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Effect of intrinsic curvature on semiflexible polymers

Surya K. Ghosh, Kulveer Singh, and Anirban Sain*

  • Physics Department, Indian Institute of Technology-Bombay, Powai, Mumbai 400076, India

  • *asain@phy.iitb.ac.in
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Phys. Rev. E 80, 051904 – Published 5 November, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.051904

Abstract

Recently many important biopolymers have been found to possess intrinsic curvature. Tubulin protofilaments in animal cells, FtsZ filaments in bacteria and double stranded DNA are examples. We examine how intrinsic curvature influences the conformational statistics of such polymers. We give exact results for the tangent-tangent spatial correlation function C(r)=⟨t̂(s).t̂(s+r)⟩, both in two and three dimensions. Contrary to expectation, C(r) does not show any oscillatory behavior, rather decays exponentially and the effective persistence length has strong length dependence for short polymers. We also compute the distribution function P(R) of the end to end distance R and show how curved chains can be distinguished from wormlike chains using loop formation probability.

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References (15)

  1. M. Caplow, R. L. Ruhlen, and J. Shanks, J. Cell Biol. 127, 779 (1994); M. I. Molodtsov et al., Proc. Natl. Acad. Sci. U.S.A. 102, 4353 (2005).
  2. D. Popp et al., Biopolymers 91, 340 (2009).
  3. J. Mingorance et al., J. Biol. Chem. 280, 20909 (2005).
  4. B. Ghosh and A. Sain, Phys. Rev. Lett. 101, 178101 (2008).
  5. H. Yamakawa, Macromolecules 10, 692 (1977); J. Shimada and H. Yamakawa, ibid. 17, 689 (1984).
  6. J. Moukhtar et al., Phys. Rev. Lett. 98, 178101 (2007).
  7. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford University Press, Oxford, 1986).
  8. S. Rappaport and Y. Rabin, Macromolecules 37, 7847 (2004).
  9. A. Craig and E. M. Terentjev, Macromolecules 39, 4557 (2006).
  10. R. E. Goldstein and S. A. Langer, Phys. Rev. Lett. 75, 1094 (1995).
  11. M. E. Fisher, Am. J. Phys. 32, 343 (1964); L. D. Landau, Statistical Physics (Pergamon Press, Oxford, 2002).
  12. C. Yuan, H. Chen, X. W. Lou, and L. A. Archer, Phys. Rev. Lett. 100, 018102 (2008).
  13. J. Samuel and S. Sinha, Phys. Rev. E 66, 050801(R) (2002).
  14. P. Ranjith, P. B. Sunil Kumar, and G. I. Menon, Phys. Rev. Lett. 94, 138102 (2005).
  15. D. Bensimon, D. Dohmi, and M. Mezard, Europhys. Lett. 42, 97 (1998).

Outline

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Phys. Rev. E 80, 051904– Published 5 November, 2009
  • Received 21 April 2009

© 2009 American Physical Society

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