Buckling of microtubules under bending and torsion

Journal of Applied Physics

Volumn 103, Issue 10, 2008, Pages

  Yi, Lijun ^a   Chang, Tienchong ^a   Ru, Chongqing ^b  

^a SHANGHAI UNIVERSITY   (China)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BENDING MOMENTS; BUCKLING; CELLS;

BENDING BUCKLING; MICROTUBULES;

TORSIONAL STRESS;

EID: 44649183989     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2930882     Document Type: Article

References (57)

1. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer, Sunderland, 2001).
2. D. Boal, Mechanics of the Cell (Cambridge University Press, Cambridge, England, 2002).
3. M. Schliwa and G. Woehlke, Nature (London) 0028-0836 10.1038/nature01601 422, 759 (2003).
4. N. J. Carter and R. A. Cross, Nature (London) 0028-0836 10.1038/nature03528 435, 308 (2005).
5. C. J. Brokaw, Math. Biosci. 0025-5564 10.1016/0025-5564(88)90069-7 90, 247 (1988).
6. J. E. Schoutens, J. Biol. Phys. 0092-0606 10.1023/B:JOBP.0000035852. 95326.79 30, 97 (2004).
7. M. K. Shaw, H. L. Compton, D. S. Roos, and L. G. Tilney, J. Cell. Sci. 113, 1241 (2000). 0021-9533
8. T. Wittmann and C. M. Waterman, J. Cell. Sci. 114, 3795 (2001). 0021-9533
9. S. Etienne-Manneville, Traffic 5, 470 (2004). 1398-9219
10. J. Zheng, R. E. Buxbaum, and S. R. Heidemann, J. Cell. Sci. 104, 1239 (1993). 0021-9533
11. C. M. Waterman-Storer and E. D. Salmon, J. Cell Biol. 0021-9525 10.1083/jcb.139.2.417 139, 417 (1997).
12. I. A. Vorobjev, T. M. Svitkina, and G. G. Borisy, J. Cell. Sci. 110, 2635 (1997). 0021-9533
13. I. M. Jánosi, D. Chŕtien, and H. Flyvbjerg, Eur. Biophys. J. 0175-7571 10.1007/s002490050160 27, 501 (1998).
14. D. J. Odde, L. Ma, A. H. Briggs, A. Demarco, and M. W. Kirschner, J. Cell. Sci. 112, 3283 (1999). 0021-9533
15. A. D. Bicek, E. Tüzel, D. M. Kroll, and D. J. Odde, Methods Cell Biol. 0091-679X 10.1016/S0091-679X(07)83010-X 83, 237 (2007).
16. P. Venier, A. C. Maggs, M. F. Carlier, and D. Pantaloni, J. Biol. Chem. 269, 13353 (1994). 0021-9258
17. B. Mickey and J. Howard, J. Cell Biol. 0021-9525 10.1083/jcb.130.4.909 130, 909 (1995).
18. J. C. Kurz and R. C. Williams, Biochemistry 0006-2960 10.1021/bi00041a014 34, 13374 (1995).
19. H. Felgner, R. Frank, and M. Schliwa, J. Cell. Sci. 109, 509 (1996). 0021-9533
20. H. Felgner, R. Frank, J. Biernat, E. M. Mandelkow, E. Mandelkow, B. Ludin, A. Matus, and M. Schliwa, J. Cell Biol. 0021-9525 10.1083/jcb.138.5.1067 138, 1067 (1997).
21. M. Kikumoto, M. Kurachi, V. Tosa, and H. Tashiro, Biophys. J. 0006-3495 10.1529/biophysj.104.055483 90, 1687 (2006).
22. R. B. Dye, S. P. Fink, and R. C. Williams, J. Biol. Chem. 268, 6847 (1993). 0021-9258
23. F. Gittes, B. Mickey, J. Nettleton, and J. Howard, J. Cell Biol. 0021-9525 10.1083/jcb.120.4.923 120, 923 (1993).
24. P. Poncharal, Z. L. Wang, and D. Ugarte, Science 0036-8075 10.1126/science.283.5407.1513 283, 1513 (1999).
25. J. Z. Liu, Q. S. Zheng, and Q. Jiang, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.86.4843 86, 4843 (2001).
26. T. C. Chang and J. Hou, J. Appl. Phys. 0021-8979 10.1063/1.2400096 100, 114327 (2006).
27. V. Hunyadi, D. Chŕtien, H. Flyvbjerg, and I. M. Jánosi, Biol. Cell 99, 117 (2007). 0248-4900
28. D. Chŕtien and S. D. Fuller, J. Mol. Biol. 0022-2836 10.1006/jmbi.2000.3696 298, 663 (2000).
29. T. Ishida, S. Thitamadee, and T. Hashimoto, J. Plant Res. 120, 61 (2007). 0918-9440
30. D. J. Needleman, M. A. Ojeda-Lopez, U. Raviv, K. Ewert, B. Jayna, J. B. Jones, H. P. Miller, L. Wilson, and C. R. Safinya, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.93.198104 93, 198104 (2004).
31. E. Nogales, M. Whittaker, R. A. Milligan, and K. H. Downing, Cell 0092-8674 10.1016/S0092-8674(00)80961-7 96, 79 (1999).
32. V. VanBuren, D. J. Odde, and L. Cassimeris, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 10.1073/pnas.092504999 99, 6035 (2002).
33. A. Kis, S. Kasas, B. Babić, A. J. Kulik, W. Benòt, G. A. D. Briggs, C. Schönenberger, S. Catsicas, and L. Forró, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.89.248101 89, 248101 (2002).
34. S. Kasas, C. Cibert, A. Kis, P. D. L. Rios, B. M. Riederer, L. Forro, G. Dietler, and S. Catsicas, Biol. Cell 0248-4900 10.1016/j.biolcel.2004.09.002 96, 697 (2004).
35. J. A. Tuszynski, T. Luchko, S. Portet, and J. M. Dixon, Eur. Phys. J. E 1292-8941 10.1140/epje/i2004-10102-5 17, 29 (2005).
36. M. I. Molodtsov, E. A. Ermakova, E. E. Shnol, E. L. Grishchuk, J. R. McIntosh, and F. I. Ataullakhanov, Biophys. J. 0006-3495 10.1529/biophysj.104. 051789 88, 3167 (2005).
37. C. Y. Wang, C. Q. Ru, and A. Mioduchowski, Phys. Rev. E 1063-651X 10.1103/PhysRevE.74.052901 74, 052901 (2006).
38. C. Y. Wang, C. Q. Ru, and A. Mioduchowski, Physica E (Amsterdam) 1386-9477 10.1016/j.physe.2006.05.008 35, 48 (2006).
39. X. S. Qian, J. Q. Zhang, and C. Q. Ru, J. Appl. Phys. 0021-8979 10.1063/1.2717573 101, 084702 (2007).
40. G. Y. Huang, Y. -W. Mai, and C. Q. Ru, Nanotechnology 19, 12501 (2008). 0957-4484
41. C. Li, C. Q. Ru, and A. Mioduchowski, Biochem. Biophys. Res. Commun. 0006-291X 10.1016/j.bbrc.2006.08.153 349, 1145 (2006).
42. M. Kurachi, M. Hoshi, and H. Tashiro, Cell Motil. Cytoskeleton 0886-1544 10.1002/cm.970300306 30, 221 (1995).
43. D. K. Fygenson, J. K. Marko, and A. L. Libchaber, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.79.4497 79, 4497 (1997).
44. N. Wang, K. Naruse, D. Stamenovic, J. J. Fredberg, S. M. Mijailovich, I. M. Tolic-Norrelykke, T. Polte, R. Mannix, and D. E. Ingber, Proc. Natl. Acad. Sci. U.S.A. 0027-8424 10.1073/pnas.141199598 98, 7765 (2001).
45. P. Etitum and S. B. Dong, Int. J. Solids Struct. 0020-7683 10.1016/0020-7683(94)00145-M 32, 1231 (1995).
46. B. Geier and G. Singh, Aerosp. Sci. Technol. 1270-9638 10.1016/S1270-9638(97)90023-7 1, 47 (1997).
47. M. R. Eslami and R. Javaheri, J. Therm. Stresses 0149-5739 10.1080/014957399280733 22, 527 (1999).
48. W. Flügge, Stress in Shells (Springer-Verlag, Berlin, New York, 1960).
49. Y. M. Sirenko, M. A. Stroscio, and K. W. Kim, Phys. Rev. E 1063-651X 10.1103/PhysRevE.53.1003 53, 1003 (1996).
50. P. J. de Pablo, L. A. T. Schaap, F. C. Mackintosh, and C. F. Schmit, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.91.098101 91, 098101 (2003).
51. K. Kawaguchi, S. Ishiwata, and T. Yamashita, Biochem. Biophys. Res. Commun. 336, 637 (2008). 0006-291X
52. P. Seide and V. Weingarten, J. Appl. Mech. 28, 112 (1961). 0021-8936
53. X. Wang and H. K. Yang, Phys. Rev. B 0163-1829 10.1103/PhysRevB.73.085409 73, 085409 (2006).
54. S. G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body (Mir, Moscow, 1981).
55. E. L. Grishchuk, M. I. Molodtsov, F. I. Ataullakhanov, and J. R. McIntosh, Nature (London) 0028-0836 10.1038/nature04132 438, 384 (2005).
56. A. Yildiz and P. R. Selvin, Trends Cell Biol. 0962-8924 10.1016/j.tcb.2004.12.007 15, 112 (2005).
57. C. Li, C. Q. Ru, and A. Mioduchowski, Biochem. Biophys. Res. Commun. 351, 159 (2006). 0006-291X