Myopic random walkers and exclusion processes: Single and multispecies

Physica A: Statistical Mechanics and its Applications

Volumn 390, Issue 21-22, 2011, Pages 3742-3753

  Landman, Kerry A ^a   Fernando, Anthony E ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Cell motility; Exclusion process; Multispecies; Myopic random walk; Nonlinear diffusion

Indexed keywords

AUTONOMOUS AGENTS; CELL CULTURE; CELL PROLIFERATION; CELLS; COMPUTATIONAL METHODS; CONTINUUM MECHANICS; DIFFUSION; PARTIAL DIFFERENTIAL EQUATIONS; POPULATION STATISTICS; RANDOM PROCESSES;

CELL MOTILITY; EXCLUSION PROCESS; MULTI-SPECIES; NONLINEAR DIFFUSION; RANDOM WALK;

NONLINEAR EQUATIONS;

EID: 80054905474     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2011.06.034     Document Type: Article

References (29)

1. T.M. Liggett Stochastic Interacting Systems: Contact, Voter and Exclusion Processes 1999 Springer-Verlag Berlin
2. F. Spitzer Adv. Math. 5 1970 256 290
3. A. Schadschneider Physica A 313 2002 153 187
4. A. John, A. Schadschneider, D. Chowdhury, and K. Nishinari J. Theor. Biol. 231 2004 279 285
5. L.M. Sander, and T.S. Deisboeck Phys. Rev. E 66 2002 051901
6. M.J. Simpson, A. Merrifield, K.A. Landman, and B.D. Hughes Phys. Rev. E 76 2007 021918
7. M.J. Simpson, K.A. Landman, and B.D. Hughes Bull. Math. Biol. 71 2009 781 799
8. M.J. Simpson, K.A. Landman, and B.D. Hughes Phys. Rev. E 79 2009 031920
9. M.J. Simpson, K.A. Landman, and B.D. Hughes Physica A 388 2009 399 406
10. C. Deroulers, M. Aubert, M. Badoual, and B. Grammaticos Phys. Rev. E 79 2009 031917
11. D. Fanelli, and A.J. McKane Phys. Rev. E 82 2010 021113
12. A.E. Fernando, K.A. Landman, and M.J. Simpson Phys. Rev. E 81 2010 011903
13. K.J. Painter Bull. Math. Biol. 71 2009 1117 1147
14. M.J. Simpson, K.A. Landman, B.D. Hughes, and A.E. Fernando Physica A 389 2010 1412 1424
15. T.P. Witelski Appl. Math. Lett. 8 1995 27 32
16. K.A. Landman, and L.R. White Phys. Fluids 23 2011 012004
17. B.D. Hughes Random Walks and Random Environments, vol. 2 1995 Oxford University Press Oxford, UK
18. C.D. Mitescu, and J. Roussenq G. Deutscher, R. Zallen, J. Adler, Percolation Processes and Structures, Adam Hilger, Bristol Ann. Israel Phys. Soc. 5 1983 81 100
19. I. Majid, D. Ben-Avraham, S. Havlin, and H.E. Stanley Phys. Rev. B 30 1984 1626 1628
20. D. Stauffer, and A. Aharony Introduction to Percolation Theory 1991 Taylor and Francis London
21. D. Chowdhury, A. Schadschneider, and K. Nishinari Phys. Life Rev. 2 2005 318 352
22. B.D. Hughes Random Walks and Random Environments, vol. 1 1995 Oxford University Press Oxford, UK
23. E.A. Codling, M.J. Plank, and S. Benhamou J. R. Soc. Interface 5 2008 813 834
24. R.J. Leveque Numerical Methods for Conservation Laws 1992 Birkhauser Basel
25. H.M. Young, A.J. Bergner, R.B. Anderson, H. Enomoto, J. Milbrandt, D.F. Newgreen, and P.M. Whitington Dev. Biol. 270 2004 455 473
26. N.R. Druckenbrod, and M.L. Epstein Dev. Biol. 287 2005 125 133
27. P.M. Kulesa, C.M. Bailey, J.C. Kasemeier-Kulesa, and R. McLennan Dev. Biol. 344 2010 543 554
28. M.J. Simpson, D.C. Zhang, M. Mariani, K.A. Landman, and D.F. Newgreen Dev. Biol. 302 2007 553 568
29. P.M. Kulesa, J.M. Teddy, D.A. Stark, S.E. Smith, and R. McLennan Dev. Biol. 316 2008 275 287