Models for stiffening in cross-linked biopolymer networks: A comparative study

T. van Dillen, P. R. Onck, E. Van der Giessen*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

54 Citations (Scopus)

Abstract

In a recent publication, we studied the mechanical stiffening behavior in two-dimensional (2D) cross-linked networks of semiflexible biopolymer filaments under simple shear [Onck, P.R., Koeman, T., Van Dillen, T., Van der Giessen, E., 2005. Alternative explanation of stiffening in cross-linked semiflexible networks. Phys. Rev. Lett. 95, 178102]. These simulations make use of a geometrically nonlinear finite-element technique, taking into account the discreteness of the biopolymer network. As an alternative to the prevalent view, these computations relate the stiffening to nonaffine network reorientations. However, this discrete-network model neglects any interaction of the filaments with the surrounding fluid, which is the origin of entropic stiffening in single filaments and in biopolymer networks, according to MacKintosh et al. For this reason, this article is devoted to a thorough study of the difference between both approaches on the 2D single-filament level. In addition, we investigate the deviation from affine deformation behavior, by comparing the discrete calculations with an affine-network model. (C) 2008 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)2240-2264
Number of pages25
JournalJournal of the Mechanics and Physics of Solids
Volume56
Issue number6
DOIs
Publication statusPublished - Jun-2008

Keywords

  • biological material
  • elastic material
  • constitutive behavior
  • structure
  • finite elements
  • F-ACTIN NETWORKS
  • MECHANICAL-PROPERTIES
  • FIBRIN CLOTS
  • ELASTICITY
  • POLYMERS
  • MODULUS
  • DYNAMICS
  • GELS

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