZhangKLiLYangL, et al. Effect of degenerative and radial tears of the meniscus and resultant meniscectomy on the knee joint: a finite element analysis. J Orthop Translat2019; 18: 20–31.
26.
LiLYangXYangL, et al. Biomechanical analysis of the effect of medial meniscus degenerative and traumatic lesions on the knee joint. Am J Transl Res2019; 11: 542–556.
27.
AteshianGAWangHLaiWM. The role of interstitial fluid pressurization and surface porosities on the boundary friction of articular cartilage. J Tribol1998; 120: 241–248.
28.
KletsOMononenMETanskaP, et al. Comparison of different material models of articular cartilage in 3D computational modeling of the knee: data from the osteoarthritis initiative (OAI). J Biomech2016; 49: 3891–3900.
BolcosPOMononenMEMohammadiA, et al. Comparison between kinetic and kinetic-kinematic driven knee joint finite element models. Sci Rep2018; 8(1): 17351.
31.
KletsOMononenMELiukkonenMK, et al. Estimation of the effect of body weight on the development of osteoarthritis based on cumulative stresses in cartilage: data from the Osteoarthritis Initiative. Ann Biomed Eng2018; 46: 334–344.
32.
LiukkonenMKMononenMETanskaP, et al. Application of a semi-automatic cartilage segmentation method for biomechanical modeling of the knee joint. Comput Methods Biomech Biomed Eng2017; 20: 1453–1463.
33.
DenewethJMMcLeanSGArrudaEM. Evaluation of hyperelastic models for the non-linear and non-uniform high strain-rate mechanics of tibial cartilage. J Biomech2013; 46: 1604–1610.
34.
JefferyABlunnGArcherC, et al. Three-dimensional collagen architecture in bovine articular cartilage. J Bone Joint Surg Br1991; 73-B: 795–801.
35.
ClarkJM. Variation of collagen fiber alignment in a joint surface: a scanning electron microscope study of the tibial plateau in dog, rabbit, and man. J Orthop Res1991; 9: 246–257.
36.
MizrahiJMaroudasALanirY, et al. The ‘instantaneous’ deformation of cartilage: effects of collagen fiber orientation and osmotic stress. Biorheology1986; 23: 311–330.
37.
MarchiBCArrudaEMColemanRM. The effect of articular cartilage focal defect size and location in whole knee biomechanics models. J Biomech Eng2020; 142: 021002. DOI: 10.1115/1.4044032
38.
HosodaNSakaiNSawaeY, et al. Finite element analysis of articular cartilage model considering the configuration and biphasic property of the tissue. IFMBE Proc2009; 23: 1883–1887.
39.
MarchiBCArrudaEM. A study on the role of articular cartilage soft tissue constitutive form in models of whole knee biomechanics. Biomech Model Mechanobiol2017; 16: 117–138.
40.
HalonenKSMononenMEJurvelinJS, et al. Deformation of articular cartilage during static loading of a knee joint-experimental and finite element analysis. J Biomech2014; 47: 2467–2474.
41.
TomicAGrilloAFedericoS. Poroelastic materials reinforced by statistically oriented fibres-numerical implementation and application to articular cartilage. IMA J Appl Math2014; 79: 1027–1059.
42.
RajuVKoorataPKKamatY. Case study for contact pressure improvisation with graded implant material in articular cartilages of knee joint. J Mech Sci Technol2021; 35: 1049–1054.
43.
ErdemirASiboleS. Open Knee: a three-dimensional finite element representation of the knee joint. User’s Guid Version 1.0.0, https://simtk.org/home/openknee (2010) (accessed 3 July 2019).
44.
ErdemirA. Open Knee: open source modeling and simulation in knee biomechanics. J Knee Surg2016; 29: 107–116.
45.
SmithM. ABAQUS/Standard User’s Manual, Version 6.9. Providence. United States: Dassault Systèmes Simulia Corp, 2009.
46.
WilsonWvan DonkelaarCCvan RietbergenB, et al. Stresses in the local collagen network of articular cartilage: a poroviscoelastic fibril-reinforced finite element study. J Biomech2004; 37: 357–366.
47.
VaziriANayeb-HashemiHSinghA, et al. Influence of meniscectomy and meniscus replacement on the stress distribution in human knee joint. Ann Biomed Eng2008; 36: 1335–1344.
48.
WilsonWvan RietbergenBvan DonkelaarCC, et al. Pathways of load-induced cartilage damage causing cartilage degeneration in the knee after meniscectomy. J Biomech2003; 36: 845–851.
49.
ImeniMSeyfiBFatouraeeN, et al. Constitutive modeling of menisci tissue: a critical review of analytical and numerical approaches. Biomech Model Mechanobiol2020; 19: 1979–1996.
50.
PeñaECalvoBMartínezMA, et al. A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. J Biomech2006; 39: 1686–1701.
51.
ŁuczkiewiczPDaszkiewiczKWitkowskiW, et al. Influence of meniscus shape in the cross sectional plane on the knee contact mechanics. J Biomech2015; 48: 1356–1363.
52.
MorimotoYFerrettiMEkdahlM, et al. Tibiofemoral joint contact area and pressure after single- and double-bundle anterior cruciate ligament reconstruction. Arthroscopy2009; 25: 62–69.
53.
MarzoJMGurske-DePerioJ. Effects of medial meniscus posterior horn avulsion and repair on tibiofemoral contact area and peak contact pressure with clinical implications. Am J Sports Med2009; 37: 124–129.
54.
AllaireRMuriukiMGilbertsonL, et al. Biomechanical consequences of a tear of the posterior root of the medial meniscus: similar to total meniscectomy. J Bone Joint Surg Am2008; 90: 1922–1931.
55.
LeeSJAadalenKJMalaviyaP, et al. Tibiofemoral contact mechanics after serial medial meniscectomies in the human cadaveric knee. Am J Sports Med2006; 34: 1334–1344.
56.
PalettaGaJrManningTSnellE, et al. The effect of allograft meniscal replacement on intraarticular contact area and pressures in the human knee. A biomechanical study. Am J Sports Med1997; 25: 692–698.
57.
HalonenKSMononenMETöyräsJ, et al. Optimal graft stiffness and pre-strain restore normal joint motion and cartilage responses in ACL reconstructed knee. J Biomech2016; 49: 2566–2576.
58.
ChenACBaeWCSchinaglRM, et al. Depth- and strain-dependent mechanical and electromechanical properties of full-thickness bovine articular cartilage in confined compression. J Biomech2001; 34(1): 1–12.
59.
YangNHCanavanPKNayeb-HashemiH. The effect of the frontal plane tibiofemoral angle and varus knee moment on the contact stress and strain at the knee cartilage. J Appl Biomech2010; 26: 432–443.
60.
YangNHCanavanPKNayeb-HashemiH, et al. Protocol for constructing subject-specific biomechanical models of knee joint. Comput Methods Biomech Biomed Eng2010; 13: 589–603.
61.
MononenMEMikkolaMTJulkunenP, et al. Effect of superficial collagen patterns and fibrillation of femoral articular cartilage on knee joint mechanics-A 3D finite element analysis. J Biomech2012; 45: 579–587.
62.
LiukkonenMKMononenMEKletsO, et al. Simulation of subject-specific progression of knee osteoarthritis and comparison to experimental follow-up data: Data from the osteoarthritis initiative. Sci Rep2017; 7(1): 9177.
63.
MononenMEJurvelinJSKorhonenRK. Implementation of a gait cycle loading into healthy and meniscectomised knee joint models with fibril-reinforced articular cartilage. Comput Methods Biomech Biomed Eng2015; 18: 141–152.
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