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The Number e as a Limit
01:29

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Nonlinear elasticity in biological gels.

Cornelis Storm1, Jennifer J Pastore, F C MacKintosh

  • 1Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, Pennsylvania 19104, USA. cstorm@lorentz.leidenuniv.nl

Nature
|May 13, 2005
PubMed
Summary

Biological tissues exhibit strain-stiffening, a property crucial for function. This study presents a molecular theory explaining how filamentous protein networks achieve this nonlinear elasticity, revealing universal stress-strain relations.

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Area of Science:

  • Biophysics
  • Materials Science
  • Biomaterials

Background:

  • Soft biological tissues possess unique mechanical properties, including strain-stiffening, essential for physiological function.
  • This nonlinear elasticity, observed in diverse tissues like blood vessels and lung parenchyma, prevents potentially damaging large deformations.
  • The underlying molecular mechanisms and design principles of this phenomenon remain largely unknown.

Purpose of the Study:

  • To develop a molecular theory explaining strain-stiffening in biological materials.
  • To identify universal principles governing the nonlinear elasticity of filamentous protein networks.
  • To account for the mechanical behavior of various biomaterials, including gels formed from cytoskeletal and extracellular proteins.

Main Methods:

  • Developed a molecular theory based on the force-extension curves of individual semi-flexible filaments.
  • Assumed biological networks are homogeneous, isotropic, and undergo uniform strain.
  • Applied the theory to analyze strain-stiffening in different protein-based gels.

Main Results:

  • The theory successfully accounts for strain-stiffening in molecularly distinct protein gels.
  • Revealed universal stress-strain relationships at low to intermediate strains.
  • Demonstrated that open, crosslinked filamentous protein networks inherently exhibit strain-stiffening without specific architectures.

Conclusions:

  • A unified molecular theory explains the strain-stiffening behavior of biological tissues.
  • Filamentous protein networks in an open crosslinked mesh display nonlinear elasticity universally.
  • This understanding could inform the design of synthetic materials mimicking biological mechanical properties.