Biophys J, July 2000, p. 137-143, Vol. 79, No. 1

Single-Particle Tracking: Brownian Dynamics of Viscoelastic Materials

Departments of Applied Mathematics and Bioengineering, University of Washington, Seattle, Washington 98195 USA

A unifying theoretical framework for analyzing stochastic data from single-particle tracking (SPT) in viscoelastic materials is presented. A generalization of the bead-spring model for linear polymers is developed from a molecular point of view and from the standpoint of phenomenological linear viscoelasticity. The hydrodynamic interaction in the former is identified as the dashpots in the latter. In elementary terms, the intimate correspondence between time-correlation of the fluctuation measurements and transient relaxation kinetics after perturbation is discussed, and the central role of the fluctuation-dissipation relation is emphasized. The work presented here provides a bridge between the microscopic and the macroscopic views of linear viscoelastic biological materials, and is applicable to membrane protein diffusion, linear DNA chain dynamics, and mechanics of intracellular cytoskeletal networks.

Biophys J, July 2000, p. 137-143, Vol. 79, No. 1
© 2000 by the Biophysical Society   0006-3495/00/07/137/07  $2.00

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