dorsal/arxiv
View SchemaDynamics of Semiflexible Polymers in a Flow Field
| Authors | Tobias Munk, Oskar Hallatschek, Chris H. Wiggins, Erwin Frey |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0604032 |
| URL | https://arxiv.org/abs/q-bio/0604032 |
| DOI | 10.1103/PhysRevE.74.041911 |
| Journal | Physical Review E, Vol. 74, No. 4, 041911 (2006) |
Abstract
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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"abstract": "We present a novel method to investigate the dynamics of a single\nsemiflexible polymer, subject to anisotropic friction in a viscous fluid. In\ncontrast to previous approaches, we do not rely on a discrete bead-rod model,\nbut introduce a suitable normal mode decomposition of a continuous space curve.\nBy means of a perturbation expansion for stiff filaments we derive a closed set\nof coupled Langevin equations in mode space for the nonlinear dynamics in two\ndimensions, taking into account exactly the local constraint of\ninextensibility. The stochastic differential equations obtained this way are\nsolved numerically, with parameters adjusted to describe the motion of actin\nfilaments. As an example, we show results for the tumbling motion in shear\nflow.",
"arxiv_id": "q-bio/0604032",
"authors": [
"Tobias Munk",
"Oskar Hallatschek",
"Chris H. Wiggins",
"Erwin Frey"
],
"categories": [
"q-bio.BM",
"cond-mat.soft"
],
"doi": "10.1103/PhysRevE.74.041911",
"journal_ref": "Physical Review E, Vol. 74, No. 4, 041911 (2006)",
"title": "Dynamics of Semiflexible Polymers in a Flow Field",
"url": "https://arxiv.org/abs/q-bio/0604032"
},
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