A constitutive model for protein-based materials

Xiaoyi Wu, Marc E. Levenston, Elliot L. Chaikof

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

Protein-based materials are critical to the construction of tissue substitutes that exhibit precisely defined mechanical properties. Under physiologically relevant conditions, materials derived from natural or synthetic structural proteins are characterized by nonlinear elastic responses at medium and large deformations, time-dependent or viscoelastic behavior, and display the effects of strain-induced structural changes. Although a constitutive model that accurately describes mechanical behavior is essential for the rational design of tissue constructs, few models account for all of these characteristics. In this report, we present a new constitutive model for protein based materials, in which nonlinear elasticity is captured by the Arruda-Boyce eight-chain model, time dependant viscoelasticity is described by a generalized Maxwell model, and the effect of strain-induced structural change is incorporated using a network alteration theory originally proposed by Tobolsky. The model was applied to a number of protein-based materials and cell containing constructs, including recombinant elastin-mimetic protein polymers and fibroblast populated collagen gel matrices. Significantly, numerical implementation of this model is straightforward and mechanical behavior accurately described under a variety of loading conditions. Moreover, when calibrated using stress relaxation data alone, the model accurately predicted cyclic loading responses. Although limitations exist, this model provides a convenient tool to correlate viscoelastic data obtained by different testing modes and may assist in reducing the number of experimental tests required to fully capture the range of viscoelastic responses of protein-based materials.

Original languageEnglish (US)
Pages (from-to)5315-5325
Number of pages11
JournalBiomaterials
Volume27
Issue number30
DOIs
StatePublished - Oct 2006
Externally publishedYes

Fingerprint

Constitutive models
Proteins
Strategic materials
Tissue
Elastin
Elasticity
Viscoelasticity
Stress relaxation
Fibroblasts
Collagen
Polymers
Gels
Mechanical properties
Testing

Keywords

  • Constitutive model
  • Protein polymer
  • Protein-based material

ASJC Scopus subject areas

  • Biotechnology
  • Bioengineering
  • Biomedical Engineering

Cite this

A constitutive model for protein-based materials. / Wu, Xiaoyi; Levenston, Marc E.; Chaikof, Elliot L.

In: Biomaterials, Vol. 27, No. 30, 10.2006, p. 5315-5325.

Research output: Contribution to journalArticle

Wu, Xiaoyi ; Levenston, Marc E. ; Chaikof, Elliot L. / A constitutive model for protein-based materials. In: Biomaterials. 2006 ; Vol. 27, No. 30. pp. 5315-5325.
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