Multiscale FEM simulations of cross-linked actin network embedded in cytosol with the focus on the filament orientation

S. Klinge*, S. Aygün, R. P. Gilbert, G. A. Holzapfel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The present contribution focuses on the application of the multiscale finite element method to the modeling of actin networks that are embedded in the cytosol. These cell components are of particular importance with regard to the cell response to external stimuli. The homogenization strategy chosen uses the Hill-Mandel macrohomogeneity condition for bridging 2 scales: the macroscopic scale that is related to the cell level and the microscopic scale related to the representative volume element. For the modeling of filaments, the Holzapfel-Ogden β-model is applied. It provides a relationship between the tensile force and the caused stretches, serves as the basis for the derivation of the stress and elasticity tensors, and enables a novel finite element implementation. The elements with the neo-Hookean constitutive law are applied for the simulation of the cytosol. The results presented corroborate the main advantage of the concept, namely, its flexibility with regard to the choice of the representative volume element as well as of macroscopic tests. The focus is particularly placed on the study of the filament orientation and of its influence on the effective behavior.

Original languageEnglish
Article numbere2993
JournalInternational Journal for Numerical Methods in Biomedical Engineering
Issue number7
Publication statusPublished - 1 Jul 2018


  • actin network
  • cell
  • cell cytoplasm
  • homogenization
  • material model
  • multiscale FEM

ASJC Scopus subject areas

  • Software
  • Biomedical Engineering
  • Modelling and Simulation
  • Molecular Biology
  • Computational Theory and Mathematics
  • Applied Mathematics


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