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Cutting DNA: Mechanics of the topoisomerase

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Abstract

Taking the accurate theoretical solutions of Coleman and Swigon for a DNA plasmid in a plectonemic state under imposed link and responsive writhe, we examine in detail the working of the two types of cutting enzyme (topoisomerase Type 1 and topoisomerase Type 2). The mechanical processes involved can generate a plethora of outcomes, all assigning different levels of relaxation to the molecule. Alternative outcomes arise when there are co-existing (meta-) stable equilibrium states. Resolution of the outcome would then require a dynamic analysis of the relaxation process, though the Maxwell criterion can offer some guidance.

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References

  • C.R. Calladine, Biopolymers 19, 1705 (1980)

  • C.R. Calladine, H.R. Drew, B.F. Luisi, A.A. Travers, Understanding DNA: The Molecule and how it Works, 3rd edn. (Elsevier, San Diego, 2004)

  • A.R. Champneys, J.M.T. Thompson, Proc. R. Soc. A 452, 2467 (1996)

    Google Scholar 

  • A.R. Champneys, G.H.M. van der Heijden, J.M.T. Thompson, Phil. Trans. R. Soc. A 355, 2151 (1997)

    Google Scholar 

  • B.D. Coleman, D. Swigon, J. Elasticity 60, 173 (2000)

    Google Scholar 

  • B.D. Coleman, D. Swigon, I. Tobias, Phys. Rev. E 61, 759 (2000)

    Google Scholar 

  • B.D. Coleman, D. Swigon, Phil. Trans. R. Soc. A 362, 1281 (2004)

    Google Scholar 

  • F.B. Fuller, Proc. Natl. Acad. Sci. USA 68, 815 (1971)

    Google Scholar 

  • F.B. Fuller, Proc. Natl. Acad. Sci. USA 75, 3557 (1978)

    Google Scholar 

  • G.W. Hunt, M.A. Peletier, A.R. Champneys, P.D. Woods, M. Ahmer Wadee, C.J. Budd, G.J. Lord, Nonlinear Dyn. 21, 3 (2000)

  • G.W. Hunt, Nonlinear Dyn. 43, 29 (2006)

  • G.W. Hunt, G.J. Lord, M.A. Peletier, Discr. Cont. Dyn. Syst. Ser. B 3, 505 (2003)

    Google Scholar 

  • G.W. Hunt, H.M. Bolt, J.M.T. Thompson, Proc. R. Soc. A 425, 245 (1989)

    Google Scholar 

  • D. Swigon, Configurations with Self-Contact in the Theory of the Elastic Rod Model for DNA, Ph.D. dissertation (Rutgers, State University of New Jersey, USA, 1999)

  • J.M.T. Thompson, A.R. Champneys, Proc. R. Soc. A 452, 117 (1996)

    Google Scholar 

  • J.M.T. Thompson, G.H.M. van der Heijden, S. Neukirch, Proc. R. Soc. A 458, 959 (2002)

    Google Scholar 

  • A.A. Travers, J.M.T. Thompson, Phil. Trans. R. Soc. A 362, 1265 (2004)

    Google Scholar 

  • G.H.M. van der Heijden, Proc. R. Soc. A 457, 695 (2001)

    Google Scholar 

  • G.H.M. van der Heijden, J.M.T. Thompson, Nonlinear Dyn. 21, 71 (2000)

    Google Scholar 

  • G.H.M. van der Heijden, A.R. Champneys, J.M.T. Thompson, Int. J. Solids Struct. 39, 1863 (2002)

    Google Scholar 

  • G.H.M. van der Heijden, J.M.T. Thompson, S. Neukirch, J. Vibr. Contr. 9, 175 (2003)

    Google Scholar 

  • E.E. Zajac, J. Appl. Mech. 29, 136 (1962)

    Google Scholar 

  • S. Neukirch, Phys. Rev. Lett. 93, 198107 (2004)

    Google Scholar 

  • A. Goriely, J. Elasticity 84, 281 (2006)

    Google Scholar 

  • J.H. Michell, Messenger Math. 19, 181 (1890)

  • B. Taneja, B. Schnurr, A. Slesarev, J.F. Marko, A. Mondragon, Proc. Natl. Acad. Sci. USA 104, 14670 (2007)

    Google Scholar 

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Correspondence to J. M.T. Thompson.

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Thompson, J. Cutting DNA: Mechanics of the topoisomerase. Eur. Phys. J. Spec. Top. 165, 175–182 (2008). https://doi.org/10.1140/epjst/e2008-00861-1

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