Hydrodynamics of isotropic and liquid crystalline active polymer solutions

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Dec;74(6 Pt 1):061913. doi: 10.1103/PhysRevE.74.061913. Epub 2006 Dec 29.

Abstract

We describe the large-scale collective behavior of solutions of polar biofilaments and stationary and mobile crosslinkers. Both mobile and stationary crosslinkers induce filament alignment promoting either polar or nematic order. In addition, mobile crosslinkers, such as clusters of motor proteins, exchange forces and torques among the filaments and render the homogeneous states unstable via filament bundling. We start from a Smoluchowski equation for rigid filaments in solutions, where pairwise crosslink-mediated interactions among the filaments yield translational and rotational currents. The large-scale properties of the system are described in terms of continuum equations for filament and motor densities, polarization, and alignment tensor obtained by coarse-graining the Smoluchovski equation. The possible homogeneous and inhomogeneous states of the systems are obtained as stable solutions of the dynamical equations and are characterized in terms of experimentally accessible parameters. We make contact with work by other authors and show that our model allows for an estimate of the various parameters in the hydrodynamic equations in terms of physical properties of the crosslinkers.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Anisotropy
  • Biopolymers / chemistry*
  • Computer Simulation
  • Liquid Crystals / chemistry*
  • Microfluidics / methods*
  • Models, Chemical*
  • Models, Molecular*
  • Molecular Motor Proteins / chemistry*
  • Molecular Motor Proteins / ultrastructure
  • Motion
  • Solutions

Substances

  • Biopolymers
  • Molecular Motor Proteins
  • Solutions