Viscoelasticity of concentrated isotropic solutions of semiflexible polymers. 2. Linear response

Macromolecules

Volumn 31, Issue 20, 1998, Pages 7044-7067

  Morse, David C ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; DIFFUSION; ELASTIC MODULI; MATHEMATICAL MODELS; RHEOLOGY; SOLUTIONS; STRESS RELAXATION; STRESSES; VISCOELASTICITY;

LINEAR RESPONSE; SEMIFLEXIBLE POLYMER; TUBE MODEL;

ORGANIC POLYMERS;

EID: 0032491091     PISSN: 00249297     EISSN: None     Source Type: Journal    
DOI: 10.1021/ma980304u     Document Type: Article

References (68)

1. Morse, D. C. Viscoelasticity of concentrated isotropic solutions of semiflexible polymers. 1. Model and stress tensor. Macromolecules 1998, 31, 7030.
2. Sato, M.; Leimbach, G.; Schwarz, W. H.; Pollard, T. D. J. Biol. Chem. 1985, 260, 8585.
3. Sato, M.; Schwarz, W. H.; Pollard, T. D. Nature 1987, 325, 828.
4. Wachsstock, D. H.; Schwarz, W. H.; Pollard, T. D. Biophys. J. 1993, 65, 205.
5. Wachssotck, D. H.; Schwarz, W. H.; Pollard, T. D. Biophys. J. 1994, 66, 801.
6. Janmey, P. A.; Hvidt, S.; Peetermans, J.; Lamb, J.; Ferry, J. D.; Stossel, T. P. Biochemistry 1988, 27, 8218.
7. Janmey, P. A.; Hvidt, S.; Oster, G..F.; Lamb, J.; Stossel, T. P.; Harwig, J. H. Nature 1990, 347, 95.
8. Janmey, P. A.; Euteneuer, U.; Traub, P.; Schliwa, M. J. Cell Biol. 1991, 113, 155.
9. Janmey, P. A.; Hivdt, S.; Käs, J.; Lerche, D.; Maggs, A.C.; Sackmann, E.; Schliwa, M.; Stossel, T. P. J. Biol. Chem. 1994, 269, 32503.
10. Müller, O.; Gaub, H. E.; Barmann, M.; Sackmann, E. Macromolecules 1991, 24, 3111.
11. Ruddies, R.; Goldman, W. H.; Isenberg, G.; Sackmann, E., Eur. Biophys. J. 1993, 22, 309.
12. Hinner, B.; Tempel, M.; Sackmann, E.; Kroy, K; Frey, E. Phys. Rev. Lett., in press.
13. Ziemann, F.; Radler, J.; Sackmann, E. Biophys. J. 1994, 66, 2210.
14. Xu, J. Ph.D. dissertation, Johns Hopkins University, 1997.
15. Xu, J.; Palmer, A.; Wirtz, D. Macromolecules 1998,31, 6486.
16. Xu, J.; Schwarz, W. H.; Käs, J.; Stossel, T. P.; Janmey, P. A.; Pollard, T. D. Biophys. J. 1998, 74, 2731.
17. Amblard, F.; Maggs, A. C.; Yurke, B.; Pargellis, A. N.; Leibler, S. Phys. Rev. Lett. 1996, 77, 4470.
18. Gittes, F.; Schnurr, B.; Olmsted, P. D.; MacKintosh, F. C.; Schmidt, C. F. Phys. Rev. Lett. 1997, 79, 2386. Shnurr, B.; Gittes, F.; MacKintosh, F. C.; Schmidt, C. F. Macromolecules 1997, 30, 7781.
19. Gittes, F.; Schnurr, B.; Olmsted, P. D.; MacKintosh, F. C.; Schmidt, C. F. Phys. Rev. Lett. 1997, 79, 2386. Shnurr, B.; Gittes, F.; MacKintosh, F. C.; Schmidt, C. F. Macromolecules 1997, 30, 7781.
20. Käs, J.; Strey, H.; Sackmann, E. Nature 1994, 368, 226. Sackmann, E.; Käs, J.; Strey, H. Adv. Mater. 1994, 6, 507.
21. Käs, J.; Strey, H.; Sackmann, E. Nature 1994, 368, 226. Sackmann, E.; Käs, J.; Strey, H. Adv. Mater. 1994, 6, 507.
22. Käs, J.; Strey, H.; Tang, J. X.; Finger, D.; Ezzell, R.; Sackmann, E.; Janmey, P. A. Biophys. J. 1996, 70, 1996.
23. Böhm, J. K. Master's dissertation, University of Texas, Austin, 1997.
24. Holmes, K. C.; Popp, D.; Gebhard, W.; Kabsch, W. Nature 1990, 347, 44.
25. Gittes, F.; Mickey, B.; Nettleton, J.; Howard, J. J.Cell Biol. 1993, 120, 923.
26. Ott, A.; Magnasco, M.; Simon, A.; Libchaber, A. Phys. Rev. E 1993, 48, R1642.
27. Sato, T.; Teramoto, A. Adv. Polym. Sci. 1996, 126, 85.
28. Isambert, H.; Maggs, A. C. Macromolecules 1996, 29, 1036.
29. Maggs, A. C. Phys. Rev. E 1997, 55, 7396.
30. orient(t) makes a negligible contribution to G(t) in this limit.
31. Muthukumar, M.; Edwards, S. F. Macromolecules 1983,16, 1475.
32. Farge, E.; Maggs, A. C. Macromolecules 1993, 26, 5041.
33. Gotter, R.; Kroy, K.; Frey, E.; Barmann, M.; Sackmann, E. Macromolecules 1996, 29, 30.
34. Kroy, K.; Frey, E. Phys. Rev. E 1997, 55, 3092.
35. Doi, M.; Edwards, S. F. The Theory of Polymer Dynamics; Oxford University Press: London, 1986.
36. Odijk, T. Macromolecules 1983, 16, 1340.
37. Doi, M. J. Polym. Sci.: Polym. Symp. 1985, 73, 93.
38. Semenov, A. N. J. Chem. Soc., Faraday Trans. 2 1986, 86, 317.
39. MacKintosh, F. C.; Janmey, P. A.; Käs, J. Phys. Rev. Lett. 1995, 75, 4425.
40. -1, which can be shown to be more complicated than that assumed by these authors.
41. p ≪ L, could conceivably have little effect on high-frequency short-wavelength modes and strong effects on low-frequency long-wavelength modes, leading to a frequency-dependent effective exponent.
42. Adam, M.; Delsanti, M. J. Phys. (Paris) 1982, 43, 549; 1983, 44, 1185.
43. Adam, M.; Delsanti, M. J. Phys. (Paris) 1982, 43, 549; 1983, 44, 1185.
44. Adam, M.; Delsanti, M. J. Phys. (Paris) 1984,45, 1513. RoyChowdhury, P. V.; Deuskar, D. J. Appl. Polym. Sci 1986, 31, 145.
45. Adam, M.; Delsanti, M. J. Phys. (Paris) 1984,45, 1513. RoyChowdhury, P. V.; Deuskar, D. J. Appl. Polym. Sci 1986, 31, 145.
46. Colby, R. H.; Rubinstein, M. Macromolecules 1990, 23, 2753.
47. Bird, R. B.; Curtiss, C.; Armstrong, R. C.; Hassager, O. Dynamics of Polymeric Liquids; Wiley-Interscience: New York, 1987; Vol. 2.
48. Doi, M. J. Phys. (Paris) 1975, 36, 607. Doi, M.; Edwards, S. F. J. Chem. Soc., Faraday Trans. 2 1978, 74, 568; 1978, 74, 918.
49. Doi, M. J. Phys. (Paris) 1975, 36, 607. Doi, M.; Edwards, S. F. J. Chem. Soc., Faraday Trans. 2 1978, 74, 568; 1978, 74, 918.
50. Doi, M. J. Phys. (Paris) 1975, 36, 607. Doi, M.; Edwards, S. F. J. Chem. Soc., Faraday Trans. 2 1978, 74, 568; 1978, 74, 918.
51. Fixman, M. Phys. Rev. Lett. 1985, 54, 337; 1985, 55, 2429.
52. Fixman, M. Phys. Rev. Lett. 1985, 54, 337; 1985, 55, 2429.
53. Bitsanis, I.; Davis, H. T.; Tirrell, M. Macromolecules 1988, 21 2824; 1990 23 1157
54. Bitsanis, I.; Davis, H. T.; Tirrell, M. Macromolecules 1988, 21 2824; 1990 23 1157
55. Mead, D. W.; Larson, R. G. Macromolecules 1990, 23, 2524. Larson, R. G.; Mead, D. W. J. Polym. Sci., Part B: Polym. Phys. 1991, 29, 1271.
56. Mead, D. W.; Larson, R. G. Macromolecules 1990, 23, 2524. Larson, R. G.; Mead, D. W. J. Polym. Sci., Part B: Polym. Phys. 1991, 29, 1271.
57. p and is never more than a few percent of the total perturbation of f given in (A7). For simplicity, this slight variation with s has been ignored.
58. ⊥ as a constant in the frequency range of interest.
59. Granek, R. J. Phys. II 1997, 7, 1761.
60. Gittes, F.; MacKintosh, F. C. Phys. Rev. E 1998, 58, 1241.
61. kas for N = 64.
62. Hinner, B.; Sackmann, E. Private communication.
63. Xu, J. Private communication.
64. Gissler, T.; Weitz, D. Phys. Rev. Lett., submitted for publication,
65. 2〉 is expressed in terms of an integral of the PSD over all ω(as here) or only over ω > 0 (as in ref 18), has been accounted for in Figure 8.
66. Isambert, H.; Venier, P.; Maggs, A.; Futtoum, A.; Kassab, R.; Pantaloni, D.; Carlier, M.-F. J. Biol. Chem. 1995,270,11437.
67. Morse, D. C. Viscoelasticity of concentrated isotropic solutions of semiflexible polymers. 3. Nonlinear rheology. Macromolecules, submitted for publication.
68. Ottinger, H. C. J. Chem. Phys. 1990, 92, 4540.