Arrested phase separation in reproducing bacteria creates a generic route to pattern formation

Proceedings of the National Academy of Sciences of the United States of America

Volumn 107, Issue 26, 2010, Pages 11715-11720

  Cates, M E ^a   Marenduzzo, D ^a   Pagonabarraga, I ^b   Tailleur, J ^a  

^a UNIVERSITY OF EDINBURGH   (United Kingdom)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BACTERIAL GROWTH; BACTERIUM COLONY; CELL CYCLE ARREST; CELL DEATH; CELL DIVISION; CHEMOTAXIS; ESCHERICHIA COLI; MATHEMATICAL MODEL; NONHUMAN; PHASE SEPARATION; POPULATION DENSITY; PRIORITY JOURNAL; SALMONELLA TYPHIMURIUM;

BACTERIAL ADHESION; BACTERIAL PHYSIOLOGICAL PHENOMENA; BIOPHYSICAL PHENOMENA; CHEMOTAXIS; ESCHERICHIA COLI; MODELS, BIOLOGICAL; SALMONELLA TYPHIMURIUM;

BACTERIA (MICROORGANISMS);

EID: 77955399682     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1001994107     Document Type: Article

References (31)

1. Shapiro JA (1995) The significance of bacterial colony patterns. BioEssays 17:597-607.
2. Harshey RM (2003) Bacterial motility on a surface: Many ways to a common goal. Annu Rev Microbiol 57:249-273.
3. Budrene EO, Berg HC (1991) Complex patterns formed by motile cells of Escherichia coli. Nature 349:630-633.
4. Budrene EO, Berg HC (1995) Dynamics of formation of symmetrical patterns by chemotactic bacteria. Nature 376:49-53.
5. Woodward DE, et al. (1995) Spatio-temporal patterns generated by Salmonella typhimurium. Biophys J 68:2181-2189.
6. Murray JD (2003) Mathematical Biology, (Springer-Verlag, New York), Vol 2.
7. Ben-Jacob E, Cohen I, Levine H (2000) Cooperative self-organization of microorganisms. Adv Phys 49:395-554.
8. Kawasaki K, et al. (1997) Modeling spatio-temporal patterns generated by Bacillus subtilis. J Theor Biol 188:177-185. (Pubitemid 27464187)
9. Tyson R, Lubkin SR, Murray JD (1999) A minimal mechanism for bacterial pattern formation. Proc R Soc London B 266:299-304. (Pubitemid 29065214)
10. Brenner MP, Levitov LS, Budrene EO (1998) Physical mechanisms for chemotactic pattern formation by bacteria. Biophys J 74:1677-1693. (Pubitemid 28157908)
11. Espiov SE, Shapiro JA (1998) Kinetic model of Proteus mirabilis swarm colony. J Math Biol 36:249-268.
12. Toner J, Tu YH, Ramaswamy S (2005) Hydrodynamics and phases of flocks. Ann Phys (NY) 318:170-244.
13. Ramaswamy S, Simha RA, Toner J (2003) Active nematics on a substrate: Giant number fluctuations and long-time tails. Europhys Lett 62:196-202. (Pubitemid 36507898)
14. Narayan V, Ramaswamy S, Menon N (2007) Long-lived giant number fluctuations in a swarming granular nematic. Science 317:105-108. (Pubitemid 47056464)
15. Baskaran A, Marchetti MC (2009) Statistical mechanics and hydrodynamics of bacterial suspensions. Proc Natl Acad Sci USA 106:15567-15572.
16. Cates ME, Fielding SM, Marenduzzo D, Orlandini E, Yeomans JM (2008) Shearing active gels close to the isotropic-nematic transition. Phys Rev Lett 101:068102.
17. Tailleur J, Cates ME (2008) Statistical mechanics of interacting run-and-tumble bacteria. Phys Rev Lett 100:218103. (Pubitemid 351777220)
18. Galajda P, Keymer J, Chaikin P, Austin R (2008) A wall of funnels concentrates swimming bacteria. J Bacteriol 189:8704-8707. (Pubitemid 350210041)
19. Galajda P, et al. (2008) Funnel ratchets in biology at low Reynolds number: Choanotaxis. J Mod Optic 55:3413-3422.
20. Tailleur J, Cates ME (2009) Sedimentation, trapping, and rectification of dilute bacteria. Europhys Lett 86:60002.
21. Angelani L, Di Leonardo R, Ruocco G (2009) Self-starting micromotors in a bacterial bath. Phys Rev Lett 102:048104.
22. Chaikin PM, Lubensky TC (1995) Principles of Condensed Matter Physics (Cambridge Univ Press, Cambridge).
23. Schnitzer MJ (1993) Theory of continuum random walks and application to chemotaxis. Phys Rev E 48:2553-2568.
24. Berg HC (2003) E. Coli in Motion (Springer, New York).
25. Kafri Y, da Silveira RA (2008) Steady-state chemotaxis in Escherichia coli. Phys Rev Lett 100:238101.
26. Dickman R (1994) Numerical study of a field theory for directed percolation. Phys Rev E 50:4404-4409.
27. Dornic I, Chate H, Munoz MA (2005) Integration of Langevin equations with multiplicative noise and the viability of field theories for absorbing phase transitions. Phys Rev Lett 94:100601.
28. Cates M.E., Vollmer J, Wagner A, Vollmer D (2002) Phase separation in binary fluid mixtures with continuously ramped temperature. Phil Trans R Soc A 361:793-804.
29. Becherer P, Morozov AN, van Saarloos W (2009) Probing a subcritical instability with an amplitude expansion: An exploration of how far one can get. Physica D 238:1827-1840.
30. Mittal N, Budrene EO, Brenner MP, van Oudernaarden A (2003) Motility of Escherichia coli in clusters formed by chemotactic aggregation. Proc Natl Acad Sci USA 100:13259-13263. (Pubitemid 37444729)
31. Cerbino R, Trappe V (2008) Diffierential dynamic microscopy: Probing wave vector dependent dynamics with a microscope. Phys Rev Lett 100:188102. (Pubitemid 351654638)