Fluid Pressurization in Cartilages and Menisci in the Normal and Repaired Human Knees

Computer simulation has found extensive applications in biomedical engineering. In particular, finite element methods have been used in orthopaedic biomechanics to help design prostheses and implants and understand joint injuries and diseases. We are interested in the mechanics of the knee joint that is associated with the fluid pressure and flow in the articular cartilages and menisci. This section presents a brief review of current status of computer mechanical modeling of the human knee and the cartilaginous tissues. The background of our present research will be understood in this section.

[1]  R Huiskes,et al.  Stresses in the local collagen network of articular cartilage: a poroviscoelastic fibril-reinforced finite element study. , 2004, Journal of biomechanics.

[2]  M. Biot.  MECHANICS OF DEFORMATION AND ACOUSTIC PROPAGATION IN POROUS MEDIA , 1962 .

[3]  W Herzog,et al.  The role of viscoelasticity of collagen fibers in articular cartilage: axial tension versus compression. , 2005, Medical engineering & physics.

[4]  P. Savard,et al.  Creep behavior of the intact and meniscectomy knee joints. , 2011, Journal of the mechanical behavior of biomedical materials.

[5]  S L Woo,et al.  A validated three-dimensional computational model of a human knee joint. , 1999, Journal of biomechanical engineering.

[6]  M S Hefzy,et al.  An analytical technique for modeling knee joint stiffness--Part I: Ligamentous forces. , 1982, Journal of biomechanical engineering.

[7]  M. Hull,et al.  A finite element model of the human knee joint for the study of tibio-femoral contact. , 2002, Journal of biomechanical engineering.

[8]  L. P. Li,et al.  Reconsideration on the use of elastic models to predict the instantaneous load response of the knee joint , 2011, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[9]  C. Armstrong,et al.  Changes in the deformational behavior of human hip cartilage with age. , 1980, Journal of biomechanical engineering.

[10]  A Shirazi-Adl,et al.  Analysis of partial meniscectomy and ACL reconstruction in knee joint biomechanics under a combined loading. , 2009, Clinical biomechanics.

[11]  J. Nowinski.  Bone Articulations as Systems of Poroelastic Bodies in Contact , 1971 .

[12]  B Calvo,et al.  Finite element analysis of the effect of meniscal tears and meniscectomies on human knee biomechanics. , 2005, Clinical biomechanics.

[13]  V C Mow,et al.  A transversely isotropic biphasic finite element model of the meniscus. , 1992, Journal of biomechanics.

[14]  W Herzog,et al.  Evaluation of the finite element software ABAQUS for biomechanical modelling of biphasic tissues. , 1997, Journal of biomechanics.

[15]  Ming Zhang,et al.  Three-dimensional finite element analysis of the foot during standing--a material sensitivity study. , 2005, Journal of biomechanics.

[16]  G A Ateshian,et al.  Biomechanics of diarthrodial joints: a review of twenty years of progress. , 1993, Journal of biomechanical engineering.

[17]  Hartmut Bossel,et al.  Modeling and simulation , 1994 .

[18]  D. Buckley.  Friction, Wear and Lubrication in Vacuum , 2014 .

[19]  V C Mow,et al.  Material properties and structure-function relationships in the menisci. , 1990, Clinical orthopaedics and related research.

[20]  W M Lai,et al.  Effects of nonlinear strain-dependent permeability and rate of compression on the stress behavior of articular cartilage. , 1981, Journal of biomechanical engineering.

[21]  Manuel Doblaré,et al.  Computer simulation of damage on distal femoral articular cartilage after meniscectomies , 2008, Comput. Biol. Medicine.

[22]  Miguel Ángel Martínez,et al.  A three-dimensional finite element analysis of the combined behavior of ligaments and menisci in the healthy human knee joint. , 2006, Journal of biomechanics.

[23]  M. Freeman,et al.  The determination of a creep modulus for articular cartilage from indentation tests of the human femoral head. , 1971, Journal of biomechanics.

[24]  Y Lanir,et al.  Biorheology and fluid flux in swelling tissues, II. Analysis of unconfined compressive response of transversely isotropic cartilage disc. , 1987, Biorheology.

[25]  J. Nowinski,et al.  The flexure and torsion of bones viewed as anisotropic poroelastic bodies , 1972 .

[26]  W. Hayes,et al.  A mathematical analysis for indentation tests of articular cartilage. , 1972, Journal of biomechanics.

[27]  J. Nowinski.  Stress concentration around a cylindrical cavity in a bone treated as a poroelastic body , 1972 .

[28]  A Shirazi-Adl,et al.  Investigation of mechanical behavior of articular cartilage by fibril reinforced poroelastic models. , 2003, Biorheology.

[29]  T D Brown,et al.  Experimental determination of the linear biphasic constitutive coefficients of human fetal proximal femoral chondroepiphysis. , 1986, Journal of biomechanics.

[30]  W Herzog,et al.  Arthroscopic evaluation of cartilage degeneration using indentation testing--influence of indenter geometry. , 2006, Clinical biomechanics.

[31]  W Herzog,et al.  Fluid pressure driven fibril reinforcement in creep and relaxation tests of articular cartilage. , 2008, Medical engineering & physics.

[32]  R. Aspden,et al.  Collagen orientations in the meniscus of the knee joint. , 1985, Journal of anatomy.

[33]  B. Simon,et al.  Multiphase Poroelastic Finite Element Models for Soft Tissue Structures , 1992 .

[34]  M. Bendjaballah,et al.  Biomechanics of the human knee joint in compression: reconstruction, mesh generation and finite element analysis , 1995 .

[35]  W M Lai,et al.  An asymptotic solution for the contact of two biphasic cartilage layers. , 1994, Journal of biomechanics.

[36]  Cyril B Frank,et al.  Congruency Effects on Load Bearing in Diarthrodial Joints , 2004, Computer methods in biomechanics and biomedical engineering.

[37]  J Black,et al.  The viscoelastic shear behavior of normal rabbit articular cartilage. , 1977, Journal of biomechanics.

[38]  LePing Li,et al.  Three-dimensional fibril-reinforced finite element model of articular cartilage , 2009, Medical & Biological Engineering & Computing.

[39]  John J. Callaghan,et al.  The adult knee , 2003 .

[40]  The arthroscopic anatomy of symptomatic meniscal lesions. , 1990 .

[41]  A Oloyede,et al.  The dramatic influence of loading velocity on the compressive response of articular cartilage. , 1992, Connective tissue research.

[42]  J. Dodds,et al.  The split-line pattern of the distal femur: A consideration in the orientation of autologous cartilage grafts. , 2002, Arthroscopy : the journal of arthroscopic & related surgery : official publication of the Arthroscopy Association of North America and the International Arthroscopy Association.

[43]  A Shirazi-Adl,et al.  Strain-rate dependent stiffness of articular cartilage in unconfined compression. , 2003, Journal of biomechanical engineering.

[44]  A Shirazi-Adl,et al.  Role of cartilage collagen fibrils networks in knee joint biomechanics under compression. , 2008, Journal of biomechanics.

[45]  M Doblaré,et al.  An accurate simulation model of anteriorly displaced TMJ discs with and without reduction. , 2007, Medical engineering & physics.

[46]  W Herzog,et al.  An improved solution for the contact of two biphasic cartilage layers. , 1997, Journal of biomechanics.

[47]  J. L. Nowinski,et al.  A model of the human skull as a poroelastic spherical shell subjected to a quasistatic load , 1970 .

[48]  A Shirazi-Adl,et al.  Nonlinear analysis of cartilage in unconfined ramp compression using a fibril reinforced poroelastic model. , 1999, Clinical biomechanics.

[49]  A. Shirazi-Adl,et al.  The role of fibril reinforcement in the mechanical behavior of cartilage. , 2002, Biorheology.

[50]  S L Woo,et al.  A comparison of the physical behavior of normal articular cartilage and the arthroplasty surface. , 1972, The Journal of bone and joint surgery. American volume.

[51]  W C Hayes,et al.  Viscoelastic properties of human articular cartilage. , 1971, Journal of applied physiology.

[52]  S. Hirokawa,et al.  Three-dimensional deformation and stress distribution in an analytical/computational model of the anterior cruciate ligament. , 2000, Journal of biomechanics.

[53]  W Herzog,et al.  The role of viscoelasticity of collagen fibers in articular cartilage: theory and numerical formulation. , 2004, Biorheology.

[54]  L. P. Li,et al.  A human knee joint model considering fluid pressure and fiber orientation in cartilages and menisci. , 2011, Medical engineering & physics.

[55]  Barbara Zielinska,et al.  3D finite element model of meniscectomy: changes in joint contact behavior. , 2006, Journal of biomechanical engineering.

[56]  A Shirazi-Adl,et al.  A fibril reinforced nonhomogeneous poroelastic model for articular cartilage: inhomogeneous response in unconfined compression. , 2000, Journal of biomechanics.

[57]  P S Walker,et al.  The load-bearing area in the knee joint. , 1972, Journal of biomechanics.

[58]  S. Woo,et al.  Measurements of nonhomogeneous, directional mechanical properties of articular cartilage in tension. , 1976, Journal of biomechanics.

[59]  Hamid Nayeb-Hashemi,et al.  The Combined Effect of Frontal Plane Tibiofemoral Knee Angle and Meniscectomy on the Cartilage Contact Stresses and Strains , 2009, Annals of Biomedical Engineering.

[60]  W Herzog,et al.  Strain-rate dependence of cartilage stiffness in unconfined compression: the role of fibril reinforcement versus tissue volume change in fluid pressurization. , 2004, Journal of biomechanics.

[61]  Savio Lau-Yuen Woo,et al.  Biomechanics of diarthrodial joints , 1990 .

[62]  Robert L. Spilker,et al.  A penalty finite element analysis for nonlinear mechanics of biphasic hydrated soft tissue under large deformation , 1991 .

[63]  A Shirazi-Adl,et al.  A fibril-network-reinforced biphasic model of cartilage in unconfined compression. , 1999, Journal of biomechanical engineering.

[64]  A. Shirazi-Adl,et al.  Alterations in Mechanical Behaviour of Articular Cartilage due to Changes in Depth Varying Material Properties--a Nonhomogeneous Poroelastic Model Study , 2002, Computer methods in biomechanics and biomedical engineering.

[65]  T. Fukubayashi,et al.  Load-bearing mode of the knee joint: physical behavior of the knee joint with or without menisci. , 1980, Clinical orthopaedics and related research.

[66]  Martin Schanz,et al.  A comparative study of Biot's theory and the linear Theory of Porous Media for wave propagation problems , 2003 .

[67]  Jeremy Suggs,et al.  The effect of graft stiffness on knee joint biomechanics after ACL reconstruction--a 3D computational simulation. , 2003, Clinical biomechanics.

[68]  Dr. KAROL Miller.  Technical Note: Modelling Soft Tissue Using Biphasic Theory - A Word of Caution. , 1998, Computer methods in biomechanics and biomedical engineering.

[69]  H. Piaggio.  Mathematical Analysis , 1955, Nature.

[70]  W. Herzog,et al.  Electromechanical response of articular cartilage in indentation—considerations on the determination of cartilage properties during arthroscopy , 2005, Computer methods in biomechanics and biomedical engineering.

[71]  J M T Penrose,et al.  Development of An Accurate Three-dimensional Finite Element Knee Model , 2002, Computer methods in biomechanics and biomedical engineering.

[72]  P. Greis,et al.  Meniscal injury: I. Basic science and evaluation. , 2002, The Journal of the American Academy of Orthopaedic Surgeons.

[73]  N. D. Weiss,et al.  Knee Ligaments: Structure, Function, Injury, and Repair , 1991, The Yale Journal of Biology and Medicine.

[74]  V. Mow,et al.  Biphasic creep and stress relaxation of articular cartilage in compression? Theory and experiments. , 1980, Journal of biomechanical engineering.

[75]  P. Walker,et al.  The role of the menisci in force transmission across the knee. , 1975, Clinical orthopaedics and related research.

[76]  M. Biot.  General Theory of Three‐Dimensional Consolidation , 1941 .