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A cell-based constitutive relation for bio-artificial tissues.

G I Zahalak1, J E Wagenseil, T Wakatsuki

  • 1Department of Biomedical Engineering, Washington University, St. Louis, Missouri 63130, USA. giz@me.wustl.edu

Biophysical Journal
|October 29, 2000
PubMed
Summary
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This study presents a new constitutive relation for bio-artificial tissues, detailing how cell and matrix properties influence mechanical behavior. Experimental data supports the model, offering insights into cell mechanics from tissue properties.

Area of Science:

  • Biomechanics
  • Materials Science
  • Cell Biology

Background:

  • Bio-artificial tissues are complex composites requiring accurate mechanical models.
  • Understanding the interplay between cellular components and the extracellular matrix is crucial for tissue engineering.

Purpose of the Study:

  • To derive an integral constitutive relation for bio-artificial tissue models.
  • To quantitatively model tissue stress dependence on deformation history.
  • To elucidate the distinct contributions of cells and matrix to composite tissue mechanics.

Main Methods:

  • Utilized a combination of continuum and statistical mechanics.
  • Developed an integral constitutive relation incorporating anisotropy tensors for cell orientation effects.
  • Compared theoretical predictions with uniaxial relaxation tests on fibroblast-populated collagen matrices (FPMs).

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Main Results:

  • The derived constitutive relation explicitly separates cellular and matrix contributions to mechanical behavior.
  • Experimental results from FPMs generally support the theoretical model.
  • Fibroblast contractile force and stiffness were found to be an order of magnitude smaller than skeletal muscle, with comparable viscosity.

Conclusions:

  • The developed theory allows deduction of microscopic cell mechanical properties from macroscopic tissue measurements.
  • The theoretical framework provides a foundation for more sophisticated cell models and accurate tissue property representations.
  • The study highlights the importance of cell orientation in determining tissue mechanics.