Directional persistence of chemotactic bacteria in a traveling concentration wave

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

Volumn 108, Issue 39, 2011, Pages 16235-16240

  Saragosti, J ^a,d   Calvez, V ^a   Bournaveas, N ^b   Perthame, B ^c   Buguin, A ^a   Silberzan, P ^a  

^a CNRS   (France)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c INSTITUT UNIVERSITAIRE DE FRANCE   (France)

^d ROCKEFELLER UNIVERSITY   (United States)

Author keywords

Bacterial chemotaxis; Collective behavior; Kinetic theory; Transport equation

Indexed keywords

CHEMOATTRACTANT;

ARTICLE; BACTERIAL FLAGELLUM; BACTERIAL KINETICS; BACTERIAL STRAIN; BACTERIUM; BACTERIUM CULTURE; CHEMOREACTIVITY; CHEMOTACTIC BACTERIA; ESCHERICHIA COLI; MICROCIRCULATION; MICROFLUIDIC ANALYSIS; MIGRATION; NONHUMAN; PRIORITY JOURNAL;

CHEMOTAXIS; DIMETHYLPOLYSILOXANES; ESCHERICHIA COLI;

BACTERIA (MICROORGANISMS); ESCHERICHIA COLI;

EID: 80053639689     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1101996108     Document Type: Article

References (40)

1. Adler J (1966) Chemotaxis in bacteria. Science 153:708-716.
2. Park S, et al. (2003) Influence of topology on bacterial social interaction. Proc Nat'l Acad Sci USA 100:13910-13915. (Pubitemid 37499165)
3. Salman H, Zilman A, Loverdo C, Jeffroy M, Libchaber A (2006) Solitary modes of bacterial culture in a temperature gradient. Phys Rev Lett 97:5-8.
4. Lambert G, Liao D, Austin RH (2010) Collective escape of chemotactic swimmers through microscopic ratchets. Phys Rev Lett 104:1-4.
5. Berg HC, Brown DA (1972) Chemotaxis in Escherichia coli analyzed by three-dimensional tracking. Nature 239:500-504.
6. Berg HC (2004) E. coli in Motion (Springer-Verlag, New York).
7. Block SM, Segall JE, Berg HC (1983) Adaptation kinetics in bacterial chemotaxis. J Bacteriol 154:312-323. (Pubitemid 13115450)
8. Keller EF, Segel LA (1970) Initiation of slime mold aggregation viewed as an instability. J Theor Biol 26:399-415.
9. Brenner MP, Levitov LS, Budrene EO (1998) Physical mechanisms for chemotactic pattern formation by bacteria. Biophys J 74:1677-1693. (Pubitemid 28157908)
10. Perthame B (2007) Transport Equations in Biology (Birkhäuser Verlag, Basel).
11. Mittal N, Budrene EO, Brenner MP, Van Oudenaarden A (2003) Motility of Escherichia coli cells in clusters formed by chemotactic aggregation. Proc Nat'l Acad Sci USA 100:13259-13263. (Pubitemid 37444729)
12. Tindall MJ, Maini PK, Porter SL, Armitage JP (2008) Overview of mathematical approaches used to model bacterial chemotaxis II: bacterial populations. B Math Biol 70:1570-1607.
13. Salman H, Libchaber A (2007) A concentration-dependent switch in the bacterial response to temperature. Nat Cell Biol 9:1098-1100. (Pubitemid 47338148)
14. Ahmed T, Stocker R (2008) Experimental verification of the behavioral foundation of bacterial transport parameters using microfluidics. Biophys J 95:4481-4493.
15. Min TL, et al. (2009) High-resolution, long-term characterization of bacterial motility using optical tweezers. Nat Methods 6:831-835.
16. Butler JP, Reed JA (1987) Stereology of dihedral angles I: first two moments. SIAM J Appl Math 47:670-677.
17. Perrin J (1910) Mouvement brownien et molécules [Brownian motion and molecules]. Journal de Physique Théorique et Appliquée 9:5-39 French.
18. Maeda K, Imae Y, Shioi JI, Oosawa F (1976) Effect of temperature on motility and chemotaxis of Escherichia coli. J Bacteriol 127:1039-1046.
19. Alon U, et al. (1998) Response regulator output in bacterial chemotaxis. EMBO J 17:4238-4248. (Pubitemid 28362614)
20. Sokolov A, Aranson I, Kessler JO, Goldstein RE (2007) Concentration dependence of the collective dynamics of swimming bacteria. Phys Rev Lett 98:1-4.
21. Wu XL, Libchaber A (2000) Particle diffusion in a quasi-two-dimensional bacterial bath. Phys Rev Lett 84:3017-3020.
22. Vladimirov N, Lebiedz D, Sourjik V (2010) Predicted auxiliary navigation mechanism of peritrichously flagellated chemotactic bacteria. PLoS Comput Biol 6:e1000717.
23. Blackburn N (1998) Microscale nutrient patches in planktonic habitats shown by chemotactic bacteria. Science 282:2254-2256.
24. Keller EF, Segel LA (1971) Traveling bands of chemotactic bacteria: a theoretical analysis. J Theor Biol 30:235-248.
25. Alt W (1980) Biased random walk models for chemotaxis and related diffusion approximations. J Math Biol 9:147-177.
26. Othmer HG, Dunbar SR, AltW(1988) Models of dispersal in biological systems. J Math Biol 26:263-298.
27. Saragosti J, et al. (2010) Mathematical description of bacterial traveling pulses. PLoS Comput Biol 6:e1000890.
28. Kalinin YV, Jiang L, Tu Y, Wu M (2009) Logarithmic sensing in Escherichia coli bacterial chemotaxis. Biophys J 96:2439-2448.
29. Turner L, Ryu WS, Berg HC (2000) Real-time imaging of fluorescent flagellar filaments. J Bacteriol 182:2793-2801. (Pubitemid 30246910)
30. Murray JD (2003) Mathematical Biology (Springer-Verlag, Berlin).
31. Erban R, Othmer HG (2004) From individual to collective behavior in bacterial chemotaxis. SIAM J Appl Math 65:361-391.
32. Xue C, Hwang HJ, Painter KJ, Erban R (2010) Travelling waves in hyperbolic chemotaxis equations. B Math Biol 72:24-29.
33. Parkinson JS, Houts SE (1982) Isolation and behavior of Escherichia coli deletion mutants lacking chemotaxis functions. J Bacteriol 151:106-113. (Pubitemid 12022312)
34. Eisenbach M, et al. (1990) Pausing, switching and speed fluctuation of the bacterial flagellar motor and their relation to motility and chemotaxis. J Mol Biol 211:551-563. (Pubitemid 20085922)
35. Da Re S, Le Quéré B, Ghigo J-M, Beloin C (2007) Tight modulation of Escherichia coli bacterial biofilm formation through controlled expression of adhesion factors. Appl Environ Microb 73:3391-3403. (Pubitemid 46834991)
36. OpenWetWare contributors (2010) OpenWetWare, http://openwetware.org.
37. Xia Y, Whitesides GM (1998) Soft lithography. Annu Rev Mater Sci 28:153-184. (Pubitemid 128631417)
38. Douarche C, Buguin A, Salman H, Libchaber A (2009) E. coli and oxygen: a motility transition. Phys Rev Lett 102:2-5.
39. Rasband WS (2007) Image J (National Institutes of Health, Bethesda), Available at http://rsb.info.nih.gov/ij/.
40. Sbalzarini IF, Koumoutsakos P (2005) Feature point tracking and trajectory analysis for video imaging in cell biology. J Struct Biol 151:182-195. (Pubitemid 41074826)