How stiff is DNA?

The natural stiffness of DNA, which contributes to the interactions of the many proteins involved in its biological processing and packaging, also plays an important role in modern nanotechnology. Here we report new Monte-Carlo simulations of deformable DNA molecules of potential utility in understanding the behavior of the long, double-helical polymer in the tight confines of a cell and in the design of novel nanomaterials and molecular devices. We directly determine the fluctuations in end-to-end extension associated with the conventional elastic-rod representation of DNA and with more realistic models that take account of the precise deformability of the constituent base-pair steps. Notably, the variance of end-to-end distance shows a quadratic increase with chain length in short chains of both types. We also consider the contributions to chain extension from the chemical linkages used to attach small molecular probes to DNA. The distribution of computed distances is sensitive to the intrinsic structure and allowed deformations of the tether. Surprisingly, the enhancement in end-to-end variance associated with the presence of the probe depends upon chain length, even when the probe is rigidly connected to DNA. We find that the elastic rod model of DNA in combination with a slightly fluctuating tether accounts satisfactorily for the distributions of end-to-end distances extracted from the small-angle X-ray scattering of gold nanocrystals covalently linked to the ends of short DNAs. There is no need to introduce additional structural fluctuations to reproduce the measured uptake in end-to-end fluctuations with chain length.

[1]  B. Berne,et al.  Multiple "time step" Monte Carlo , 2002 .

[2]  G. S. Manning The molecular theory of polyelectrolyte solutions with applications to the electrostatic properties of polynucleotides , 1978, Quarterly Reviews of Biophysics.

[3]  Rhiju Das,et al.  A Molecular Ruler for Measuring Quantitative Distance Distributions , 2008, PloS one.

[4]  W. Olson,et al.  3DNA: a software package for the analysis, rebuilding and visualization of three-dimensional nucleic acid structures. , 2003, Nucleic acids research.

[5]  Wilma K Olson,et al.  Sequence-dependent motions of DNA: a normal mode analysis at the base-pair level. , 2002, Biophysical journal.

[6]  Andrew V. Colasanti,et al.  A novel roll-and-slide mechanism of DNA folding in chromatin: implications for nucleosome positioning. , 2007, Journal of molecular biology.

[7]  C R Calladine,et al.  The assessment of the geometry of dinucleotide steps in double-helical DNA; a new local calculation scheme. , 1995, Journal of molecular biology.

[8]  R. Courant,et al.  Methods of Mathematical Physics , 1962 .

[9]  M. Volkenstein,et al.  Statistical mechanics of chain molecules , 1969 .

[10]  Shimon Weiss,et al.  Probing structural heterogeneities and fluctuations of nucleic acids and denatured proteins. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[11]  C. Bustamante,et al.  Overstretching B-DNA: The Elastic Response of Individual Double-Stranded and Single-Stranded DNA Molecules , 1996, Science.

[12]  Michelle D. Wang,et al.  Stretching DNA with optical tweezers. , 1997, Biophysical journal.

[13]  M. Vologodskaia,et al.  Contribution of the intrinsic curvature to measured DNA persistence length. , 2002, Journal of molecular biology.

[14]  J. Wang,et al.  Torsional rigidity of DNA and length dependence of the free energy of DNA supercoiling. , 1984, Journal of molecular biology.

[15]  Jiro Shimada,et al.  Ring-closure probabilities for twisted wormlike chains: application to DNA , 1984 .

[16]  P. Hagerman,et al.  Analysis of fluorescence energy transfer in duplex and branched DNA molecules. , 1990, Biochemistry.

[17]  K. Hideg,et al.  Site-directed spin labeling measurements of nanometer distances in nucleic acids using a sequence-independent nitroxide probe , 2006, Nucleic acids research.

[18]  G. Voth Coarse-Graining of Condensed Phase and Biomolecular Systems , 2008 .

[19]  D. Lilley,et al.  Observing the helical geometry of double-stranded DNA in solution by fluorescence resonance energy transfer. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[20]  David Swigon,et al.  Sequence-Dependent Effects in the Cyclization of Short DNA. , 2006, Journal of chemical theory and computation.

[21]  V. Zhurkin,et al.  DNA sequence-dependent deformability deduced from protein-DNA crystal complexes. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[22]  Rhiju Das,et al.  Response to Comment on “Remeasuring the Double Helix” , 2009, Science.

[23]  G. Stock,et al.  A PELDOR-based nanometer distance ruler for oligonucleotides. , 2004, Journal of the American Chemical Society.

[24]  Peter A. Kollman,et al.  Application of the RESP Methodology in the Parametrization of Organic Solvents , 1998 .

[25]  P. Hagerman,et al.  Investigation of the flexibility of DNA using transient electric birefringence , 1981, Biopolymers.

[26]  W. Olson The flexible DNA double helix. I. Average dimensions and distribution functions , 1979, Biopolymers.

[27]  V. Zhurkin,et al.  Anisotropic flexibility of DNA and the nucleosomal structure. , 1979, Nucleic acids research.

[28]  H M Berman,et al.  A standard reference frame for the description of nucleic acid base-pair geometry. , 2001, Journal of molecular biology.

[29]  J. Michael Schurr,et al.  Effect of bending strain on the torsion elastic constant of DNA. , 1996, Journal of molecular biology.

[30]  Xiang-Jun Lu,et al.  3DNA: a versatile, integrated software system for the analysis, rebuilding and visualization of three-dimensional nucleic-acid structures , 2008, Nature Protocols.

[31]  D. Norman,et al.  Distance Determination in Heterogeneous DNA Model Systems by Pulsed EPR , 2007, Chembiochem : a European journal of chemical biology.

[32]  N. Becker,et al.  Comment on “Remeasuring the Double Helix” , 2009, Science.

[33]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[34]  Rhiju Das,et al.  Remeasuring the Double Helix , 2008, Science.