Investigation of the biomechanical behaviour of articular cartilage in hindfoot joints.

Numerical models represent a powerful tool for investigating the biomechanical behavior of articular cartilages, in particular in the case of complex conformation of anatomical site. In the literature, there are complex non-linear-multiphase models for investigating the mechanical response of articular cartilages, but seldom implemented for the analysis of high organized structure such as the foot. In the present work, the biomechanical behavior of foot cartilage is investigated by means of a fiber-reinforced hyperelastic constitutive model. The constitutive parameters are obtained through the comparison between in vitro experimental indentation tests on cartilage and numerical analysis data interpreting the specific experimental conditions. A finite element model of the hindfoot region is developed. Particular attention is paid to model cartilage in order to respect its morphometric configuration, including also the synovial capsule. The reliability of the procedure adopted is evaluated by comparing the numerical response of tibio-talar joint model with in vivo experimental tests mimicking the foot response in stance configuration.

[1]  A Oloyede,et al.  Assessment of common hyperelastic constitutive equations for describing normal and osteoarthritic articular cartilage , 2009, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[2]  Adekunle Oloyede,et al.  Indentation stiffness does not discriminate between normal and degraded articular cartilage. , 2007, Clinical biomechanics.

[3]  J. Crandall,et al.  Quantification of ankle articular cartilage topography and thickness using a high resolution stereophotography system. , 2007, Osteoarthritis and cartilage.

[4]  Mansoor A Haider,et al.  A numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage. , 2006, Journal of biomechanics.

[5]  A.N. Natali,et al.  Biomechanical behaviour of ankle ligaments: constitutive formulation and numerical modelling , 2014, Computer methods in biomechanics and biomedical engineering.

[6]  J. Schurz,et al.  Rheology of synovial fluid. , 1987, Biorheology.

[7]  Thomas D Brown,et al.  Physical validation of a patient-specific contact finite element model of the ankle. , 2007, Journal of biomechanics.

[8]  José Jaime García,et al.  A biphasic viscohyperelastic fibril-reinforced model for articular cartilage: formulation and comparison with experimental data. , 2007, Journal of biomechanics.

[9]  Andrzej Miszczak,et al.  Properties of Cartilage on Micro- and Nanolevel , 2010 .

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

[11]  Krzysztof Wierzcholski,et al.  Friction force and pressure calculations for time-dependent impulsive intelligent lubrication of human hip joint. , 2010, Acta of bioengineering and biomechanics.

[12]  J. Buckwalter,et al.  Interspecies comparisons of in situ intrinsic mechanical properties of distal femoral cartilage , 1991, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[13]  P. Antunes,et al.  Non-Linear Finite Element Modelling of Anatomically Detailed 3 D Foot Model , 2007 .

[14]  J B Finlay,et al.  Survival of articular cartilage after controlled impact. , 1977, The Journal of bone and joint surgery. American volume.

[15]  H. Granhed,et al.  Clinical assessment of rheumatic diseases using viscoelastic parameters for synovial fluid. , 1990, Biorheology.

[16]  Thomas D Brown,et al.  Cartilage thickness in cadaveric ankles: measurement with double-contrast multi-detector row CT arthrography versus MR imaging. , 2004, Radiology.

[17]  Lu Wan,et al.  Determination of Real Time In-Vivo Cartilage Contact Deformation in the Ankle Joint , 2007 .

[18]  L. Pruitt,et al.  A fiber reinforced poroelastic model of nanoindentation of porcine costal cartilage: a combined experimental and finite element approach. , 2009, Journal of the mechanical behavior of biomedical materials.

[19]  J. Bryant,et al.  Rheological properties of synovial fluids. , 2007, Biorheology.

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

[21]  A van der Voet,et al.  A comparison of finite element codes for the solution of biphasic poroelastic problems. , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[22]  Amit Gefen,et al.  Stress analysis of the standing foot following surgical plantar fascia release. , 2002, Journal of biomechanics.

[23]  C. G. Fontanella,et al.  Biomechanical behaviour of heel pad tissue experimental testing, constitutive formulation, and numerical modelling , 2011, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

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

[25]  F Eckstein,et al.  The distribution of cartilage thickness within the joints of the lower limb of elderly individuals , 1998, Journal of anatomy.

[26]  Y. Takakura,et al.  Cartilage thickness of the talar dome. , 2005, Arthroscopy : the journal of arthroscopic & related surgery : official publication of the Arthroscopy Association of North America and the International Arthroscopy Association.

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

[28]  Magdalena Müller-Gerbl,et al.  Computer tomographic evaluation of talar edge configuration for osteochondral graft transplantation , 2012, Clinical anatomy.

[29]  K. Kuettner,et al.  Cartilage degeneration in different human joints. , 2005, Osteoarthritis and cartilage.

[30]  Klaus Scheffler,et al.  In Vivo Biochemical 7.0 Tesla Magnetic Resonance: Preliminary Results of dGEMRIC, Zonal T2, and T2* Mapping of Articular Cartilage , 2008, Investigative radiology.

[31]  Thomas D Brown,et al.  Intra-articular Contact Stress Distributions at the Ankle Throughout Stance Phase–patient-specific Finite Element Analysis as a Metric of Degeneration Propensity , 2006, Biomechanics and modeling in mechanobiology.

[32]  Seonghun Park,et al.  Cartilage Mechanical Response under Dynamic Compression at Physiological Stress Levels Following Collagenase Digestion , 2008, Annals of Biomedical Engineering.

[33]  K. Wierzcholski.  Stochastic impulsive pressure calculations for time dependent human hip joint lubrication. , 2012, Acta of bioengineering and biomechanics.

[34]  D G Smith,et al.  Mechanical disruption of human patellar cartilage by repetitive loading in vitro. , 1988, Clinical orthopaedics and related research.

[35]  Petro Julkunen,et al.  Stress-relaxation of human patellar articular cartilage in unconfined compression: prediction of mechanical response by tissue composition and structure. , 2008, Journal of biomechanics.

[36]  K A Athanasiou,et al.  Biomechanical Topography of Human Articular Cartilage in the First Metatarsophalangeal Joint , 1998, Clinical orthopaedics and related research.

[37]  Piero G. Pavan,et al.  Investigation of foot plantar pressure: experimental and numerical analysis , 2010, Medical & Biological Engineering & Computing.

[38]  F. Talke,et al.  Macroscopic assessment of cartilage shear: effects of counter-surface roughness, synovial fluid lubricant, and compression offset. , 2010, Journal of biomechanics.

[39]  T. R. Hughes,et al.  Mathematical foundations of elasticity , 1982 .

[40]  B B Seedhom,et al.  Thickness of human articular cartilage in joints of the lower limb , 1999, Annals of the rheumatic diseases.

[41]  J. Weiss,et al.  Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .

[42]  P. Beeson,et al.  A review of the differences between normal and osteoarthritis articular cartilage in human knee and ankle joints. , 2009, Foot.

[43]  H. Rubash,et al.  Determination of in-vivo articular cartilage contact areas of human talocrural joint under weightbearing conditions. , 2006, Osteoarthritis and cartilage.

[44]  D Stamenović,et al.  Confined and unconfined stress relaxation of cartilage: appropriateness of a transversely isotropic analysis. , 1999, Journal of biomechanics.

[45]  A. Seifzadeh,et al.  Determination of nonlinear fibre-reinforced biphasic poroviscoelastic constitutive parameters of articular cartilage using stress relaxation indentation testing and an optimizing finite element analysis , 2012, Comput. Methods Programs Biomed..

[46]  Heiko Graichen,et al.  Quantitative cartilage imaging of the human hind foot: Precision and inter‐subject variability , 2002, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[47]  R Putz,et al.  Demonstration of subchondral bone density patterns by three‐dimensional ct osteoabsorptiometry as a noninvasive method for in vivo assessment of individual long‐term stresses in joints , 1992, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[48]  J. Lee,et al.  Effects of internal stress concentrations in plantar soft-tissue--A preliminary three-dimensional finite element analysis. , 2010, Medical engineering & physics.

[49]  J. Suh,et al.  A cross-validation of the biphasic poroviscoelastic model of articular cartilage in unconfined compression, indentation, and confined compression. , 2001, Journal of biomechanics.

[50]  W Wilson,et al.  A fibril-reinforced poroviscoelastic swelling model for articular cartilage. , 2005, Journal of biomechanics.

[51]  F. Tang,et al.  Effects of total contact insoles on the plantar stress redistribution: a finite element analysis. , 2003, Clinical biomechanics.

[52]  A fast quadrature-based numerical method for the continuous spectrum biphasic poroviscoelastic model of articular cartilage. , 2010, Journal of biomechanics.