Passive nonlinear elastic behaviour of skeletal muscle: Experimental results and model formulation

Journal of Biomechanics

Volumn 43, Issue 2, 2010, Pages 318-325

  Calvo, B ^a,b   Ramirez A ^a,b   Alonso, A ^a,b   Grasa, J ^a,b   Soteras, F ^a   Osta, R ^a   Munoz M J ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b BIOMATERIALES Y NANOMEDICINA CIBER BBN   (Spain)

Author keywords

Hyperelastic; Large deformation; Nonlinear; Passive behaviour of skeletal muscle tissue; Uniaxial test

Indexed keywords

ELASTIC BEHAVIOUR; EXPERIMENTAL DATA; FEMALE WISTAR RATS; FINITE ELEMENT MODELS; HYPER ELASTIC; IN-VITRO; IN-VIVO; LARGE DEFORMATIONS; LEVENBERG-MARQUARDT OPTIMIZATION; LONGITUDINAL AXIS; MATERIAL MODELS; MECHANICAL BEHAVIOUR; MECHANICAL TESTS; MODEL FORMULATION; REACTION FORCES; SKELETAL MUSCLE; TENDON TISSUES; TIBIALIS ANTERIOR; TISSUE SAMPLES; UNI-AXIAL LOADING; UNIAXIAL TESTS;

DEFORMATION; HISTOLOGY; TENDONS;

MUSCLE;

ANIMAL TISSUE; ANISOTROPY; ARTICLE; CONTROLLED STUDY; ELASTICITY; FEMALE; FINITE ELEMENT ANALYSIS; GROUND REACTION FORCE; IN VITRO STUDY; IN VIVO STUDY; LOAD CARRYING CAPACITY; MATHEMATICAL MODEL; MECHANICAL STRESS; MUSCLE FUNCTION; MUSCLE TISSUE; NONHUMAN; NONLINEAR SYSTEM; PRIORITY JOURNAL; PROCESS DEVELOPMENT; PROCESS OPTIMIZATION; RAT; SKELETAL MUSCLE; TIBIALIS ANTERIOR MUSCLE; WEIGHT BEARING; WISTAR RAT;

ALGORITHMS; ANIMALS; ANISOTROPY; BIOMECHANICS; ELASTICITY; FEMALE; MODELS, BIOLOGICAL; MUSCLE, SKELETAL; NONLINEAR DYNAMICS; RATS; RATS, WISTAR; STRESS, MECHANICAL; TENDONS;

EID: 72249102600     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2009.08.032     Document Type: Article

References (44)

1. Anderson F.C., and Pandy M.G. Individual muscle contributions to support in normal walking. Gait Posture 17 (2003) 159-169
2. Arnold A.S., Thelen D.G., Schwartz M.H., Anderson F.C., and Delp S.L. Muscular coordination of knee motion during the terminal-swing phase of normal gait. Journal of Biomechanics 40 (2007) 3314-3324
3. Bensamoun S., Stevens L., Fleury M.J., Bellon G., Goubel F., and Tho M.C.H.B. Macroscopic-microscopic characterization of the passive mechanical properties in rat soleus muscle. Journal of Biomechanics 39 3 (2006) 568-578
4. Blemker B.B., and Delp S.L. Three-dimensional representation of complex muscle architectures and geometries. Annals of Biomedical Engineering 33 (2005) 661-673
5. Blemker B.B., Pinsky P.M., and Delp S.L. A 3d model of muscle reveals the causes of nonuniform strains in the biceps brachii. Annals of Biomedical Engineering 38 (2005) 657-665
6. Bol M., and Reese S. Micromechanical modelling of skeletal muscles based on the finite element method. Computer Methods in Biomechanics and Biomedical Engineering 11 (2008) 489-504
7. Bonifasi-Lista C., Lake S.P., Small M.S., and Weiss J.A. Viscoelastic properties of the human medial collateral ligament under longitudinal, transverse and shear loading. Journal of Orthopaedic Research 23 (2005) 67-76
8. Calvo B., Peña E., Martins P., Mascarenhas T., Doblaré M., Jorge R.N., and Ferreira A. On modelling damage process in vaginal tissue. Journal of Biomechanics 42 5 (2009) 642-651
9. Davis J., Kaufman K.R., and Lieber R.L. Correlation between active and passive isometric force and intramuscular pressure in the isolated rabbit tibialis anterior muscle. Journal of Biomechanics 36 4 (2003) 505-512
10. Delp S.L., Loan J.P., Hoy M.G., Zajac F.E., Topp E.L., and Rosen J.M. An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures. IEEE Transactions on Biomedical Engineering 37 (1990) 757-767
11. Fernandez J.W., and Hunter P.J. An anatomically based patient-specific finite element model of patella articulation: towards a diagnostic tool. Biomechanics and Modeling in Mechanobiology 4 1 (2005) 20-38
12. Fernandez J.W., and Pandy M.G. Integrating modelling and experiments to assess dynamic musculoskeletal function in humans. Experimental Physiology 91 2 (2006) 371-382
13. Flory P.J. Thermodynamic relations for high elastic materials. Transactions of the Faraday Society 57 (1961) 829-838
14. Groverand J.P., Corr D.T., Toumi H., Manthei D.M., Oza A.L., Vanderby R., and Best T.M. The effect of stretch rate and activation state on skeletal muscle force in the anatomical range. Clinical Biomechanics 22 3 (2007) 360-368
15. Hawkins D., and Bey M. Muscle and tendon force-length properties and their interactions in vivo. Journal of Biomechanics 30 1 (1997) 63-70
16. Hill A.V. The heat of shortening and the dynamic constants of muscle. Proceedings of the Royal Society London B 126 (1938) 136-195
17. Hill T.L., Eisenberg E., Chen Y.D., and Podolsky R.J. Some self-consistent 2-state sliding filament models of muscle-contraction. Biophysical Journal 15 4 (1975) 335-372
18. Holzapfel G.A. Nonlinear Solid Mechanics (2000), Wiley, New York
19. Holzapfel G.A., Gasser C.T., Sommer G., and Regitnig P. Determination of the layer-specific mechanical properties of human coronary arteries with non-atherosclerotic intimal thickening, and related constitutive modelling. American Journal of Physiology-Heart and Circulatory Physiology 289 (2005) H2048-H2058
20. Holzapfel G.A., Gasser T.C., and Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. Journal of Elasticity 61 (2000) 1-48
21. Huxley A.F., and Niedergerke R. Structural changes in muscle during contraction. Nature 173 (1954) 971-973
22. Hwang W., Carvalho J.C., Tarlovsky I., and Boriek A.M. Passive mechanics of canine internal abdominal muscles. Journal of Applied Physiology 98 5 (2005) 1829-1835
23. 2 + concentration and force in intact frog skeletal muscle fibers. Journal of General Physiology 111 4 (1998) 505-519
24. Lieber R.L., Leonard M.E., Brown C.G., and Trestik C.L. Frog semitendinosis tendon load-strain and stress-strain properties during passive loading. American Journal of Physiology 261 1 (1991) C86-C92
25. mdm) model. American Journal of Physiology-Cell Physiology 295 (2008) C1092-C1102
26. Marquardt D.W. An algorithm for least-squares estimation of nonlinear parameters. SIAM Journal on Applied Mathematics 11 (1963) 431-441
27. Martins J.A.C., Pires E.B., Salvado R., and Dinis P.B. Numerical model of passive and active behavior of skeletal muscles. Computer Methods in Applied Mechanics and Engineering 151 (1998) 419-433
28. Merodio J., and Goicolea J.M. On thermodynamically consistent constitutive equations for fiber-reinforced nonlinearly viscoelastic solids with application to biomechanics. Mechanics Research Communications 34 (2007) 561-571
29. Monti R.J., Roy R.R., Zhong H., and Edgerton V.R. Mechanical properties of rat soleus aponeurosis and tendon during variable recruitment in situ. Journal of Experimental Biology 206 19 (2003) 3437-3445
30. Ogden, R.W., 2001. Nonlinear Elasticity, Anisotropy, Material Stability and Residual Stresses in Soft Tissue. Lecture Notes. CISM Course on Biomechanics of Soft Tissue Udine.
31. Pandy M.G. Computer modeling and simulation of human movement. Annual Review of Biomedical Engineering 3 (2001) 245-273
32. Peña E., del Palomar A.P., Calvo B., Martinez M.A., and Doblare M. Computational modelling of diarthrodial joints. Physiological, pathological and pos-surgery simulations. Archives of Computational Methods in Engineering 14 1 (2007) 47-91
33. Quapp K.M., and Weiss J.A. Material characterization of human medial collateral ligament. ASME Journal of Biomechanical Engineering 120 (1998) 757-763
34. Regnier M., Chase P.B., and Martyn D.A. Contractile properties of rabbit psoas muscle fibres inhibited by beryllium fluoride. Journal of Muscle Research and Cell Motility 20 4 (1999) 425-432
35. Shelburne K.B., Torry M.R., and Pandy M.G. Contributions of muscles, ligaments, and the ground-reaction force to tibiofemoral joint loading during normal gait. Journal of Orthopaedic Research 24 10 (2006) 1983-1990
36. Simo J.C., and Taylor R.L. Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms. Computer Methods in Applied Mechanics and Engineering 85 (1991) 273-310
37. Spencer A.J.M. Theory of invariants. Continuum Physics (1954), Academic Press, New York 239-253
38. Stalhand J., Klarbring A., and Holzapfel G.A. Smooth muscle contraction: mechanochemical formulation for homogeneous finite strains. Progress in Biophysics & Molecular Biology 96 (2008) 465-481
39. Staubli H., Schatzmann L., Brunner P., Rincon L., and Nolte L. Mechanical tensile properties of the quadriceps tendon and patellar ligament in young adults. The American Journal of Sports Medicine 27 (1999) 27-34
40. Tang C.Y., Stojanovic B., Tsui C.P., and Kojic M. Modeling of muscle fatigue using Hill's model. Bio-Medical Materials and Engineering 15 (2005) 341-348
41. Tsui C.P., Tang C.Y., Leung C.P., Cheng K.W., Ng Y.F., Chow D.H., and Li C.K. Active finite element analysis of skeletal muscle-tendon complex during isometric, shortening and lengthening contraction. Bio-Medical Materials and Engineering 14 (2004) 271-279
42. Van Loocke M., Lyons C.G., and Simms C.K. A validated model of passive muscle in compression. Journal of Biomechanics 39 16 (2006) 2999-3009
43. Weiss J.A., Maker B.N., and Govindjee S. Finite element implementation of incompressible, transversely isotropic hyperelasticity. Computer Methods in Applied Mechanics and Engineering 135 (1996) 107-128
44. Zajac F.E. Muscle and tendon: properties, models, scaling and application to biomechanics and motor control. Critical Reviews in Biomedical Engineering 17 (1989) 359-411