A minimal mechanism for bacterial pattern formation

Proceedings of the Royal Society B: Biological Sciences

Volumn 266, Issue 1416, 1999, Pages 299-304

  Tyson, R ^a   Lubkin, S R ^b   Murray, J D ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Bacterial aggregates; Bacterial patterns; Chemotaxis; Mathematical modelling; Spots; Stripes

Indexed keywords

TRICARBOXYLIC ACID;

ARTICLE; BACTERIAL GROWTH; CELL DENSITY; CITRIC ACID CYCLE; COLONY FORMATION; CULTURE MEDIUM; MATHEMATICAL MODEL; NONHUMAN; PRIORITY JOURNAL; SALMONELLA TYPHIMURIUM;

ESCHERICHIA COLI; SALMONELLA TYPHIMURIUM;

EID: 0033531342     PISSN: 09628452     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rspb.1999.0637     Document Type: Article

References (20)

1. Ben-Jacob, E., Cohen, I., Schochet, O., Aranson, I., Levine, H. & Tsimring, L. 1995 Complex bacterial patterns. Nature 373, 566-567.
2. Berg, H. C. 1983 Random walks in biology. Princeton University Press.
3. Berg, H. C. & Turner, L. 1990 Chemotaxis of bacteria in glass capillary arrays. Biophys. J. 58, 919-930.
4. Brenner, M. P., Levitov, L. S. & Budrene, E. O. 1998 Physical mechanisms for chemotactic pattern formation by bacteria. Biophys. J. (In the press.)
5. Bruno, W. J. 1992 Patterns that grow. CNLS Newslett. 82, 1-10.
6. Budrene, E. O. & Berg, H. C. 1991 Complex patterns formed by motile cells of Escherichia coli. Nature 349, 630-633.
7. Budrene, E. O. & Berg, H. C. 1995 Dynamics of formation of symmetrical patterns by chemotactic bacteria. Nature 376, 49-53.
8. Dahlquist, F. W., Lovely, P. & Koshland, D. E. Jr 1972 Qualitative analysis of bacterial migration in chemotaxis. Nature, New Biol. 236, 120-123.
9. Davidson, F. A., Sleeman, B. D., Rayner, A. D. M., Crawfore, J. W. & Ritz, K. 1996 Context-dependent macroscopic patterns in growing and interacting mycelial networks. Proc. R. Soc. Lond. B 263, 873-880.
10. Ford, R. M. & Lauffenberger, D. A. 1991 Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients. Bull. Math. Biol. 53, 721-749.
11. Kawasaki, K., Mochizuki, A., Matsushita, M., Umeda, T. & Shigesada, N. 1997 Modeling spatio-temporal patterns gener-aged by Bacillus subtilis. J. Theor. Biol. 188, 177-185.
12. Keller, E. F. & Segel, L. A. 1971a Model for chemotaxis. J. Theor. Biol. 30, 225-234.
13. Keller, E. F. & Segel, L. A. 1971b Travelling bands of chemotactic bacteria: a theoretical analysis. J. Theor. Biol. 30, 235-248.
14. Lapidus, R. & Schiller, R. 1976 Model for the chemotactic response of a bacterial population. Biophys. J. 16, 779-789.
15. Phillips, B. R., Quinn, J. A. & Goldfine, H. 1994 Random motility of swimming bacteria: single cells compared to cell-populations. A. I. Ch. E. J. 40, 334-348.
16. Tsimring, L., Levine, H., Aranson, I., Ben-Jacob, E., Cohen, I. & Schochet, O. 1995 Aggregation patterns in stressed bacteria. Phys. Rev. Lett. 75, 1859-1862.
17. Tyson, R., Lubkin, S. R. & Murray, J. D. 1998a Model and analysis of chemotactic bacterial patterns in liquid medium. J. Math. Biol. (In the press.)
18. Tyson, R., Stern, L. G. & LeVeque, R. J. 1998b Fractional step methods applied to a chemotaxis model. J. Math. Biol. (In the press.)
19. Tyson, R., Lubkin, S. R. & Murray J. D. 1999 Analysis of chemotactic Salmonella typhimurium patterns in a semi-solid medium. SIAM J. Appl. Math. (Submitted.)
20. Woodward, D. E., Tyson, R., Myerscough, M. R., Murray, J. D., Budrene, E. O. & Berg, H. C. 1995 Spatio-temporal patterns generated by Salmonella typhimurium. Biophys. J. 68, 2181-2189.