Abstract.
We study elastic properties of rigid filaments modeled as stiff chains shorter than their persistence length. By rigid filaments we mean that fluctuations around the optimal filament shape are weak and that low-order expansions (quadratic or quartic) in the deviation from the optimal shape are sufficient to describe them. Our main interest lies in the profiles of force vs. projected filament length, closure probability and weakly buckled states. Results may be relevant to experiments on self-assembled biological (microtubules, actin filaments) and synthetic (organo-gelators) filaments, carbon nanotubes and polymers grafted with strongly repelling side chains, some of which are discussed here.
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F. Gittes, E. Meyhofer, S. Baek, J. Howard, J. Cell Biol. 120, 923 (1993).
M.G. Ancona, S.E. Kooi, W. Kruppa, A.W. Snow, E.E. Foos, L.J. Whitman, D. Park, L. Shirey, Nanolett. 3, 135 (2003).
S. Iijima, Nature 354, 56 (1991).
S.B. Smith, L. Finzi, C. Bustamante, Science 258, 1122 (1992).
M. Rief, F. Oesterhelt, B. Heymann, H.E. Gaub, Science 275, 1295 (1997).
J. Liphardt, B. Onoa, S.B. Smith, I. Tinoco, C. Bustamante, Science 292, 733 (2001).
M.S.Z. Kellermayer, S.B. Smith, H.L. Granzier, C. Bustamante, Science 271, 1112 (1997).
J.F. Marko, E.D. Siggia, Macromolecules 28, 8759 (1995).
U. Gerland, R. Bundschuh, T. Hwa, Biophys. J. 84, 2831 (2003).
N.-K. Lee, D. Thirumalai, Biophys. J. 86, 2641 (2004).
E. Jarkova, N.-K. Lee, S. Obukhov, Macromolecules 38, 2469 (2005).
T.R. Strick, J.F. Allemand, D. Bensimon, V. Croquette, Biophys. J. 74, 2016 (1998).
Theo Odijk, J. Chem. Phys. 108, 6923 (1998).
J. Berro, A. Michelot, L. Blanchoin, D.R. Kovar, J.-L. Martiel, Biophys. J. 92, 2546 (2007).
Y. Zhao, L. An, J. Fang, Nanolett. 7, 1360 (2007).
J.W. Kerssemakers, M.E. Janson, A. van der Horst, M. Dogterom, Appl. Phys. Lett. 83, 4441 (2003).
M.E. Janson, M. Dogterom, Phys. Rev. Lett. 92, 248101 (2004).
Y. Komarova, I.A. Vorobjev, G. Borisy, J. Cell Sci. 115, 3528 (2002).
P. Ranjith, P.B.S. Kumar, Phys. Rev. Lett. 89, 018302 (2002).
F.C. MacKintosh, J. Käs, P.A. Jammey, Phys. Rev. Lett. 75, 4425 (1995).
Klaus Kroy, Erwin Frey, Phys. Rev. Lett. 76, 306 (1996).
Claus Heussinger, Mark Bathe, Erwin Frey, Phys. Rev. Lett. 99, 048101 (2007).
I.M. Kulic, H. Schiessel, Biophys. J. 84, 3197 (2003).
Marc Emanuel, Hervé Mohrbach, Mehmet Sayar, Helmut Schiessel, I.M. Kulic, preprint cond-mat arXiv:011913.
A. Goldar, J.-L. Sikorav, Eur. Phys. J. E 14, 211 (2004).
A. Nyrkova, A.N. Semenov, J.F. Joanny, A.R. Khokhlov, J. Phys. II 6, 1411 (1996).
S. Neukrich, Phys. Rev. Lett. 93, 198107 (2004).
A.V. Vologodskii, N.R. Cozzarelli, Annu. Rev. Biophys. Biomol. Struct. 23, 609 (1994).
L.D. Landau, E.M. Lifshitz, Theory of Elasticity (Pergamon, New York, 1986).
C.P. Brangwynne, F.C. MacKintosh, S. Kumar, J. Cell Biol. 173, 733 (2006).
Y. Zhang, A.E. McEwen, D.M. Crothers, S.D. Levene, Biophys. J. 90, 1903 (2006).
S. Jun, J. Bechhoefer, B. Ha, Europhys. Lett. 64, 420 (2003).
M. Sano, A. Kamino, J. Okamura, S. Shinkai, Science 293, 1299 (2001).
J.D. Kahn, D.M. Crothers, Proc. Natl. Acad. Sci. U.S.A. 89, 6343 (1992).
Q. Du, C. Smith, N. Shiffeldrim, M. Vologodskaia, A. Vologodskii, Proc. Natl. Acad. Sci. U.S.A. 102, 5397 (2005).
J. Im, L. Huang, J. Kang, M. Lee, S. Rao, N.-K. Lee, S. Hong, J. Chem. Phys. 124, 224707 (2006).
P.M. Pil, S.J. Lippard, Science 256, 234 (1992).
S. Ferrari, V.R. Harley, A. Pontiggia, P.N. Goodfellow, R. Lovell-Badge, M.E. Bianchi, Embo J. 11, 4497 (1992).
Y. Tanaka, O. Nureki, H. Kurumizaka, Embo J. 23, 6612 (2001).
S.V. Kuznetsov, S. Sugimura, P. Vivas, D.M. Crothers, A. Ansari, Proc. Natl. Acad. Sci. U.S.A. 103, 18515 (2006).
N.-K. Lee, S.-C. Hong, S. Obukhov, A. Johner, preprint.
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Lee, N.K., Johner, A. & Hong, S.C. Compressing a rigid filament: Buckling and cyclization. Eur. Phys. J. E 24, 229–241 (2007). https://doi.org/10.1140/epje/i2007-10230-4
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DOI: https://doi.org/10.1140/epje/i2007-10230-4