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Mathematical Modelling and Data Analysis

Department 8.4

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Title: Intracellular mechanochemical waves in an active poroelastic model
Author(s): M. Radszuweit, S. Alonso, H. Engel and M. Bär
Journal: Phys. Rev. Lett.
Year: 2013
Volume: 110
Issue: 13
Pages: 138102
DOI: 10.1103/PhysRevLett.110.138102
ISSN: 1079-7114
Web URL: http://www.ncbi.nlm.nih.gov/pubmed/23581377
Keywords: Biological,Biomechanical Phenomena,Cell Physiological Phenomena,Cytoplasm,Cytoplasm: chemistry,Cytoskeleton,Cytoskeleton: chemistry,Elasticity,Extracellular Fluid,Extracellular Fluid: chemistry,Models,Viscosity
Tags: 8.41, ActMatt, ActFluid
Abstract: Many processes in living cells are controlled by biochemical substances regulating active stresses. The cytoplasm is an active material with both viscoelastic and liquid properties. We incorporate the active stress into a two-phase model of the cytoplasm which accounts for the spatiotemporal dynamics of the cytoskeleton and the cytosol. The cytoskeleton is described as a solid matrix that together with the cytosol as an interstitial fluid constitutes a poroelastic material. We find different forms of mechanochemical waves including traveling, standing, and rotating waves by employing linear stability analysis and numerical simulations in one and two spatial dimensions.

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