Swarming patterns in Microorganisms: Some new modeling results

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 5073-5077

  Levine, Herbert ^a   Ben Jacob, Eshel ^b   Cohen, Inon ^b   Rappel, Wouter Jan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE SYSTEMS; CELLS; DIFFUSION; MATHEMATICAL MODELS;

DIFFUSION EQUATION; SURFACE-RESIDENT BACTERIA;

MICROORGANISMS;

EID: 39549120230     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377435     Document Type: Conference Paper

References (26)

1. Animal groups in three dimensions, Ed. by Julia K. Parrish, W. Hamner (Cambridge University Press, 1997).
2. E. Bonabeau, M. Dorigo and M. Theraulaz, Swarm Intelligence: From Natural to Artificial Systems Oxford University Press (1999)
3. E. Ben-Jacob, I. Cohen, and H. Levine, Adv. Phys. 49, 395 (2000).
4. D. L. Blair, T. Neicu and A. Kudrolli, Phys. Rev. E 67 031303 (2003).
5. E. Ben-Jacob, I. Cohen and D. L. Gutnick, Ann. Rev. Microbiol. 52, 779 (1998).
6. R. H. Kessin, Dictyostelium - Evolution, cell biology, and the development of multicellularity, (Cambridge, UK: Cambridge Univ. Press 2001).
7. E. Ben-Jacob et al., Phys. Rev. Lett. 75, 2899 (1995).
8. A. Nicol, W-J. Rappel, H. Levine and W. F Loomis, J Cell Sci. 112, 3923 (1999).
9. E. Ben-Jacob and H. Levine, J. Royal Soc. Interface 3, 197 (2006).
10. E. Ben-jacob et al, Trends in Microbiology 12 (8) 366-372 (2004).
11. E. Ben-Jacob, E. et al., Nature 368, 46-49 (1994).
12. E. Ben-Jacob, I. Cohen, I. Golding, and Y Kozlovsky, Mathematical Models for Biological Pattern Formation, IMA volumes, Frontiers in Applied Mathematics Series (Springer-Verlag, New-York, 2000).
13. Y. Kozlovsky, I. Cohen, I. Golding, and E. Ben-Jacob, Phys. Rev. E 59, 7025 (1999).
14. R. Kam and H. Levine, Phys. Rev E 52, 4553-56 (1995).
15. W.-J. Rappel, A. Nicol, A. Sarkissian, H. Levine and W. F Loomis, Phys. Rev. Lett. 83,1247 (1999).
16. J.K. Parrish and L. Edelstein-Keshet, Science 284, 99 (1999).
17. E. Ben-Jacob, I. Cohen, A. Czirok, T. Vicsek and D.L. Gutnick. Physica A 238, 181 (1997).
18. H. Levine, I. Cohen and W.-J. Rappel, Phys. Rev. E 63, 017101 (2001).
19. W Ebeling, F Schweitzer and B. Tilch, Biosystems 49, 12-29 (1999).
20. U. Erdmann, W. Ebeling and A. S. Mikhailov, Phys. Rev. E 71, 051904 (2005).
21. T. Vicsek et al. Phys. Rev. Lett. 75, 1226 (1995).
22. J. Toner and Y. Tu, Phys. Rev. Lett. 75, 4326 (1995);
23. J. Toner and Y. Tu, Phys. Rev. E 58, 4828 (1997).
24. S. Kitsunezaki, J. Phys. Soc. Jpn 66, 1544 (1997).
25. I. Golding, Y Kozlovsky, I. Cohen, and E. Ben-Jacob, Physica A 260, 510 (1998).
26. In order to reduce the implicit anisotropy of the scheme, we use tridiagonal lattice and multiply the bacterial diffusion coefficients by a quenched noise with mean 1. The quenched noise represent inhomogeneities of the agar surface.