Molecular spiders on a plane

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 6, 2012, Pages

  Antal, Tibor ^a   Krapivsky, P L ^b  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

A-PLANE; BIO-MOLECULAR; HOPPING RATE; LATTICE SITES; NEAREST-NEIGHBORS; NON-MARKOVIAN; RANDOM WALK; SQUARE LATTICES;

DNA;

SUBSTRATES;

EID: 84863332780     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.061927     Document Type: Article

References (38)

1. M. N. Stojanovic and D. Stefanovic, Nat. Biotechnol. NABIF9 1087-0156 10.1038/nbt862 21, 1069 (2003). (Pubitemid 37064737)
2. H. Yan, X. Zhang, Z. Chen, and N. C. Seeman, Nature (London) NATUAS 0028-0836 10.1038/415062a 415, 62 (2002); (Pubitemid 34062447)
3. N. C. Seeman, Trends Biochem. Sci. 0968-0004 10.1016/j.tibs.2005.01.007 30, 119 (2005). (Pubitemid 40332527)
4. W. B. Sherman and N. C. Seeman, Nano Lett. NALEFD 1530-6984 10.1021/nl049527q 4, 1203 (2004). (Pubitemid 39092159)
5. J.-S. Shin and N. A. Pierce, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja047543j 126, 10834 (2004). (Pubitemid 39180556)
6. J. Bath, S. J. Green, K. E. Allen, and A. J. Turberfield, Small 1613-6810 10.1002/smll.200900078 5, 1513 (2009).
7. T. Omabegho, R. Sha, and N. C. Seeman, Science SCIEAS 0036-8075 10.1126/science.1170336 324, 67 (2009).
8. S. F. J. Wickham, M. Endo, Y. Katsuda, K. Hidaka, J. Bath, H. Sugiyama, and A. J. Turberfield, Nat. Nanotechnol. 1748-3387 10.1038/nnano.2010.284 6, 166 (2011).
9. E. R. Kay, D. A. Leigh, and F. Zerbetto, Angew. Chem., Int. Ed. 1433-7851 10.1002/anie.200504313 46, 72 (2007). (Pubitemid 46074791)
10. R. Pei, S. K. Taylor, D. Stefanovic, S. Rudchenko, T. E. Mitchell, and M. N. Stojanovic, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja058394n 128, 12693 (2006). (Pubitemid 44527745)
11. K. Lund, Nature (London) NATUAS 0028-0836 10.1038/nature09012 465, 206 (2010).
12. M. N. Stojanovic and D. Stefanovic, J. Comput. Theor. Nanosci. 1546-1955 10.1166/jctn.2011.1707 3, 434 (2011).
13. T. Antal, P. L. Krapivsky, and K. Mallick, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2007/08/P08027 (2007) P08027.
14. T. Antal and P. L. Krapivsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.021121 76, 021121 (2007). (Pubitemid 47330022)
15. L. Samii, H. Linke, M. J. Zuckermann, and N. R. Forde, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.021106 81, 021106 (2010).
16. L. Samii, G. A. Blab, E. H. C. Bromley, H. Linke, P. M. G. Curmi, M. J. Zuckermann, and N. R. Forde, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84. 031111 84, 031111 (2011).
17. O. Semenov, M. J. Olah, and D. Stefanovic, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.021117 83, 021117 (2011).
18. O. Semenov, M. J. Olah, and D. Stefanovic, in DNA 17: Proceedings of The Seventeenth International Meeting on DNA Computing and Molecular Programming, Lecture Notes in Computer Science Vol. 6397 (Springer-Verlag, Berlin, 2011), pp. 204-216.
19. I. Ben-Ari, K. Boushaba, A. Matzavinos, and A. Roitershtein, Bull. Math. Biol. BMTBAP 0092-8240 10.1007/s11538-010-9600-x 73, 1932 (2011).
20. C. Gallesco, S. Müller, and S. Popov, ESAIM: Probab. Stat. 1292-8100 10.1051/ps/2010008 15, 390 (2011).
21. C. Gallesco, S. Müller, S. Popov, and M. Vachkovskaia, ALEA-Latin American Journal of Probability and Mathematical Statistics 8, 129 (2011).
22. R. Juhász, J. Stat. Mech. 1742-5468 10.1088/1742-5468/2007/11/ P11015 (2007) P11015.
23. Mathematical models animal locomotion are reviewed by P. Holmes, R. J. Full, D. Koditschek, and J. Guckenheimer, SIAM Rev. SIREAD 0036-1445 10.1137/S0036144504445133 48, 207 (2006). (Pubitemid 43842340)
24. F. van Wijland, S. Caser, and H. J. Hilhorst, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/2/017 30, 507 (1997). (Pubitemid 127017223)
25. P. L. Krapivsky, S. Redner, and E. Ben-Naim, A Kinetic View of Statistical Physics (Cambridge University Press, Cambridge, 2010).
26. R. K. Guy, Unsolved Problems in Number Theory (Springer-Verlag, New York, 1994).
27. S. Saffarian, I. E. Collier, B. L. Marmer, E. L. Elson, and G. Goldberg, Science SCIEAS 0036-8075 10.1126/science.1099179 306, 108 (2004). (Pubitemid 39451949)
28. T. Antal and P. L. Krapivsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.046104 72, 046104 (2005). (Pubitemid 43273134)
29. A. Yu. Morozov, E. Pronina, A. B. Kolomeisky, and M. N. Artyomov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.031910 75, 031910 (2007). (Pubitemid 46474071)
30. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland, MA, 2001).
31. A. Parmeggiani, T. Franosch, and E. Frey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.086601 90, 086601 (2003).
32. M. R. Evans, T. Hanney, and Y. Kafri, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.066124 70, 066124 (2004). (Pubitemid 40429811)
33. S. Klumpp, M. J. I. Müller, and R. Lipowsky, in Traffic and Granular Flow '05, edited by, A. Schadschneider, (Springer-Verlag, Berlin, 2007), pp. 251-261.
34. S. Klumpp and R. Lipowsky, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0507363102 102, 17284 (2005). (Pubitemid 41740858)
35. M. J. I. Müller, S. Klumpp, and R. Lipowsky, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0706825105 105, 4609 (2008). (Pubitemid 351753794)
36. P. Greulich, A. Garai, K. Nishinari, A. Schadschneider, and D. Chowdhury, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.041905 75, 041905 (2007). (Pubitemid 46559788)
37. M. Mobilia, T. Reichenbach, H. Hinsch, T. Franosch, and E. Frey, Banach Cent. Publ. 10.4064/bc80-0-6 80, 101 (2008).
38. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam, 2003).