Micromechanical modeling of the epimysium of the skeletal muscles

Journal of Biomechanics

Volumn 41, Issue 1, 2008, Pages 1-10

  Gao, Yingxin ^a   Waas, Anthony M ^a   Faulkner, John A ^a   Kostrominova, Tatiana Y ^a,b   Wineman, Alan S ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

^b INDIANA UNIVERSITY SCHOOL OF MEDICINE NORTHWEST   (United States)

Author keywords

Collagen fiber; Epimysium; Ground substance; Mechanical properties; Reorientation; Unit cell; Waviness

Indexed keywords

CELLS; COLLAGEN; DATA REDUCTION; MATHEMATICAL MODELS; VOLUME FRACTION;

COLLAGEN FIBERS; EPIMYSIUM; GROUND SUBSTANCES; WAVINESS;

MUSCLE;

COLLAGEN FIBER;

ARTICLE; BIOMECHANICS; CELL SHAPE; CONNECTIVE TISSUE; EPIMYSIUM; MATHEMATICAL MODEL; MUSCLE CELL; PRIORITY JOURNAL; SKELETAL MUSCLE; SOFT TISSUE;

ALGORITHMS; ANIMALS; BIOMECHANICS; COLLAGEN; ELASTICITY; EXTRACELLULAR MATRIX; MODELS, BIOLOGICAL; MUSCLE, SKELETAL; RATS; STRESS, MECHANICAL;

EID: 37249090640     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2007.08.008     Document Type: Article

References (39)

1. Ault H.K., and Hoffman A.H. A composite micromechanical model for connective tissues: part I-theory. Journal of Biomechanical Engineering 114 (1992) 137-141
2. Ault H.K., and Hoffman A.H. A composite micromechanical model for connective tissues: part II-application to rat tail tendon and joint capsule. Journal of Biomechanical Engineering 114 (1992) 142-146
3. Belkoff S.M., and Haut R.C. A structural model used to evaluate the changing microstructure of maturing rat skin. Journal of Biomechanics 24 (1991) 711-720
4. Bigi A., Ripamonti A., Roveri N., Jeronimidis G., and Purslow P.P. Collagen orientation by X-ray pole figures and mechanical properties of media carotid wall. Journal of Material Science 16 (1981) 2557-2562
5. Bigi A., Koch M.H., Purslow P.P., Ripamonti A., Roveri N., and Sayers Z. Structural organization of collagen in Metridium Senile. International Journal of Biological Macromolecules 7 (1985) 19-24
6. Casella C. Tensile force in total striated muscle, isolated fibre and sarcolemma. Acta Physiolgica Scandinanica 21 (1950) 380-401
7. Comninou M., and Yannas I.V. Dependence of stress-strain nonlinearity of connective tissues on the geometry of collagen fibers. Journal of Biomechanics 9 (1976) 427-433
8. Decraemer W.F., Maes M.A., and Vanhuyse V.J. Muscle weakness following eccentric work in man. Journal of Biomechancis 13 (1980) 463-468
9. Diamant J., Keller A., Baer E., Litt M., and Arridge R.G. Collagen; ultrastructure and its relation to mechanical properties as a function of ageing. Proceedings of the Royal Society of London Series B-Biological Sciences 180 60 (1972) 293-315
10. Elden H.R. Physical properties of collagen fibers. International Review of Connective Tissue Research 4 (1968) 283-348
11. Ervasti J.M., and Campbell K.P. An X-ray and light-diffraction study of the filament lattice of striated muscle in the living state and in rigor. Journal of Molecular Biology 6 (1963) 295-305
12. Fung Y.C. Structure and stress-strain relationship of soft tissue. American Zoologist 24 (1984) 13-22
13. Fung Y.C. Biomechanics: Mechanical Properties of Living Tissues. second ed (1993), Springer, New York
14. Gao, Y., Kostrominova, T.Y., Faulkner, J.A., Wineman, A.S., 2006. Age-related changes in the mechanical properties of the epimysium in skeletal muscles of rats. Jurnal of Biomechanics, submitted for publication.
15. Hall R.H. TVariations with PH of the tensile properties of collagen fibers. Journal of International Society for Leather Trades Chemists 35 (1951) 195
16. Hashin Z., and Rosen B.W. The elastic moduli of fiber-reinforced materials. ASME Journal of Applied Mechanics 31 (1964) 223-232
17. Haut R.C., and Little R.W. A constitutive equation for collagen fibers. Journal of Biomechanics 5 (1972) 423-430
18. Hill A.V. Mechanics of the contractile element of muscle. Nature 166 (1950) 415-419
19. Hurschler C., Loitz-Ramage B., and Vanderby R.J. A structurally based stress-stretch relationship for tendon and ligament. Journal of Biomechanical Engineering 119 4 (1997) 392-399
20. Hurschler C., Provenzano P., and Vanderby R.J. Application of a probabilistic microstructural model to determine reference length and toe-to-linear region transition in fibrous connective tissue. Journal of Biomechanical Engineering 125 3 (2003) 415-422
21. Kwan M.K., and Woo S.L. A structural model to describe the nonlinear stress-strain behavior for parallel-fibered collagenous tissues. Journal of Biomechanical Engineering 111 4 (1989) 333-361
22. Liao Y. A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues. Journal of Biomechanics 12 (1979) 423-436
23. Liao Y. Constitutive equations for fibrous connective tissues. Journal of Biomechanics 16 (1983) 1-12
24. Light N., and Champion A.E. Characterization of muscle epimysium, perimysium and endomysium collagens. Biochemical Journal 219 (1984) 1017-1026
25. Mohan S., and Radha E. Age-related changes in rat muscle collagen. Journal of Biomechanics 26 (1980) 61-67
26. Podolsky R.J. The maximum sarcomere length for contraction of isolated myofibrils. Journal of Physiology 170 (1964) 110-123
27. Purslow P.P. Strain-induced reorientation of an intramuscular connective tissue network: implications for passive muscle elasticity. Journal of Biomechancis 22 1 (1989) 21-31
28. Purslow P.P., and Duance V.C. Strain-induced reorientation of an intramuscular connective tissue network: implications for passive muscle elasticity. In: Hunkin D.W.L. (Ed). Connective Tissue Matrix (1990), CRC Press, Boca Raton 127-166
29. Purslow P.P., and Trotter J.A. The morphology and mechanical properties of endomysium in series-fibred muscles: variations with muscle length. Journal of Muscle Research Cell Motillity 15 3 (1994) 299-308
30. Ramsey R.W., and Street S.F. The isometric length-tension diagram of isolated skeletal muscle fibers of the frog. Journal of Cellular and Comparative Physiology 15 (1940) 11-34
31. Rodrigues C.J., and Bohm G.M. Effects of aging on muscle fibers and collagen content of the diaphragm: a comparison with the rectus abdominis muscle. Gerontology 42 4 (1996) 18-28
32. Rowe R.W.D. Collagen fibre arrangement in intramuscular connective tissue. Changes associated with muscle shortening and their possible relevance to raw meat toughness measurement. Journal of Food Technology 9 (1974) 501-508
33. Sane, S.F., 1994. The extracellular matrix. In: Andrew, G.E., Franzini-Armstrong, C. (Eds.), Myology. McGraw-Hill, Medical Publication Division, New York, pp. 242-260.
34. Torp S., Baer E., and Friedman B. Effects of age and of mechanical deformation on the ultrastructure of tendon. Colston Papers 26 (1975) 223-250
35. Trotter J.A., Richmond F.J., and Purslow P.P. Functional morphology and motor control of series-fibered muscles. Exercise and Sport Scienes Reviews 23 (1995) 167-213
36. Viidik A. Biomechanical behavior of soft connective tissues. In: Akkas N. (Ed). Progress in Biomechanics (1979), Sijthoff & Noordhoff, Alphen a/d Rijn 75-113
37. Viidik A. Mechanical properties of parallell_fibered collagenous tissues. In: Viidik A., and Vuust J. (Eds). Biology of Collagen (1980), Academic Press, New York 237-255
38. Woo S.L., Johnson G.A., and Smith B.A. Mathematical modeling of ligaments and tendons. Journal of Biomechanical Engineering 115 (1993) 168-471
39. Wren T.A., and Carter D.R. A microstructural model for the tensile constitutive and failure behavior of soft skeletal connective tissues. Journal of Biomechanical Engineering 120 (1998) 55-61