Dynamics of Semiflexible Polymers in a Flow Field

Details Dynamics of Semiflexible Polymers in a Flow Field Dynamics of Semiflexible Polymers in a Flow Field

2006-04-26

arxiv.org/abs/q-bio/0604032v4

Physical Review E, Vol. 74, No. 4, 041911 (2006)

Biology

Quantitative Biology

Biomolecules

Corrected Label in Fig. 2. 12 pages, 10 figures

Scientific paper

10.1103/PhysRevE.74.041911

We present a novel method to investigate the dynamics of a single semiflexible polymer, subject to anisotropic friction in a viscous fluid. In contrast to previous approaches, we do not rely on a discrete bead-rod model, but introduce a suitable normal mode decomposition of a continuous space curve. By means of a perturbation expansion for stiff filaments we derive a closed set of coupled Langevin equations in mode space for the nonlinear dynamics in two dimensions, taking into account exactly the local constraint of inextensibility. The stochastic differential equations obtained this way are solved numerically, with parameters adjusted to describe the motion of actin filaments. As an example, we show results for the tumbling motion in shear flow.

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