The Mechanism of Fractal-Like Structure Formation by Bacterial Populations

Journal of Biological Physics

Volumn 25, Issue 2-3, 1999, Pages 165-176

  Tsyganov, M A ^a   Kresteva, I B ^a   Aslanidi, G V ^a   Aslanidi, K B ^a   Deev, A A ^a   Ivanitsky, G R ^a  

^a INSTITUTE OF THEORETICAL AND EXPERIMENTAL BIOPHYSICS   (Russian Federation)

Author keywords

Bacterial population; Dynamics of spatial patterns; Escherichia coli; Fractal like growth; Mathematical model; Structure formation

Indexed keywords

BACTERIA (MICROORGANISMS); ESCHERICHIA COLI;

EID: 0040857075     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005153720027     Document Type: Article

References (23)

1. Adler, J.: Effect of amino acids and oxygen on chemotaxis in E. coli, J. Bacteriol. 92 (1966), 121-129.
2. Adler, J.: Chemotaxis in bacteria, Science 153 (1966), 708-716.
3. Keller, E.F. and Segel, L.A.: Model of chemotaxis, J. Theor. Biol. 30 (1971), 225-234.
4. Keller, E.F. and Segel, L.A.: Traveling bands of chemotactic bacteria, J. Theor. Biol. 30 (1971), 225-234.
5. Berg, H.C. and Brown, D.A.: Chemotaxis in Escherichia coli analysed by three dimensional tracking, Nature 239 (1972), 500-504.
6. Block, S. and Berg, H.C.: Successive incorporation of force-generating units in the bacterial rotary motor, Nature 309 (1984), 470-472.
7. Segall, J.E., Block, S. and Berg, H.C.: Temporal comparisons in bacterial chemotaxis, Proc. Natl. Acad. Sci. U.S.A. 83 (1986), 8987-8991.
8. Murray, J.: Mathematical Biology, Springer Verlag, Berlin, 1989.
9. Agladze, K., Budrene, E., Ivanitsy, G., Krinsky, V., Shakhbazyan, V. and Tsyganov, M.: Wave mechanisms of pattern formation in microbial populations, Proc. R. Soc. Lond. B 253 (1993), 131-135.
10. Ivanitsky, G.R., Medvinsky, A.B. and Tsyganov, M.A.: From disorder to order as applied to the movement of micro-organisms, Usp. Fiz. Nauk 161 (1991), 13-71.
11. Brenner, M.P., Levitov, L.S. and Budrene, E.O.: Physical mechanisms for chemotactic pattern formation by bacteria, Biophys. J. 74 (1998), 1677-1693.
12. Budrene, E.O. and Berg, H.C.: Complex patterns formed by motile cells of Escherichia coli, Nature 349 (1991), 630-633.
13. Budrene, E.O. and Berg, H.: Dynamics of formation of symmetrical patterns by chemotactic bacteria, Nature 376 (1995), 49-53.
14. Woodward, D.E., Tyson, R., Myerscough, M., Murray, J., Budrene, E. and Berg, H.: Spatio-temporal patterns generated by salmonella, Biophys. J. 68 (1995), 2181-2189.
15. Ben-Jacob, E., Schochet, O., Tenenbaum, a., Cohen, I., Czirok, A. and Vicsek, T.: Generic modelling of cooperative growth patterns in bacterial colonies, Nature 368 (1994), 46-49.
16. Ben-Jacob, E., Shmueli, H., Schochet, O. and Tenenbaum, A.: Adaptive self-organization during growth of bacterial colonies, Phisica A 187 (1992), 378-424.
17. Ben-Jacob, E.: From snowflake formation to growth of bacterial colonies, Contemporary Physics 34(5) (1993), 247-273.
18. Ben-Jacob, E., Tenenbaum, A., Schochet, O. and Avidan, O.: Holotransformations of bacterial colonies and genome cybernetics, Phisica A 202 (1994), 1-47.
19. Kresteva, I.B., Tsyganov, M.A., Aslanidi, G.V., Medvinsky, A.B. and Ivanitsky, G.R.: The fractal self-organization in bacterial populations of E. coli: Experimental research, Dokl. Akad. Nauk 351(3) (1996), 406-409.
20. Tsyganov, M.A., Kresteva, I.E., Lysochenko, I.V., Medvinsky, A.B. and Ivanitsky, G.R.: The farctal self-organization in bacterial populations of E. coli: Computer modelling, Dokl. Akad. Nauk 351(4) (1996), 561-564.
21. Ivanitsky, G.R., Medvinsky, A.B. and Tsyganov, M.A.: From cell population wave dynamics to neuro-informatics, Usp. Fiz. Nauk 164(10) (1994), 1041-1072.
22. Medvinsky, A.B., Tsyganov, M.A., Kutyshenko, V.P., Shakhbazian, V.Yu., Kresteva, I.B. and Ivanitsky, G.R.: Instability of waves formed by motile bacteria, FEMS Microbiol. Lett. 112 (1993), 287-290.
23. Medvinsky, A.B., Tsyganov, M.A., Karpov, V.A., Kresteva, I.B., Shakhbazian, V.Yu. and Ivanitsky, G.R.: Bacterial population autowave pattern: Spontaneous symmetry bursting, Physica D 79 (1994), 299-305.