Skip to main content

Experimental and Computational Investigation of Viscoelasticity of Native and Engineered Ligament and Tendon

  • Conference paper
  • First Online:
IUTAM Symposium on Cellular, Molecular and Tissue Mechanics

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 16))

Abstract

The important mechanisms by which soft collagenous tissues such as ligament and tendon respond to mechanical deformation include non-linear elasticity, viscoelasticity and poroelasticity. These contributions to the mechanical response are modulated by the content and morphology of structural proteins such as type I collagen and elastin, other molecules such as glycosaminoglycans, and fluid. Our ligament and tendon constructs, engineered from either primary cells or bone marrow stromal cells and their autogenous matricies, exhibit histological and mechanical characteristics of native tissues of different levels of maturity. In order to establish whether the constructs have optimal mechanical function for implantation and utility for regenerative medicine, constitutive relationships for the constructs and native tissues at different developmental levels must be established. A micromechanical model incorporating viscoelastic collagen and non-linear elastic elastin is used to describe the non-linear viscoelastic response of our homogeneous engineered constructs in vitro. This model is incorporated within a finite element framework to examine the heterogeneity of the mechanical responses of native ligament and tendon.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Arms S, Boyle J, Johnson R, Pope M (1983) Strain measurement in the medial collateral ligament of the human knee: An autopsy study. J Biomech 16(7):491

    Article  CAS  Google Scholar 

  2. Arruda EM, Boyce MC (1993) A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. J Mech Phys Solid 41(2):389

    Article  CAS  Google Scholar 

  3. Arruda EM, Mundy K, Clave SC, Baar K (2006) Regional variation of tibialis anterior tendon mechanics is lost following denervation. J Appl Phys 53(4):1113–1117

    Google Scholar 

  4. Bischoff JE, Arruda EM, Grosh K (2002a) A microstructurally based orthotropic hyperelastic constitutive law. J Appl Mech 69:570–579

    Article  CAS  Google Scholar 

  5. Bischoff JE, Arruda EM, Grosh K (2002b) Orthotropic hyperelasticity in terms of an arbitrary molecular chain model. J Appl Mech 69(4):198–201

    Article  CAS  Google Scholar 

  6. Calve SC, Dennis RG, Kosnik P, Baar K, Groash K, Arruda EM (2004) Engineering of functional tendon. Tissue Eng 10(5,6):755–761

    Google Scholar 

  7. Garikipati K, Arruda EM, Grosh K, Narayanan H, Calve SC (2004) A continuum treatment of growth in biological tissue: Mass transport coupled with mechanics. J Mech Phys Solids 52(7):1595–1625

    Article  Google Scholar 

  8. Larkin LM, Calve SC, Kostrominova TY, Arruda EM (2006) Structure and functional evaluation of tendon-skeletal muscle constructs engineered in vitro. Tissue Eng 12(11):3149–3158

    Article  CAS  Google Scholar 

  9. Ma J, Goble K, Smietana M, Kostrominova T, Larkin L, Arruda EM (2008) Morphological and functional characteristics of three-dimensional engineered bone-ligament-bone constructs following implantation. J Biomech Eng (submitted)

    Google Scholar 

  10. MacKintosh FC, Kas J, Janmey PA (1995) Elasticity of semiflexible biopolymer networks. Phys Rev Lett 75:4425

    Article  CAS  Google Scholar 

  11. Mendias CL, Bakhurin KI, Faulkner JA (2001) Tendons of myostatin-deficient mice are small, brittle, and hypocellular. PNAS 105(1):388–393

    Article  Google Scholar 

  12. Narayanan H (2007) Ph.D. Thesis: A continuum theory of multiphase mixtures for modelling biological growth, in Mechanical Engineering, University of Michigan, Ann Arbor

    Google Scholar 

  13. Narayanan H, Arruda EM, Grosh K, Garikipati K (2004) The micromechanics of fluid–solid interactions during growth in porous soft biological tissue. J Mech Phys Solid 52:1595–1625

    Article  Google Scholar 

  14. Palmer JS, Boyce MC (2008) Constitutive modeling of the stress–strain behavior of F-actin filament networks. Acta Biomater 4:597–612

    Article  Google Scholar 

  15. Syed-Picard FN, Larkin LM, Shaw CM, Arruda EM (2009) Three-dimensional engineered bone from bone marrow stromal cells and their autogenous extracellular matrix. Tissue Eng Part A 15(1):187–195

    Article  CAS  Google Scholar 

  16. Thomopoulos S, Marquez JP, Weinberger B, Birman V, Genin GM (2006) Collagen fiber orientation at the tendon to bone insertion and its influence on stress concentrations. J Biomech 39:1842

    Article  Google Scholar 

  17. Treloar LRG (2005) The physics of rubber elasticity. Oxford University Press

    Google Scholar 

  18. Warren LF, Marshall JL, Girgus F (1974) The prime static stabilizer of the medial side of the knee. J Bone Jt Surg 56(A):665

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. M. Arruda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this paper

Cite this paper

Ma, J., Narayanan, H., Garikipati, K., Grosh, K., Arruda, E.M. (2010). Experimental and Computational Investigation of Viscoelasticity of Native and Engineered Ligament and Tendon. In: Garikipati, K., Arruda, E. (eds) IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. IUTAM Bookseries, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3348-2_1

Download citation

Publish with us

Policies and ethics