Model of calf muscle tear during a simulated eccentric contraction, comparison between ex-vivo experiments and discrete element model

A. Roux1,2, T.-X. Haen1,3, I. Iordanoff2, S. Laporte1
1Arts et Métiers - Institute of Technology, Institut de Biomécanique Humaine Georges Charpak, 151 bd de l'Hôpital, 75013, Paris, France
2Arts et Métiers - Institute of Technology, I2M, Esplanade des Arts et Métiers, 33405, Talence, France
3Ramsay Générale de Santé, Clinique Jouvenet, Paris, France

Tài liệu tham khảo

Altman, 2015, Thixotropy and rheopexy of muscle fibers probed using sinusoidal oscillations, PLoS One, 10, 10.1371/journal.pone.0121726 André, 2012, Discrete element method to simulate continuous material by using the cohesive beam model, Comput. Methods Appl. Mech. Eng., 213–216, 113, 10.1016/j.cma.2011.12.002 André, 2013, Using the discrete element method to simulate brittle fracture in the indentation of a silica glass with a blunt indenter, Comput. Methods Appl. Mech. Eng., 265, 136, 10.1016/j.cma.2013.06.008 Azizi, 2009, Mechanical properties of the gastrocnemius aponeurosis in wild turkeys, Integr. Comp. Biol., 49, 51, 10.1093/icb/icp006 Ballit, 2022, Recurrent neural network to predict hyperelastic constitutive behaviors of the skeletal muscle, Med. Biol. Eng. Comput., 60, 1177, 10.1007/s11517-022-02541-z Bensamoun, 2006, Macroscopic-microscopic characterization of the passive mechanical properties in rat soleus muscle, J. Biomech., 39, 568, 10.1016/j.jbiomech.2004.04.036 Bianchi, 1998, Sonographic evaluation of tears of the gastrocnemius medial head ("tennis leg"), J Ultrasound Med., 17, 157, 10.7863/jum.1998.17.3.157 Bianchi, 2006, Ultrasound appearance of tendon tears. part 2: lower extremity and myotendinous tears, Skeletal Radiol., 35, 63, 10.1007/s00256-005-0024-x Blemker, 2006, Rectus femoris and vastus intermedius fiber excursions predicted by three-dimensional muscle models, J. Biomech., 39, 1383, 10.1016/j.jbiomech.2005.04.012 Blemker, 2005, A 3d model of muscle reveals the causes of nonuniform strains in the biceps brachii, J. Biomech., 38, 657, 10.1016/j.jbiomech.2004.04.009 Böl, 2011, A coupled electromechanical model for the excitation-dependent contraction of skeletal muscle, J. Mech. Behav. Biomed. Mater., 4, 1299, 10.1016/j.jmbbm.2011.04.017 Bosboom, 2001, Passive transverse mechanical properties of skeletal muscle under in vivo compression, J. Biomech., 34, 1365, 10.1016/S0021-9290(01)00083-5 Breuls, 2003, A theoretical analysis of damage evolution in skeletal muscle tissue with reference to pressure ulcer development, J. Biomech. Eng., 125, 902, 10.1115/1.1634287 Brickson, 2001, Oxidant production and immune response after stretch injury in skeletal muscle, Med. Sci. Sports Exerc., 33, 2010, 10.1097/00005768-200112000-00006 Butterfield, 2006, Effect of altering starting length and activation timing of muscle on fiber strain and muscle damage, J. Appl. Physiol., 100, 1489, 10.1152/japplphysiol.00524.2005 Chang, 2020, Management of hamstring injuries: current concepts review, Bone Joint J., 102-B, 1281, 10.1302/0301-620X.102B10.BJJ-2020-1210.R1 Chen, 2009, A novel approach to sonographic examination in a patient with a calf muscle tear: a case report, J. Med. Case Rep., 3, 7291, 10.4076/1752-1947-3-7291 Chow, 2000, Sonographic studies of human soleus and gastrocnemius muscle architecture: gender variability, Eur. J. Appl. Physiol., 82, 236, 10.1007/s004210050677 Christensen, 2006, Mechanical properties of type i and type iib single porcine muscle fibres, Meat Sci., 73, 422, 10.1016/j.meatsci.2005.12.010 Courthaliac, 2003, Les lésions musculaires des membres inférieurs chez le sportif de haut de niveau: aspect échographique corrélé à l'irm, Feuill. Radiol., 43, 528 Cundall, 1979, A discrete numerical model for granular assemblies, Geotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Dau, 2014, A promising way to model damage in composite material and dry fabrics using a discrete element method de Cesare, 2018, A finite element analysis of diaphragmatic hernia repair on an animal model, J. Mech. Behav. Biomed. Mater., 86, 33, 10.1016/j.jmbbm.2018.06.005 Doral, 2010, Functional anatomy of the achilles tendon, Knee Surg. Sports Traumatol. Arthrosc., 18, 638, 10.1007/s00167-010-1083-7 Gottsauner-Wolf, 1995, Effects of freeze/thaw conditioning on the tensile properties and failure mode of bone-muscle-bone units: a biomechanical and histological study in dogs, J. Orthop. Res., 13, 90, 10.1002/jor.1100130114 Gras, 2012, Hyper-elastic properties of the human sternocleidomastoideus muscle in tension, J. Mech. Behav. Biomed. Mater., 15, 131, 10.1016/j.jmbbm.2012.06.013 Grasa, 2011, A 3d active-passive numerical skeletal muscle model in corporating initial tissue strains. Validation with experimental results on rat tibialis anterior muscle, Biomech. Model. Mechanobiol., 10, 779, 10.1007/s10237-010-0273-z Grover, 2007, The effect of stretch rate and activation state on skeletal muscle force in the anatomical range, Clin. Biomech. (Bristol, Avon), 22, 360, 10.1016/j.clinbiomech.2006.10.009 Haen, 2015, Shear Wear Elastography of the human Achilles tendon: a cadaveric study of factors influencing the repeatability, Comput. Method Biomech. Biomed. Eng., 18, 1954, 10.1080/10255842.2015.1069578 Haen, 2017, Shear waves elastography for assessment of human Achilles tendon's biomechanical properties: an experimental study, J. Mech. Behav. Biomed., 69, 178, 10.1016/j.jmbbm.2017.01.007 Handsfield, 2017, A 3D model of the Achilles tendon to determine the mechanisms underlying nonuniform tendon displacements, J. Biomech., 51, 17, 10.1016/j.jbiomech.2016.11.062 Hansen, 2013, Micromechanical properties and collagen composition of ruptured human achilles tendon, Am. J. Sports Med., 41, 437, 10.1177/0363546512470617 Hashemi, 2020, An experimental study of nonlinear rate-dependent behaviour of skeletal muscle to obtain passive mechanical properties, Proc. IMech. E. Part H: J. Eng. Med., 1 Hernandez-Gascon, 2013, A 3d electro-mechanical continuum model for simulating skeletal muscle contraction, J. Theor. Biol., 335, 108, 10.1016/j.jtbi.2013.06.029 Hess, 2010, Achilles tendon rupture: a review of etiology, population, anatomy, risk factors, and injury prevention, Foot Ankle Spec., 3, 29, 10.1177/1938640009355191 Hijikata, 1993, Functional combination of tapering profiles and overlapping arrangements in nonspanning skeletal muscle fibers terminating intrafascicularly, Anat. Rec., 236, 602, 10.1002/ar.1092360403 Hodgson, 2012, Finite element modeling of passive material influence on the deformation and force output of skeletal muscle, J. Mech. Behav. Biomed. Mater., 9, 163, 10.1016/j.jmbbm.2012.01.010 Ilaslan, 2007, Deltoid muscle and tendon tears in patients with chronic rotator cuff tears, Skeletal Radiol., 36, 503, 10.1007/s00256-007-0279-5 Iordanoff, 2008, Discrete element method, a tool to investigate contacts in material forming, Int. J. Material Form., 1, 1235, 10.1007/s12289-008-0165-2 Johansson, 2000, A finite-element model for the mechanical analysis of skeletal muscles, J. Theor. Biol., 206, 131, 10.1006/jtbi.2000.2109 Jozsa, 1989, Distribution of blood groups in patients with tendon rupture. An analysis of 832 cases, J. Bone Joint Surg. Br., 71, 272, 10.1302/0301-620X.71B2.2494187 Kääriäinen, 2000, Relation between myofibers and connective tissue during muscle injury repair, Scand. J. Med. Sci. Sports, 10, 332, 10.1034/j.1600-0838.2000.010006332.x Knudsen, 2015, The human myotendinous junction: an ultrastructural and 3d analysis study, Scand. J. Med. Sci. Sports., 25, 10.1111/sms.12221 Kwak, 2006, Diagnosis and follow-up us evaluation of ruptures of the medial head of the gastrocnemius ("tennis leg"), Korean J. Radiol., 7, 193, 10.3348/kjr.2006.7.3.193 Lamsfuss, 2021, Skeletal muscle: modeling the mechanical behavior by taking the hierarchical microstructure into account, J. Mech. Behav. Biomed. Mater., 122 Lantto, 2015, Epidemiology of Achilles tendon ruptures: increasing incidence over a 33-year period, Scand. J. Med. Sci. Sports, 25, e133, 10.1111/sms.12253 Law, 1993, Divalent cation-dependent adhesion at the myotendinous junction: ultrastructure and mechanics of failure, J. Muscle Res. Cell Motil., 14, 173, 10.1007/BF00115452 Lengelé, 2009 Lieber, 2003, Inferior mechanical properties of spastic muscle bundles due to hypertrophic but compromised extracellular matrix material, Muscle Nerve, 28, 464, 10.1002/mus.10446 Lin, 1999, Biomechanical properties of muscle-tendon unit under high-speed passive stretch, Clin. BioMech., 14, 412, 10.1016/S0268-0033(98)00108-9 Lu, 2021, Simulating fractures with bonded discrete element method, IEEE Trans. Visual. Comput. Graph., 28, 10.1109/TVCG.2021.3106738 Magnusson, 2003, Differential strain patterns of the human gastrocnemius aponeurosis and free tendon, in vivo, Acta Physiol. Scand., 177, 185, 10.1046/j.1365-201X.2003.01048.x Maheo, 2015, A promising way to model cracks in composite using discrete element method, Compos. B Eng., 71, 193, 10.1016/j.compositesb.2014.11.032 Mar, 2000, 598 Martins, 1998, A numerical model of passive and active behavior of skeletal muscles, Comput. Methods Appl. Mech. Eng., 151, 419, 10.1016/S0045-7825(97)00162-X Matschke, 2013, Patellar tendon properties and lower limb function in rheumatoid arthritis and ankylosing spondylitis versus healthy controls: a cross-sectional study, Sci. World J., 2013, 10.1155/2013/514743 McMaster, 1933, Tendon and muscle ruptures - clinical and experimental studies on the causes and location of sub cutaneous ruptures, J. Bone Joint Surg., 15, 705 Mo, 2020, In vitro compressive properties of skeletal muscles and inverse finite element analysis: comparison of human versus animals, J. Biomech., 109, 10.1016/j.jbiomech.2020.109916 Moes, 1999, A finite element method for crack growth without remeshing, Int. J. Numer. Methods Eng., 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J Mohammed, 2016, Optimization of active muscle force-length models using least squares curve fitting, IEEE Trans. Biomed. Eng., 63, 630, 10.1109/TBME.2015.2467169 Morales-Orcajo, 2017, Non-linear finite element model to assess the effect of tendon forces on the foot-ankle complex, Med. Eng. Phys., 49, 71, 10.1016/j.medengphy.2017.07.010 Moreno, 2020, Reverse-engineering and modeling the 3D passive and active responses of skeletal muscle using a data-driven, non-parametric, spline-based procedure, J. Mech. Behav. Biomed. Mater., 110 Morisawa, 1997, Spontaneous rupture of the deltoid muscle associated with massive tearing of the rotator cuff, J. Shoulder Elbow Surg., 6, 556, 10.1016/S1058-2746(97)90089-6 Morrow, 2010, Transversely isotropic tensile material properties of skeletal muscle tissue, J. Mech. Behav. Biomed. Mater., 3, 124, 10.1016/j.jmbbm.2009.03.004 Myers, 1995, On the structural and material properties of mammalian skeletal muscle and its relevance to human cervical impact dynamics, 203 Petilon, 2005, Pectoralis major muscle ruptures, Operat. Tech. Sports Med., 13, 162, 10.1053/j.otsm.2005.10.004 Pham, 2013, From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models, Cont. Mech. Thermo-dyn, 25, 147, 10.1007/s00161-011-0228-3 Pillet, 2021, Hamstring muscles rupture under traction, peeling and shear lap tests: a biomechanical study in rabbits, J. Mech. Behav. Biomed. Mater., 116 Pillet, 2022, Effects of cryo-preservation on skeletal muscle tissues mechanical behavior under tensile and peeling tests until rupture, J. Mech. Behav. Biomed. Mater., 132 Pope, 2018 Pratt, 2012, An in vivo rodent model of contraction-induced injury in the quadriceps muscle, Injury, 43, 788, 10.1016/j.injury.2011.09.015 Regev, 2011, Psoas muscle architectural design, in vivo sarcomere length range, and passive tensile properties support its role as a lumbar spine stabilizer, Spine, 36, E1666, 10.1097/BRS.0b013e31821847b3 Res, 2018, Peroneal tendon tears: we should consider looking at the muscle instead, J. Am. Acad. Orthop. Surg., 10.5435/JAAOS-D-17-00302 Riggin, 2014, Analysis of collagen organization in mouse achilles tendon using high-frequency ultrasound imaging, J. Biomech. Eng., 136, 10.1115/1.4026285 Roux, 2016, Influence of muscle-tendon complex geometrical parameters on modeling passive stretch behavior with the discrete element method, J. Biomech., 49, 252, 10.1016/j.jbiomech.2015.12.006 Roux, 2021, Modeling of muscular activation of the muscle-tendon complex using discrete element method, Comput. Methods Biomech. Biomed. Eng., 24, 1184, 10.1080/10255842.2020.1870039 Schatzmann, 1998, Effect of cyclic preconditioning on the tensile properties of human quadriceps tendons and patellar ligaments, Knee Surg. Sports Traumatol. Arthrosc., 6, S56, 10.1007/s001670050224 Smith, 2007, Transforming growth factor-beta following skeletal muscle strain injury in rats, J. Appl. Physiol., 102, 755, 10.1152/japplphysiol.01503.2005 Song, 2004, Effect of increased excursion of the ankle on the severity of acute eccentric contraction-induced strain injury in the gastrocnemius: an in vivo rat study, Am. J. Sports Med., 32, 1263, 10.1177/0363546503262199 Takaza, 2013, The anisotropic mechanical behaviour of passive skeletal muscle tissue subjected to large tensile strain, J. Mech. Behav. Biomed. Mater., 17, 209, 10.1016/j.jmbbm.2012.09.001 Tang, 2009, A 3d skeletal muscle model coupled with active contraction of muscle fibres and hyperelastic behaviour, J. Biomech., 42, 865, 10.1016/j.jbiomech.2009.01.021 Trotter, 2002, Structure-function considerations of muscle-tendon junctions, Comp. Biochem. Physiol. Mol. Integr. Physiol., 133, 1127, 10.1016/S1095-6433(02)00213-1 Trotter, 1985, A morphometric analysis of the muscle-tendon junction, Anat. Rec., 213, 26, 10.1002/ar.1092130105 Turrina, 2013, The muscular force transmission system: role of the intramuscular connective tissue, J. Bodyw. Mov. Ther., 17, 95, 10.1016/j.jbmt.2012.06.001 Uchiyama, 2011, Clinical results of a surgical technique using endobuttons for complete tendon tear of pectoralis major muscle: report of five cases, Sports Med. Arthrosc. Rehabil. Ther. Technol., 3, 20, 10.1186/1758-2555-3-20 Untaroiu, 2005, Characterization of the lower limb soft tissues in pedestrian finite element models Uquillas, 2015, Everything achilles: knowledge up date and current concepts in management: AAOS exhibit selection, J. Bone Joint Surg., 97, 1187, 10.2106/JBJS.O.00002 Van Der Meer, 2010, Mesh-independent modeling of both distributed and discrete matrix cracking in interaction with delamination in composites, Eng. Fract. Mech., 77, 719, 10.1016/j.engfracmech.2009.11.010 Wang, 2006, Mechanobiology of tendon, J. Biomech., 39, 1563, 10.1016/j.jbiomech.2005.05.011 Weiss, 1996, Finite element implementation of incompressible, transversely isotropic hyperelasticity, Comput. Methods Appl. Mech. Eng., 135, 107, 10.1016/0045-7825(96)01035-3 Winter, 2010, The expression of the skeletal muscle force-length relationship in vivo: a simulation study, J. Theor. Biol., 262, 634, 10.1016/j.jtbi.2009.10.028 Wren, 2001, Mechanical properties of the human achilles tendon, Clin. BioMech., 16, 245, 10.1016/S0268-0033(00)00089-9 Yucesoy, 2002, Three-dimensional finite element modeling of skeletal muscle using a two-domain approach: linked fiber-matrix mesh model, J. Biomech., 35, 1253, 10.1016/S0021-9290(02)00069-6 Zhou, 2003, A new look at the atomic level virial stress: on continuum-molecular system equivalence, Proc. Royal Soc. Lond. Ser. A: Math. Phys. Eng. Sci., 459, 2347, 10.1098/rspa.2003.1127