A model of anomalous chain translocation dynamics

Journal of Physical Chemistry B

Volumn 112, Issue 50, 2008, Pages 15973-15979

  Chaudhury, Srabanti ^a   Cherayil, Binny J ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS;

BARRIER CROSSINGS; BROWNIAN DIFFUSIONS; LANGEVIN EQUATIONS; MEAN FIRST PASSAGE TIMES; MEAN SQUARES; POLYMER TRANSLOCATIONS; RANDOM FORCES; SCALING RELATIONS; STOCHASTIC DYNAMICS; TEMPORAL CORRELATIONS; TRANSLOCATION DYNAMICS;

STOCHASTIC MODELS;

EID: 58149242677     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp7108362     Document Type: Article

References (59)

1. Dreiseilkelmann, B. Microbiol. Rev. 1994, 58, 293.
2. Kasamatsu, H.; Nakanishi. A. Annu. Rev. Microbiol. 1998, 52, 627.
3. Whittaker. G. R.; Helenius, A. Virology 1998, 246.
4. Salman, H.; Zbaida, D.; Rabin, Y.; Chatenay, D.; Elbaum, M. Proc. Natl. Acad. Sci U.S.A. 2001, 98, 7247.
5. Lim, R. Y. H.; Fahrenkrog, B.; Koser, J.; Schwarz-Herion, K.; Deng, J.; Aebi, U. Science 2007, 318, 640.
6. Sebastian, K. L. Resonance 2007, 12, 48.
7. Hanss, B.; Leal-Pinto, E.; Bruggeman, L. A.; Copeland, T. D.; Klotman, P. E. Proc. Nati. Acad. Sci. U.S.A. 1998, 95, 1921.
8. Kasianowicz, J. J.; Brandin, E.; Branton, D.; Deamer, D. Proc Natl. Acad. Sci. U.S.A. 1996, 93, 13770.
9. Akeson, M.; Branton, D.; Kasianowicz. J. J.; Brandin, E.; Deamer, D. Biophys. J. 1999, 77, 3227.
10. Henrickson, S. E.; Misakian. M.; Robertson, B.; Kasianowicz, J. J. Phys. Rev. Lett. 2000, 85,3057.
11. Meller, A.; Nivon, L.; Brandin. E.; Golovchenko, J. A.; Branton. D. Proc Natl. Acad. Sci. U.S.A. 2000, 97, 1079.
12. Meller, A.; Nivon, L.; Branton, D. Phys. Rev. Lett. 2001, 86, 3435.
13. Meller, A.; Branton, D. Electrophoresis 2002, 23, 2583.
14. Bates, M.; Burns, M.; Meller. A. Biophys. J. 2003, 84, 2366.
15. Meller, A. J. Phys.: Condens. Matter 2003, 15, R581.
16. Chern, S. S.; Cardenas, A. E.; Coalson, R. D. J. Chem. Phys. 2001, 115, 7772.
17. Kong, C. Y.; Muthukumar, M. Electrophoresis 2002, 23, 2697
18. Farkas, Z.; Derenyi. I.; Vicsek, T. J. Phys.: Condens. Matter 2003, 15, S1767.
19. Tian, P.; Smith, G. D. J. Chem. Phys. 2003, 119, 11475.
20. Milchev, A.; Binder, K.; Bhattacharya, A. J. Chem. Phys. 2004, 121, 6042.
21. Luo, K.;Huopaniemi, I.; Ala-Nissila, T.; Ying, S.-C. J. Chem. Phys. 2006, 124, 114704.
22. Huopaniemi, I.; Luo, K.; Ala-Nissila, T.; Ying, S.-C. J. Chem.Phys. 2006, 125, 124901
23. Di Marzio, E. A.; Mandell, A. J. J. Chem. Phys. 1997, 107, 5510.
24. Sung, W.; Park. P. J. Phys. Rev. Lett. 1996, 77, 783.
25. Park. P. J.: Sung, W. J. Chem. Phys. 1998, 108. 3013.
26. Muthukumar, M. J. Chem. Phys. 1999, 111, 10371.
27. Lubenskv, D. K.; Nelson, D. R. Biophys. J. 1999, 77, 1824.
28. Metzler, R.; Klafter, J. Biophys. J. 2003, 85, 2776.
29. Chuang, J.; Kantor, Y.; Kardar, M. Phys. Rev. E 2001, 65, 011802.
30. Kantor, Y.; Kardar, M. Phys. Rev. E 2004, 69, 021806.
31. Dubbeldam, J. L. A.; Milchev. A.; Rostiashvili, V. G.; Vilgis, T. A. Phys. Rev. E 2007, 76, 010801 (R).
32. Dubbeldam, J. L. A.; Milchev, A.;Rostiashvili, V. G.; Vilgis, T. A. Europhys. Lett. 2007, 79, 18002
33. Kramers, H. A. Physica 1940, 7, 284.
34. Doi, M.; Edwards, S. F. The Theory of Polymer Dynamics, Clarendon Press: Oxford, 1986.
35. Wolterink, J. K.; Barkema. G. T.; Panja. D. Phys. Rev. Lett. 2006, 96, 208301.
36. Vocks, H.; Panja, D.; Barkema, G. T.; Ball, R. C. arXiv: 0710.4940v3.
37. Panja. D.; Barkema, G. T.; Ball. R. C. J. Phys.: Condens. Matter 2007, 19, 432202.
38. Metzler, R.; Barkai, E.; Klafter, J. Phys. Rev. Lett. 1999, 82, 3563.
39. Barkai, E.; Metzler. R.; Klafter, J. Phys. Rev. E2000, 61, 132.
40. Metzler, R.; Klafter, J. Phys. Rep. 2000, 339, 1.
41. Yuste, S. B.; Lindenberg, K. Phys. Rev. E 2004, 69, 033101.
42. Kou, S. C.; Xie, X. S. Phys. Rev. Lett. 2004, 93, 180603.
43. Chaudhurv. S.; Cherayil. B. J. J. Chem. Phys. 2006, 125, 024904.
44. Chaudhury, S.; Cheravil, B. J. J. Chem. Phys. 2006, 125, 114106.
45. Chaudhury, S.; Cheravil, B. J. J. Chem. Phys. 2006, 25, 184505.
46. Chaudhury,S.: Kou, S. C: Cherayil, B. J. J. Phys. Chem. B 2007, 111, 2377.
47. Mandelbrot, B.; van Ness, J. SIAM Rev. 1968, 10. 422.
48. Lim, S. C.; Muniandy, S. V. Phys. Rev. E 2002, 66, 021114.
49. Fa, K. S.; Lenzi, E. K.Phys. Rev. E 2005, 71, 012101.
50. (24)Erdélyi. A.; Magnus, F. W.; Oberhettinger, F.; Tricomi, F. G. Higher Transcendental Functions; McGraw-Hill: New York, 1953; Vol. 3.
51. Viñales, A. D.; Despósito, M. A. Phys. Rev. E 2007, 75, 042102. A(t) can be written formally as the τ→0 limit of eq 7 in this reference; in combination with eqs 36 and 37, this leads to eqs 3a and 3b of the present work.
52. Gardiner, C. W. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Science; Springer-Verlag: Berlin, 1983.
53. The sum over n was carried out using Mathematica.
54. Gradshteyn, I. S.; Ryzhik, I. M. Table of Integrals, Series and Products; Academic: San Diego, CA, 1980.
55. McQuarrie, D. Statistical Mechanics; University Science Books: Sausalito, CA, 2000.
56. Novikov. E. A. Sov. Phys. JETP 1965, 20, 1290.
57. Okuyama, S.; Oxtoby, D. J. Chem. Phys. 1986, 84, 5824, 5830.
58. Fox, R. F. Phys. Rev. A 1986, 33, 467.
59. Fox, R. F. J. Math. Phys. 1977, 18, 2331.