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Viscoelasticity of cross‐linked actin network embedded in cytosol
Author(s) -
Wiegold Tillmann,
Klinge Sandra,
Aygün Serhat,
Gilbert Robert P.,
Holzapfel Gerhard A.
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800151
Subject(s) - viscoelasticity , tension (geology) , nonlinear system , spring (device) , mechanics , cytoplasm , physics , actin , cytosol , finite element method , materials science , classical mechanics , chemistry , thermodynamics , biochemistry , enzyme , quantum mechanics , nuclear magnetic resonance , moment (physics)
An eukaryotic cell is a complex system including various components with different structures and roles. The current contribution deals with the microscopic and macroscopic simulations of a cell if two of its components are considered: cytosol and actin network. At the microscopic level, the actin is modeled by the Holzapfel‐Ogden model, including an extension for viscous effects. The model provides a relationship between the stretch of a single polymer chain and the applied tension force. This relationship includes the influence of the physical length of a single chain, its end‐to‐end distance and the stretch modulus. The viscous effects occurring due to deviatoric changes are modeled corresponding to a spring and a dashpot of the generalized Maxwell model. The cytosol is modeled by a large strain viscous model from the FEAP program. Finally, the effective behavior of the cell cytoplasm is simulated by using the multiscale finite element method. This method has been chosen since it is suitable for simulating nonlinear heterogeneous materials with a zero‐ratio of the characteristic lengths of scales. The selected numerical example deals with the effective material behavior for a tension test with two holding phases.