Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments
We present an analysis of the planar motion of single semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the “Stokes problems” in hydrodynamics (motion of a viscous fluid...
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| Published in | Biophysical journal Vol. 74; no. 2; pp. 1043 - 1060 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
Elsevier Inc
01.02.1998
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0006-3495 1542-0086 |
| DOI | 10.1016/S0006-3495(98)74029-9 |
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| Abstract | We present an analysis of the planar motion of single semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the “Stokes problems” in hydrodynamics (motion of a viscous fluid induced by that of a wall bounding the fluid), we consider the motion of a polymer, one end of which is moved in an impulsive or oscillatory way. Analytical solutions for the time-dependent shapes of such moving polymers are obtained within an analysis applicable to small-amplitude deformations. In the case of oscillatory driving, particular attention is paid to a characteristic length determined by the frequency of oscillation, the polymer persistence length, and the viscous drag coefficient. Experiments on actin filaments manipulated with optical traps confirm the scaling law predicted by the analysis and provide a new technique for measuring the elastic bending modulus. Exploiting this model, we also present a reanalysis of several published experiments on microtubules. |
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| AbstractList | We present an analysis of the planar motion of single semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the "Stokes problems" in hydrodynamics (motion of a viscous fluid induced by that of a wall bounding the fluid), we consider the motion of a polymer, one end of which is moved in an impulsive or oscillatory way. Analytical solutions for the time-dependent shapes of such moving polymers are obtained within an analysis applicable to small-amplitude deformations. In the case of oscillatory driving, particular attention is paid to a characteristic length determined by the frequency of oscillation, the polymer persistence length, and the viscous drag coefficient. Experiments on actin filaments manipulated with optical traps confirm the scaling law predicted by the analysis and provide a new technique for measuring the elastic bending modulus. Exploiting this model, we also present a reanalysis of several published experiments on microtubules. We present an analysis of the planar motion of single semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the "Stokes problems" in hydrodynamics (motion of a viscous fluid induced by that of a wall bounding the fluid), we consider the motion of a polymer, one end of which is moved in an impulsive or oscillatory way. Analytical solutions for the time-dependent shapes of such moving polymers are obtained within an analysis applicable to small-amplitude deformations. In the case of oscillatory driving, particular attention is paid to a characteristic length determined by the frequency of oscillation, the polymer persistence length, and the viscous drag coefficient. Experiments on actin filaments manipulated with optical traps confirm the scaling law predicted by the analysis and provide a new technique for measuring the elastic bending modulus. Exploiting this model, we also present a reanalysis of several published experiments on microtubules.We present an analysis of the planar motion of single semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic experiments designed to measure biopolymer bending moduli. By analogy with the "Stokes problems" in hydrodynamics (motion of a viscous fluid induced by that of a wall bounding the fluid), we consider the motion of a polymer, one end of which is moved in an impulsive or oscillatory way. Analytical solutions for the time-dependent shapes of such moving polymers are obtained within an analysis applicable to small-amplitude deformations. In the case of oscillatory driving, particular attention is paid to a characteristic length determined by the frequency of oscillation, the polymer persistence length, and the viscous drag coefficient. Experiments on actin filaments manipulated with optical traps confirm the scaling law predicted by the analysis and provide a new technique for measuring the elastic bending modulus. Exploiting this model, we also present a reanalysis of several published experiments on microtubules. |
| Author | Goldstein, Raymond E. Riveline, D. Wiggins, Chris H. Ott, A. |
| AuthorAffiliation | Department of Physics, Princeton University, New Jersey 08544, USA. cwiggins@princeton.edu |
| AuthorAffiliation_xml | – name: Department of Physics, Princeton University, New Jersey 08544, USA. cwiggins@princeton.edu |
| Author_xml | – sequence: 1 givenname: Chris H. surname: Wiggins fullname: Wiggins, Chris H. email: cwiggins@princeton.edu organization: Department of Physics, Princeton University, Princeton, New Jersey 08544 USA – sequence: 2 givenname: D. surname: Riveline fullname: Riveline, D. organization: Institut Curie, Section de Physique et Chimie, 75231 Paris Cedex 05, France – sequence: 3 givenname: A. surname: Ott fullname: Ott, A. organization: Institut Curie, Section de Physique et Chimie, 75231 Paris Cedex 05, France – sequence: 4 givenname: Raymond E. surname: Goldstein fullname: Goldstein, Raymond E. organization: Department of Physics, Princeton University, Princeton, New Jersey 08544 USA |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/9533717$$D View this record in MEDLINE/PubMed |
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| Copyright | 1998 The Biophysical Society |
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| Snippet | We present an analysis of the planar motion of single semiflexible filaments subject to viscous drag or point forcing. These are the relevant forces in dynamic... |
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| SubjectTerms | Actin Cytoskeleton - physiology Actin Cytoskeleton - ultrastructure Actins - chemistry Actins - physiology Biophysics - methods Elasticity Kinetics Mathematics Microtubules - physiology Microtubules - ultrastructure Models, Biological Oscillometry Viscosity |
| Title | Trapping and Wiggling: Elastohydrodynamics of Driven Microfilaments |
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