On the origin and characteristics of noise-induced Lévy walks of E. coli

PLoS ONE

Volumn 6, Issue 4, 2011, Pages

  Matthäus, Franziska ^a   Mommer, Mario S ^a   Curk, Tine ^b,c   Dobnikar, Jure ^c,d  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b UNIVERSITY OF MARIBOR   (Slovenia)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^d JO EF STEFAN INSTITUTE   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

BACTERIAL ENZYME;

ARTICLE; CHEMOTAXIS; ESCHERICHIA COLI; NOISE; NONHUMAN; PROBABILITY; SIGNAL TRANSDUCTION; SIMULATION; STEADY STATE; STOCHASTIC MODEL; BIOLOGICAL MODEL; COMPUTER SIMULATION; CYTOLOGY; DIFFUSION; KINETICS; ROTATION;

ANIMALIA;

CHEMOTAXIS; COMPUTER SIMULATION; DIFFUSION; ESCHERICHIA COLI; KINETICS; MODELS, BIOLOGICAL; ROTATION;

EID: 79954497713     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0018623     Document Type: Article

References (28)

1. Berg HC, Brown DA, (1972) Chemotaxis in Escherichia coli analysed by three-dimensional tracking. Nature 239 (5374): 500-504.
2. Korobkova E, Emonet T, Vilar JMG, Shimizu TS, Cluzel P, (2004) From molecular noise to behavioural variability in a single bacterium. Nature 428: 574-578.
3. Matthäus F, Jagodić M, Dobnikar J, (2009) E. coli superdiffusion and chemotaxis- search strategy, precision and motility. J Biophys 97 (4): 946-957.
4. Tu Y, Grinstein G, (2005) How white nose generates power-law switching in bacterial flagellar motors. Phys Rev Lett 94: 208101.
5. Klafter J, White BS, Levandowsky M, (1990) Microzooplankton feeding behavior and the Lévy walks in "Biological Motion" In: Alt W, Hoffman G, editors. Lecture notes in Biomathematics, Springer, Berlin.
6. Sims DW, Southall EJ, Humphries NE, Hays GC, Bradshaw CJA, et al. (2008) Scaling laws of marine predator search behaviour. Nature 451: 1098-1102.
7. Ramos-Fernández G, Mateos JL, Miramontes O, Cocho G, Larralde H, et al. (2004) Lévy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi). Behavioral Ecology and Sociobiology 55: 223-230.
8. Brockmann D, Hufnagel L, Geisel T, (2005) The scaling laws of human travel. Nature 439: 462-465.
9. Viswanathan GM, Afanasyev V, Buldyrev SV, Murphy EJ, Princeet PA, et al. (1996) Lévy flight search patterns of wandering albatrosses. Nature 381: 413-415.
10. Edwards AM, Phillips RA, Watkins NW, Freeman MP, Murphy EJ, et al. (2007) Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer. Nature 449: 1044-1048.
11. Sims DW, Righton D, Pitchford JW, (2007) Minimizing errors in identifying Lévy flight behavior of organisms. J Animal Ecology 76: 222-229.
12. Bartumeus F, Catalan J, Fulco UL, Lyra ML, Viswanathan GM, (2002) Optimizing the encounter rate in biological interactions: Lévy versus Brownian strategies. Phys Rev Lett 88 (9): art. no. 097901.
13. Benhamou S, (2007) How many animals really do the Lévy walk? Ecology 88 (8): 1962-1969.
14. Reynolds A, (2008) Deterministic walks with inverse-square power-law scaling are an emergent property of predators that use chemotaxis to locate randomly distributed prey. Phys Rev E 78: art. no. 011906.
15. Wu M, Roberts JW, Kim S, Koch DL, DeLisa MP, (2006) Collective bacterial dynamics revealed using a three-dimensional population-scale defocused particle tracking technique. Appl Env Microbiol 72 (7): 4987-4994.
16. Le Novère N, Shimizu TS, (2001) StochSim: modelling of stochastic biomolecular processes. Bioinformatics 6 (6): 575-576.
17. Kollmann M, Lø vdok L, Bartholomé K, Timmer J, Sourjik V, (2005) Design principles of a bacterial signalling network. Nature 438: 504-507.
18. Beylkin G, Monzón L, (2005) On approximation of functions by exponential sums. Appl Comput Harmon Anal 19: 17-48.
19. Mommer MS, Lebiedz D, (2009) Modeling subdiffusion using reaction diffusion systems. SIAM Journal on Applied Mathematics 70 (1): 112-132.
20. Park H, Pontius W, Guet CC, Marko JF, Emonet T, et al. (2010) Interdependence of behavioural variability and response to small stimuli in bacteria. Nature 468: 819-823.
21. Levin M, (2003) Noise in gene expression as the source of non-genetic individuality in the chemotactic response of Escherichia coli. FEBS Letters 550: 135-138.
22. Enver T, Heyworth CM, Dexter TM, (1998) Do stem cells play dice? Blood 92 (2): 348-351.
23. Hoffmann M, Chang HH, Huang S, Ingber DE, Loeffler M, et al. (2008) Noise-driven stem cell and progenitor population dynamics. PLOS One 3 (8): e2922.
24. Arkin A, Ross J, McAdams HH, (1998) Stochastic kinetic analysis of developmental pathway bifurcation in phage λ-infected Escherichia coli cells. Genetics 149: 1633-1648.
25. Wang J, Zhang J, Yuan Z, Zhou T, (2007) Noise-induced switches in network systems of the genetic toggle switch. BMC Systems Biology 89 doi:10.1186/1752-0509-1-50.
26. Hasty J, Pradines J, Dolnik M, Collins JJ, (2000) Noise-based switches and amplifiers for gene expression. PNAS 97 (5): 2075-2080.
27. Asakura S, Honda H, (1984) Two-state model for bacterial chemoreceptor proteins. J Mol Biol 176: 349-367.
28. Barkai N, Leibler S, (1997) Robustness in simple biochemical networks. Nature 387: 913-917.