Direct observation of DNA knots using a solid-state nanopore.

Long DNA molecules can self-entangle into knots. Experimental techniques for observing such DNA knots (primarily gel electrophoresis) are limited to bulk methods and circular molecules below 10 kilobase pairs in length. Here, we show that solid-state nanopores can be used to directly observe individual knots in both linear and circular single DNA molecules of arbitrary length. The DNA knots are observed as short spikes in the nanopore current traces of the traversing DNA molecules and their detection is dependent on a sufficiently high measurement resolution, which can be achieved using high-concentration LiCl buffers. We study the percentage of molecules with knots for DNA molecules of up to 166 kilobase pairs in length and find that the knotting occurrence rises with the length of the DNA molecule, consistent with a constant knotting probability per unit length. Our experimental data compare favourably with previous simulation-based predictions for long polymers. From the translocation time of the knot through the nanopore, we estimate that the majority of the DNA knots are tight, with remarkably small sizes below 100 nm. In the case of linear molecules, we also observe that knots are able to slide out on application of high driving forces (voltage).

[1]  M. Kardar,et al.  Equilibrium shapes of flat knots. , 2001, Physical review letters.

[2]  Enzo Orlandini,et al.  The size of knots in polymers , 2009, Physical biology.

[3]  Tetsuo Deguchi,et al.  A Statistical Study of Random Knotting Using the Vassiliev Invariants , 1994 .

[4]  M. Muthukumar Mechanism of DNA transport through pores. , 2007, Annual review of biophysics and biomolecular structure.

[5]  Aleksei Aksimentiev,et al.  Slowing down DNA translocation through a nanopore in lithium chloride. , 2012, Nano letters.

[6]  Frank Dean,et al.  Determination of the absolute handedness of knots and catenanes of DNA , 1983, Nature.

[7]  K. Shepard,et al.  Integrated nanopore sensing platform with sub-microsecond temporal resolution , 2012, Nature Methods.

[8]  Mehran Kardar,et al.  Anomalous dynamics of forced translocation. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Peter Virnau,et al.  A Monte Carlo Study of Knots in Long Double-Stranded DNA Chains , 2016, PLoS Comput. Biol..

[10]  Akio Kawauchi,et al.  A Survey of Knot Theory , 1996 .

[11]  C. Dekker,et al.  Detection of Individual Proteins Bound along DNA Using Solid-State Nanopores. , 2015, Nano letters.

[12]  Alexander Y. Grosberg,et al.  A few notes about polymer knots , 2009 .

[13]  J. Joanny,et al.  Fast DNA translocation through a solid-state nanopore. , 2004, Nano letters.

[14]  Tetsuo Deguchi,et al.  Universality of random knotting , 1997 .

[15]  J. Portugal,et al.  T7 RNA polymerase cannot transcribe through a highly knotted DNA template. , 1996, Nucleic acids research.

[16]  J. Wang,et al.  Thermodynamic and kinetic studies on the interconversion between the linear and circular forms of phage lambda DNA. , 1966, Journal of molecular biology.

[17]  Fernando Albertorio,et al.  Origins and consequences of velocity fluctuations during DNA passage through a nanopore. , 2011, Biophysical journal.

[18]  E. L. Zechiedrich,et al.  Topoisomerase IV, alone, unknots DNA in E. coli. , 2001, Genes & development.

[19]  Cees Dekker,et al.  Measurement of the docking time of a DNA molecule onto a solid-state nanopore. , 2012, Nano letters.

[20]  Fractal dimension and localization of DNA knots. , 2006, Physical review letters.

[21]  Alexander Vologodskii,et al.  Brownian dynamics simulation of knot diffusion along a stretched DNA molecule. , 2006, Biophysical journal.

[22]  Peixuan Guo,et al.  Solid-State and Biological Nanopore for Real-Time Sensing of Single Chemical and Sequencing of DNA. , 2013, Nano today.

[23]  Antonio Suma,et al.  Pore Translocation of Knotted Polymer Chains: How Friction Depends on Knot Complexity. , 2015, ACS macro letters.

[24]  Liang Dai,et al.  Metastable Tight Knots in Semiflexible Chains , 2014 .

[25]  Dmitrii E Makarov,et al.  Translocation of a knotted polypeptide through a pore. , 2008, The Journal of chemical physics.

[26]  M. Wanunu Nanopores: A journey towards DNA sequencing. , 2012, Physics of Life Reviews.

[27]  Marc Gershow,et al.  Recapturing and trapping single molecules with a solid-state nanopore. , 2007, Nature nanotechnology.

[28]  J. Golovchenko,et al.  Trapping DNA near a solid-state nanopore. , 2012, Biophysical journal.

[29]  P. Stączek,et al.  Gyrase and Topo IV modulate chromosome domain size in vivo , 1998, Molecular microbiology.

[30]  DNA Topoisomerase Protocols : Volume I: DNA Topology and Enzymes , 1999 .

[31]  Cees Dekker,et al.  Fast translocation of proteins through solid state nanopores. , 2013, Nano letters.

[32]  C Micheletti,et al.  Topological jamming of spontaneously knotted polyelectrolyte chains driven through a nanopore. , 2012, Physical review letters.

[33]  A. Rodríguez-Campos DNA Knotting Abolishes in Vitro Chromatin Assembly* , 1996, The Journal of Biological Chemistry.

[34]  T. Mitsui,et al.  Directly observing the motion of DNA molecules near solid-state nanopores. , 2012, ACS nano.

[35]  S. Whittington,et al.  Knots in self-avoiding walks , 1988 .

[36]  C. Dekker,et al.  Non-equilibrium folding of individual DNA molecules recaptured up to 1000 times in a solid state nanopore , 2013, Nanotechnology.

[37]  Yitzhak Rabin,et al.  Metastable tight knots in a wormlike polymer. , 2007, Physical review letters.

[38]  Stephen R Quake,et al.  Behavior of complex knots in single DNA molecules. , 2003, Physical review letters.

[39]  M. Mayer,et al.  Noise and bandwidth of current recordings from submicrometer pores and nanopores. , 2008, ACS nano.

[40]  N R Cozzarelli,et al.  Discovery of a predicted DNA knot substantiates a model for site-specific recombination. , 1985, Science.

[41]  D. Stein,et al.  Statistics of DNA capture by a solid-state nanopore. , 2012, Physical review letters.

[42]  C. Dekker,et al.  Data analysis methods for solid-state nanopores , 2015, Nanotechnology.

[43]  Hiroyasu Itoh,et al.  Tying a molecular knot with optical tweezers , 1999, Nature.

[44]  T. Deguchi,et al.  Characteristic length of random knotting for cylindrical self-avoiding polygons , 2000, cond-mat/0008268.

[45]  Patrick S. Doyle,et al.  Compression and self-entanglement of single DNA molecules under uniform electric field , 2011, Proceedings of the National Academy of Sciences.

[46]  Gaurav Arya,et al.  Biophysics of knotting. , 2010, Annual review of biophysics.

[47]  C. Dekker,et al.  Rapid manufacturing of low-noise membranes for nanopore sensors by trans-chip illumination lithography , 2012, Nanotechnology.

[48]  L. Liu,et al.  Novel topologically knotted DNA from bacteriophage P4 capsids: studies with DNA topoisomerases. , 1981, Nucleic acids research.

[49]  N. Cozzarelli,et al.  Biochemical topology: applications to DNA recombination and replication. , 1986, Science.

[50]  Javier Arsuaga,et al.  Novel display of knotted DNA molecules by two-dimensional gel electrophoresis , 2001, Nucleic Acids Res..

[51]  N R Cozzarelli,et al.  Probability of DNA knotting and the effective diameter of the DNA double helix. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[52]  J. Wang,et al.  Knotting of a DNA chain during ring closure. , 1993, Science.

[53]  A. Hall,et al.  Interpreting the conductance blockades of DNA translocations through solid-state nanopores. , 2014, ACS nano.

[54]  Cees Dekker,et al.  Velocity of DNA during translocation through a solid-state nanopore. , 2015, Nano letters.