Hostname: page-component-5c6d5d7d68-pkt8n Total loading time: 0 Render date: 2024-08-07T00:43:29.056Z Has data issue: false hasContentIssue false
  • English
  • Français

Local Viscoelasticity of Biopolymer Solutions

Published online by Cambridge University Press:  10 February 2011

B. Schnurr ,
F. Gittes ,
P. D. Olmsted ,
C. F. Schmidt  and
F. C. Mackintosh
B. Schnurr
Affiliation:
Dept. of Physics & Biophys. Res. Div., University of Michigan, Ann Arbor, Ml 48109–1120
F. Gittes
Affiliation:
Dept. of Physics & Biophys. Res. Div., University of Michigan, Ann Arbor, Ml 48109–1120
P. D. Olmsted
Affiliation:
Dept. of Physics, University of Leeds, Leeds, LS2 9JT, United Kingdom
C. F. Schmidt
Affiliation:
Dept. of Physics & Biophys. Res. Div., University of Michigan, Ann Arbor, Ml 48109–1120
F. C. Mackintosh
Affiliation:
Dept. of Physics & Biophys. Res. Div., University of Michigan, Ann Arbor, Ml 48109–1120
Get access

Abstract

We describe a new, high-resolution technique for determining the local viscoelastic response of polymer gels on a micrometer scale. This is done by monitoring thermal fluctuations of embedded probe particles. We derive the relationship between the amplitude of fluctuations and the low-frequency storage modulus G′, as well as the relationship between the fluctuation power spectrum, measured between 0.1 Hz and 25kHz, and the complex shear modulus G((ω). For both, semiflexible F-actin solutions and flexible polyacrylamide (PAAm) gels we observe high-frequency power-law dependence in the spectra, which reflects the behavior of the shear modulus. However, we observe distinctly different scaling exponents for G((ω) in F-actin and PAAm gels—presumably due to the semiflexible nature of the actin filaments.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 15
Copyright
Copyright © Materials Research Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Stessei, T.P., Sci Am 271, 54–5, 58–63 (1994).Google Scholar
2 Kas, J., Strey, H., Tang, J.X. et al., Biophysical Journal 70, 609 (1996).Google Scholar
3 Muller, O., et al., Macromolecules 24, 3111 (1991);Google Scholar
Ruddies, R., et al, Eur Biophys J 22, 309 (1993).Google Scholar
4 Janmey, P.A., Hvidt, S., Kas, J. et al., J Biol Chem 269, 32503 (1994).Google Scholar
5 Janmey, P.A., et al., Biochemistry 27, 8218 (1988);Google Scholar
Janmey, P.A., J Biochem and Biophys Meth 22, 41 (1991).Google Scholar
6 MacKintosh, F.C., Kas, J., and Janmey, P.A., Physical Review Letters 75, 4425 (1995).Google Scholar
7 Pollard, T.D., Goldberg, I., and Schwarz, W.H., J Biol Chem 267, 20339 (1992);Google Scholar
Wachsstock, D.H., Schwartz, W.H., and Pollard, T.D., Biophys J 65, 205 (1993); 66, 801 (1994);Google Scholar
Sato, M., et al., J Biol Chem 260, 8585 (1985);Google Scholar
Zaner, K.S. and Hartwig, J.H., J Biol Chem 263, 4532 (1988);Google Scholar
Newman, J., et al., Biophys J 64, 1559 (1993).Google Scholar
8 Ziemann, F., Radier, J., and Sackmann, E., Biophys J 66, 2210 (1994).Google Scholar
9 Schmidt, F.G., Ziemann, F., and Sackmann, E., Eur Biophys J 24, 348 (1996).Google Scholar
10 Amblard, F., et al., Physical Review Letters 77, 4470 (1996).Google Scholar
11 Mason, T.G. and Weitz, D.A., Physical Review Letters 74, 1250 (1995).Google Scholar
12 Landau, L.D. and Lifshitz, E.M., Fluid mechanics (Pergamon Press, Reading, MA, 1959).Google Scholar
13 The shear stress σ and displacement field it in a viscoelastic medium are related in the same way as σ and the velocity field in a viscous fluid, provided that both are incompressible.Google Scholar
14 Landau, L.D. and Lifshitz, E.M., Theory of elasticity, 2d ed. (Pergamon Press, New York, 1970).Google Scholar
15 Schnurr, B., et al., to be published.Google Scholar
16 Brochard, F. and de Gennes, P.G., Macromolecules 10, 1157 (1977).Google Scholar
17 Milner, S.T., Physical Review E 48, 3674 (1993).Google Scholar
18 Landau, L.D., Lifshitz, E.M., and Pitaevskii, L.P., Statistical physics (Pergamon Press, New York, 1980).Google Scholar
19 Doi, M. and Edwards, S.F., The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1988).Google Scholar
20 Pardee, J.D. and Spudich, J.A., in Structural and Contractile Proteins (PartB: The Contractile Apparatus and the Cy to skeleton), ed. by Frederiksen, D W and Cunningham, L W (Academic Press, San Diego, 1982).Google Scholar
21 Bio-Rad Laboratories, US/EG Bulletin 1156.Google Scholar
22 Denk, W. and Webb, W.W., Applied Optics 29, 2382 (1990).Google Scholar
23 Svoboda, K., Schmidt, C.F., Schnapp, B.J. et al., Nature 365, 721 (1993).Google Scholar
24 Gittes, F. and Schmidt, C.F., in Laser tweezers in cell biology, ed. Sheetz, M. P. (Academic Press, San Diego, 1997).Google Scholar
25 Schmidt, C.F., et al., Macromolecules 22, 3638 (1989).Google Scholar
26 In analogy with the Rouse model, one might have expected a scaling G′(ω)), G′(ω) ∝ ω 1/4 for semiflexible polymers. This would result in a ω −5/4 dependence of the power spectrum.Google Scholar
27 Fawcett, J.S. and Morris, C.J.O.R., Separation Science 1, 9 (1966).Google Scholar
28 Cohen, Y., et ai, Journal of Polymer Science, Part B (Polymer Physics) 30, 1055 (1992).Google Scholar