Three Dimensional Passive Properties of Muscle Tissue in Compression

Uniaxial unconstrained compression experiments have been conducted on porcine, bovine and ovine muscle samples oriented in the fibre, non-fibre and 45° from the fibre direction. The porcine and bovine samples were aged tissues. The ovine samples were fresh tissues. A transversely isotropic hyperelastic model and a model which uses the theory of transverse isotropy and strain dependent Young's moduli have been fitted to the experimental data. The results show that the hyperelastic model does not adequately fit the data in all three directions of testing. In contrast, the strain dependent Young's moduli model (SYM) gives a good fit to the experimental data in both the fibre and non-fibre direction up to 30% strain for porcine and bovine samples. The model also yields a very good prediction of the behaviour of the muscle at 45° from the fibre direction. However, preliminary data from the fresh ovine samples indicates that the SYM may not be a suitable model for description of the material properties of very fresh tissue.

[1]  D Hawkins,et al.  A comprehensive approach for studying muscle-tendon mechanics. , 1994, Journal of biomechanical engineering.

[2]  J. Humphrey,et al.  Determination of a constitutive relation for passive myocardium: I. A new functional form. , 1990, Journal of biomechanical engineering.

[3]  R. D. Woittiez,et al.  A three‐dimensional muscle model: A quantified relation between form and function of skeletal muscles , 1984, Journal of morphology.

[4]  Kenton R Kaufman,et al.  Correlation between active and passive isometric force and intramuscular pressure in the isolated rabbit tibialis anterior muscle. , 2003, Journal of biomechanics.

[5]  Z. Muhl Active length‐tension relation and the effect of muscle pinnation on fiber lengthening , 1982, Journal of morphology.

[6]  D. H. Campen,et al.  The constitutive behaviour of passive heart muscle tissue: a quasi-linear viscoelastic formulation. , 1991, Journal of biomechanics.

[7]  J. Humphrey,et al.  Determination of a constitutive relation for passive myocardium: II. Parameter estimation. , 1990, Journal of biomechanical engineering.

[8]  X. Luo,et al.  A nonlinear anisotropic model for porcine aortic heart valves. , 2001, Journal of biomechanics.

[9]  D Hawkins,et al.  Muscle and tendon force-length properties and their interactions in vivo. , 1997, Journal of biomechanics.

[10]  R. D'ambrosia,et al.  The isometric length-force models of nine different skeletal muscles. , 1992, Journal of biomechanics.