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Research Papers

Constitutive Modeling of Skeletal Muscle Tissue With an Explicit Strain-Energy Function

[+] Author and Article Information
G. M. Odegard, T. L. Haut Donahue

Department of Mechanical Engineering-Engineering Mechanics,  Michigan Technological University, 1400 Townsend Drive, Houghton, MI 49931

D. A. Morrow

Department of Orthopedic Surgery,  Mayo Clinic∕Mayo Foundation, 200 First Street SouthWest, Rochester, MN 55905

K. R. Kaufman1

Department of Orthopedic Surgery,  Mayo Clinic∕Mayo Foundation, 200 First Street SouthWest, Rochester, MN 55905kaufman.kenton@mayo.edu

1

Corresponding author.

J Biomech Eng 130(6), 061017 (Oct 23, 2008) (9 pages) doi:10.1115/1.3002766 History: Received June 15, 2007; Revised July 16, 2008; Published October 23, 2008

While much work has previously been done in the modeling of skeletal muscle, no model has, to date, been developed that describes the mechanical behavior with an explicit strain-energy function associated with the active response of skeletal muscle tissue. A model is presented herein that has been developed to accommodate this design consideration using a robust dynamical approach. The model shows excellent agreement with a previously published model of both the active and passive length-tension properties of skeletal muscle.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Multiple scale levels of skeletal muscle tissue. (Netter medical illustration used with permission of Elsevier. All rights reserved.)

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Figure 2

Tension-length relationship of a sarcomere. (Netter medical illustration used with permission of Elsevier. All rights reserved.)

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Figure 3

Strain-energy density for passive longitudinal extension deformation

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Figure 4

Strain-energy density for passive transverse extension deformation

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Figure 5

Strain-energy density for passive longitudinal shear deformation

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Figure 6

Stress versus strain diagram for fully activated skeletal muscle

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Figure 7

Total stress versus strain diagram for fully activated skeletal muscle. The inset shows the small-strain region. The nonlinearity of the data in the small-strain region is consistent with the expected physiological response (see Fig. 2). An inflection point exists at E11∼0.1, where the active tension decreases and the passive tension increases.

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