Dynamic instabilities in assemblies of molecular motors with finite stiffness

Phys Rev Lett. 2010 Jun 18;104(24):248102. doi: 10.1103/PhysRevLett.104.248102. Epub 2010 Jun 16.

Abstract

We propose a two-state "soft-motor" model for the collective behavior of molecular motors which takes into account both the internal motor stiffness and the periodic interaction with the filament. As in the Prandtl-Tomlinson model of tribology, the important parameter of the model is the pinning parameter, which compares the stiffness of the motors to the stiffness of the potential. The model predicts dynamic instabilities in two disconnected regions of parameter space. These parameter ranges correspond to two existing theories of motor assemblies, the rigid two-state model and the crossbridge model. The model also predicts a discontinuity of the slope of the force-velocity relation at small velocities.

MeSH terms

  • Biomechanical Phenomena
  • Cilia / physiology
  • Finite Element Analysis
  • Molecular Dynamics Simulation*
  • Molecular Motor Proteins / chemistry
  • Molecular Motor Proteins / physiology*
  • Muscles / cytology
  • Muscles / physiology
  • Pliability

Substances

  • Molecular Motor Proteins