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A Micromechanical Viscoelastic Constitutive Model for Native and Engineered Anterior Cruciate Ligaments

  • Conference paper
Computer Models in Biomechanics

Abstract

Ligaments and tendons are soft tissues that are largely composed of aligned collagen and elastin. Due to this microstructure, they have nonlinear viscoelastic responses. We have developed a micromechanical constitutive model to capture the inhomogeneous, nonlinear viscoelastic properties of native ACL and of a tissue engineered ligament graft upon explantation. This constitutive model incorporates a viscoelastic collagen network and a nonlinear elastic elastin network. The model captures the nonlinear viscoelastic responses of these tissues using a limited number of parameters that can be interpreted in terms of physical properties of the collagen fibers and elastin. The parameters used to model the tissue engineered ligament response are similar to those found for the native ACL, indicating that the microstructure of the tissue engineered ligament graft has developed in vivo to match that of the native ACL.

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Acknowledgements

We thank MICHR and Coulter Foundation for their generous financial support.

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Authors and Affiliations

  1. University of Michigan, Ann Arbor, MI, 48109, USA

    Jinjin Ma & Ellen M. Arruda

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  1. Jinjin Ma
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  2. Ellen M. Arruda
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Correspondence to Ellen M. Arruda .

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Editors and Affiliations

  1. Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronegasse 5-I, Graz, 8010, Austria

    Gerhard A. Holzapfel

  2. Dept. Mechanical Engineering, Dept. of Bioengineering (courtesy), Stanford University, Lomita Mall 496, Stanford, 94305-4040, California, USA

    Ellen Kuhl

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Ma, J., Arruda, E.M. (2013). A Micromechanical Viscoelastic Constitutive Model for Native and Engineered Anterior Cruciate Ligaments. In: Holzapfel, G., Kuhl, E. (eds) Computer Models in Biomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5464-5_25

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  • DOI: https://doi.org/10.1007/978-94-007-5464-5_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5463-8

  • Online ISBN: 978-94-007-5464-5

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