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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Hydrodynamic theory for multi-component active polar gels

Focus on Physics of the Cytoskeleton

J F Joanny1, F Jülicher2, K Kruse2,3 and J Prost1,4

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Part of Focus on Physics of the Cytoskeleton

We develop a generic hydrodynamic theory of active fluids with several components. We take into account polar order and consider the case when one component is viscoelastic. Our theory is motivated by the cytoskeleton which is a network of elastic filaments that are coupled to active processes such as the action of motor proteins which can generate relative forces between filaments as they hydrolyze a fuel (ATP). In addition to the filament gel, the system is embedded in a solvent component and free monomers constitute a third component. We derive constitutive material equations for the combined system which include reactive and dissipative couplings as well as the chemical driving by ATP hydrolysis and a possible chiral symmetry of the filaments. As an illustration of these equations, we discuss an active liquid in a simple shear gradient.


 
An acknowledgment was added to this article on 6 February 2008.
PACS

87.16.Ka Filaments, microtubules, their networks, and supramolecular assemblies

87.16.Nn Motor proteins (myosin, kinesin dynein)

87.16.Yc Regulatory genetic and chemical networks

87.16.A- Theory, modeling, and simulations

87.17.Jj Cell locomotion, chemotaxis

82.35.Pq Biopolymers, biopolymerization

Subjects

Soft matter, liquids and polymers

Biological physics

Chemical physics and physical chemistry

Dates

Issue 11 (November 2007)

Received 4 June 2007

Published 30 November 2007



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