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ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

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In the absence of membranes, the muscle fibers are able to shorten easily, without the<br />

transference of stresses to membranes. Consequently, the displacement-field on the<br />

muscle’s surface and the average fiber shortening of the gastrocnemius muscle are too<br />

large. On the other hand, including membranes, the stresses resultant from muscle<br />

activation are transferred to stretch the Achilles tendon. The external Achilles tendon<br />

average strain increased from 0.061 (with membrane model) to 0.074 (without<br />

membrane model) and the Achilles tendon force ultimately increased. Additionally, the<br />

membrane keeps the average fiber strain to around optimum length in this simulation.<br />

Consequently, the active force produced by muscle contraction increases with<br />

membranes in comparison with the model without membranes.<br />

In conclusion, muscles’ membranes, which are difficult to identify from medical<br />

imaging data, play a very important role on the biomechanics of muscles. It is, therefore,<br />

important to take into account muscles’ membranes by coupling the geometrical<br />

reconstruction with a model enhancement from other anatomical knowledge and<br />

considerations, in order to achieve accurate and representative FE models.<br />

6. REFERENCES<br />

1. Zajac, F. E., Muscle and tendon: Properties, models, scaling, and application to<br />

biomechanics and motor control. Crit. Rev. Biomed. Eng., 1989, 17, 359–411.<br />

2. Delp, S. L., Loan, J. P., Hoy, M. G., Zajac, F. E., Topp, E. L. and Rosen, J. M., An<br />

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3. Alves, J. L., Yamamura, N., Oda, T. and Teodosiu, C., Numerical simulation of<br />

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Biomechanics and Biomedical Engineering 2010, Valencia, Spain.<br />

4. Blemker, S. S., Pinsky, P. M. and Delp, S. L., A 3D model of muscle reveals the<br />

causes of nonuniform strains in the biceps brachii, J. Biomech., 2005, 38, 657-665.<br />

5. Wu, F. T. H., Ng-Thow-Hing, V., Singh, K., Agur, A. M. and McKee, N. H.,<br />

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6. Johansson, T., Meier, P. and Blickhan, R., A Finite-Element Model for the<br />

Mechanical Analysis of Skeletal Muscles. J. Theor. Biol., 2000, 206, 131-149.<br />

7. Sussman, T. and Bathe, K.-J., A FE Formulation for Nonlinear Incompressible<br />

Elastic and Inelastic Analysis, Computer & Structures, 1987, 26, 357-409.<br />

8. Jenkyn, T.R., Koopman, B., Huijing, P., Lieber, R.L. and Kaufman, K.R., Finite<br />

element model of intramuscular pressure during isometric contraction of skeletal<br />

muscle. Physics in Medicine and Biology, 2002, 47, 4043-4061.<br />

9. Nagano, A. And Gerritsen, K.G.M. Effects of neuromuscular strength training on<br />

vertical jumping performance – A computer simulation study, J. Appl. Biomech.,<br />

2001, 17, 113–128.<br />

10. Kawakami, Y., Ichinose, Y. and Fukunaga, T., Architectural and functional features<br />

of human triceps surae muscles during contraction, J. Appl. Physiol., 1998, 85, 398-<br />

404.<br />

11. Louis-Ugbo, J., Leeson, B. and Hutton, W.C., Tensile properties of fresh human<br />

calcaneal (Achilles) tendons, Clinical Anatomy, 2004, 17, 30-35.

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