Abstract
We present Monte Carlo simulations of dissociation of duplexes formed of complementary single-stranded DNAs with one of the strands attached to the surface. To describe the transition from the bound state to the unbound state of two strands located nearby, we use a lattice model taking DNA base-pair interactions and comformational changes into account. The results obtained are employed as a basis for a more coarse-grained model including strand backward association and diffusion resulting in complete dissociation. The distribution of the dissociation time is found to be exponential. This finding indicates that the non-exponential kinetic features observed in the corresponding experiments seem to be related to extrinsic factors, e.g., to the surface heterogeneity.
[1] K. A. Dill, S. B. Ozkan, M. S. Shell, T. R. Weikl, Ann. Rev. Biophys. 37, 289 (2008) http://dx.doi.org/10.1146/annurev.biophys.37.092707.15355810.1146/annurev.biophys.37.092707.153558Search in Google Scholar
[2] A. Borgia, P. M. Williams, and J. Clarke, Annu. Rev. Biochem. 77, 101 (2008) http://dx.doi.org/10.1146/annurev.biochem.77.060706.09310210.1146/annurev.biochem.77.060706.093102Search in Google Scholar
[3] A. V. Finkelstein, O. V. Galzitskaya, Phys. Life Rev. 1, 23 (2004) http://dx.doi.org/10.1016/j.plrev.2004.03.00110.1016/j.plrev.2004.03.001Search in Google Scholar
[4] V. P. Zhdanov, B. Kasemo, Proteins 42, 481 (2001) http://dx.doi.org/10.1002/1097-0134(20010301)42:4<481::AID-PROT70>3.0.CO;2-N10.1002/1097-0134(20010301)42:4<481::AID-PROT70>3.0.CO;2-NSearch in Google Scholar
[5] D. Poland, H. A. Scheraga, J. Chem. Phys. 45, 1456 (1966) http://dx.doi.org/10.1063/1.172778510.1063/1.1727785Search in Google Scholar
[6] D. Poland, H. A. Scheraga, J. Chem. Phys. 45, 1464 (1966) http://dx.doi.org/10.1063/1.172778610.1063/1.1727786Search in Google Scholar
[7] D. Poland, H. A. Scheraga, J. Chem. Phys. 45, 2071 (1966) http://dx.doi.org/10.1063/1.172789310.1063/1.1727893Search in Google Scholar
[8] H. A. Scheraga, J. A. Vila, D. R. Ripoll, Biophys. Chem. 101–102, 255 (2002) http://dx.doi.org/10.1016/S0301-4622(02)00175-810.1016/S0301-4622(02)00175-8Search in Google Scholar
[9] C. Richard, A. J. Guttmann, J. Stat. Phys. 115, 925 (2004) http://dx.doi.org/10.1023/B:JOSS.0000022370.48118.8b10.1023/B:JOSS.0000022370.48118.8bSearch in Google Scholar
[10] D. Marenduzzo, S. M. Bhattacharjee, A. Maritan, E. Orlandini, F. Seno, Phys. Rev. Lett. 88, 028102 (2001) http://dx.doi.org/10.1103/PhysRevLett.88.02810210.1103/PhysRevLett.88.028102Search in Google Scholar
[11] S. Ares, N. K. Voulgarakis, K. O. Rasmussen, A. R. Bishop, Phys. Rev. Lett. 94, 035504 (2005) http://dx.doi.org/10.1103/PhysRevLett.94.03550410.1103/PhysRevLett.94.035504Search in Google Scholar PubMed
[12] B. Coluzzi, Phys. Rev. E 73, 011911 (2006) http://dx.doi.org/10.1103/PhysRevE.73.01191110.1103/PhysRevE.73.011911Search in Google Scholar PubMed
[13] S. Ares, A. Sanchez, Eur. Phys. J. B 56, 253 (2007) http://dx.doi.org/10.1140/epjb/e2007-00112-910.1140/epjb/e2007-00112-9Search in Google Scholar
[14] A. Bar, Y. Kafri, D. Mukamel, Phys. Rev. Lett. 98, 038103 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.03810310.1103/PhysRevLett.98.038103Search in Google Scholar PubMed
[15] H. C. Fogedby, R. Metzler, Phys. Rev. Lett. 98, 070601 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.07060110.1103/PhysRevLett.98.070601Search in Google Scholar PubMed
[16] J. Palmeri, M. Manghi, N. Destainville, Phys. Rev. Lett. 99, 088103 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.08810310.1103/PhysRevLett.99.088103Search in Google Scholar PubMed
[17] J.-Y. Kim, J.-H. Jeon, W. Sung, J. Chem. Phys. 128, 055101 (2008) http://dx.doi.org/10.1063/1.282747110.1063/1.2827471Search in Google Scholar PubMed
[18] F. D. L. Santos, O. Al Hammal, M. A. Munoz, Phys. Rev. E 77, 032901 (2008) http://dx.doi.org/10.1103/PhysRevE.77.03290110.1103/PhysRevE.77.032901Search in Google Scholar PubMed
[19] B. Alexandrov, N. K. Voulgarakis, K. Rasmussenl, A. Usheva, A. R. Bishop, J. Phys.-Condens. Mat. 21, 034107 (2009) http://dx.doi.org/10.1088/0953-8984/21/3/03410710.1088/0953-8984/21/3/034107Search in Google Scholar PubMed
[20] A. Bar, Y. Kafri, D. Mukamel, J. Phys.-Condens. Mat. 21, 034110 (2009) http://dx.doi.org/10.1088/0953-8984/21/3/03411010.1088/0953-8984/21/3/034110Search in Google Scholar PubMed
[21] E. J. Sambriski, V. Ortiz, J. J. de Pablo; J. Phys.-Condens. Mat. 21, 034105 (2009) http://dx.doi.org/10.1088/0953-8984/21/3/03410510.1088/0953-8984/21/3/034105Search in Google Scholar PubMed PubMed Central
[22] A. E. Allahverdyan, Z. S. Gevorkian, C.-K. Hu, T. M. Nieuwenhuizen, Phys. Rev. E. 79, 031903 (2009) http://dx.doi.org/10.1103/PhysRevE.79.03190310.1103/PhysRevE.79.031903Search in Google Scholar PubMed
[23] R. Kapria, J. Chem. Phys. 130, 145105 (2009) http://dx.doi.org/10.1063/1.311608210.1063/1.3116082Search in Google Scholar PubMed
[24] A. Y. Koyfman, S. N. Magonov, N. O. Reich, Langmuir 25, 1091 (2009) http://dx.doi.org/10.1021/la801306j10.1021/la801306jSearch in Google Scholar PubMed
[25] D. H. Mengistu, K. Bohinc, S. May, J. Phys. Chem. B 113, 12277 (2009) http://dx.doi.org/10.1021/jp904986j10.1021/jp904986jSearch in Google Scholar PubMed
[26] Z. Li, Y. Chen, X. Li, T. I. Kamins, K. Nauka, R. S. Williams, Nano Lett. 4, 245 (2004) http://dx.doi.org/10.1021/nl034958e10.1021/nl034958eSearch in Google Scholar
[27] Y. P. Ho, M. C. Kung, S. Yang, T. H. Wang, Nano Lett. 5, 1693 (2005) http://dx.doi.org/10.1021/nl050888v10.1021/nl050888vSearch in Google Scholar PubMed
[28] L. C. Brousseau, J. Am. Chem. Soc. 128, 11346 (2006) http://dx.doi.org/10.1021/ja063022f10.1021/ja063022fSearch in Google Scholar PubMed PubMed Central
[29] C. N. LaFratta, D. R. Walt, Chem. Rev. 108, 614 (2008) http://dx.doi.org/10.1021/cr068114210.1021/cr0681142Search in Google Scholar PubMed
[30] K. Tawa, W. Knoll, Nucleic Acids Res. 32, 2372 (2004) http://dx.doi.org/10.1093/nar/gkh57210.1093/nar/gkh572Search in Google Scholar PubMed PubMed Central
[31] J. B. Fiche, A. Buhot, R. Calemczuk, T. Livache, Biophys. J. 92, 935 (2007) http://dx.doi.org/10.1529/biophysj.106.09779010.1529/biophysj.106.097790Search in Google Scholar PubMed PubMed Central
[32] A. Gunnarsson, P. Jönsson, R. Marie, J. O. Tegenfeldt, F. Höök, Nano Lett. 8, 183 (2008) http://dx.doi.org/10.1021/nl072401j10.1021/nl072401jSearch in Google Scholar PubMed
[33] A. Gunnarsson, P. Jönsson, V. P. Zhdanov, F. Höök, Nucleic Acids Res. 37, e99 (2009) http://dx.doi.org/10.1093/nar/gkp48710.1093/nar/gkp487Search in Google Scholar PubMed PubMed Central
[34] A. Sassolas, B. D. Leca-Bouvier, L. J. Blum, Chem. Rev. 108, 109 (2008) http://dx.doi.org/10.1021/cr068446710.1021/cr0684467Search in Google Scholar PubMed
[35] E. E. Nikitin, Theory of Elementary Atomic and Molecular Processes in Gases (Clarendon, Oxford, 1974) Search in Google Scholar
[36] J. Svitel, H. Boukari, D. Van Ryk, R. C. Willson, P. Schuck, Biophys. J. 92, 1742 (2007) http://dx.doi.org/10.1529/biophysj.106.09461510.1529/biophysj.106.094615Search in Google Scholar PubMed PubMed Central
[37] S. Pasche, M. Textor, L. Meagher, N. D. Spencer, H. J. Griesser, Langmuir 21, 6508 (2005) http://dx.doi.org/10.1021/la050386x10.1021/la050386xSearch in Google Scholar PubMed
[38] V. Castells, S. X. Yang, P. R. Van Tassel, Phys. Rev. E 65, 031912 (2002) http://dx.doi.org/10.1103/PhysRevE.65.03191210.1103/PhysRevE.65.031912Search in Google Scholar PubMed
[39] B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, P. Walter, Molecular Biology of the Cell (Garland, New York, 2002) Search in Google Scholar
[40] A. -L. Barabasi, H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press: Cambridge, 1995) 10.1017/CBO9780511599798Search in Google Scholar
[41] K. Binder, In: K. Binder (Ed.), Monte Carlo Methods in Statistical Physics (Springer: Berlin, 1979) 1 Search in Google Scholar
[42] S. A. Rice, Diffusion-Limited Reactions (Elsevier: Amsterdam, 1985) Search in Google Scholar
[43] H. Kim, K. J. Shin, Phys. Rev. Lett. 82, 1578 (1999) http://dx.doi.org/10.1103/PhysRevLett.82.157810.1103/PhysRevLett.82.1578Search in Google Scholar
[44] H. Kim, K. J. Shin, J. Phys.-Condens. Mat. 19, 065137 (2007) http://dx.doi.org/10.1088/0953-8984/19/6/06513710.1088/0953-8984/19/6/065137Search in Google Scholar
[45] S. Park, N. Agmon, J. Phys. Chem. B 112, 12104 (2008) http://dx.doi.org/10.1021/jp803873p10.1021/jp803873pSearch in Google Scholar PubMed
[46] W. Min, X. S. Xie, B. Bagchi, J. Chem. Phys. 131, 065104 (2009) http://dx.doi.org/10.1063/1.320727410.1063/1.3207274Search in Google Scholar PubMed
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