Conditions for self-consistent aggregation by chemotactic particles

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 4, 2008, Pages

  Inoue, Masayo ^a   Kaneko, Kunihiko ^a,b  

^a UNIVERSITY OF TOKYO   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

AGGLOMERATION; CELL CULTURE; CLUSTER ANALYSIS; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER);

CHEMOTACTIC PARTICLES; DEGRADATION RATES; INTRACELLULAR DYNAMICS; PARTIAL AGGREGATION;

MICROORGANISMS;

EID: 42549092358     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.041916     Document Type: Article

References (23)

1. F. Oosawa and Y. Nakaoka, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(77)90243-0 66, 747 (1977).
2. H. C. Berg and D. A. Brown, Nature (London) NATUAS 0028-0836 10.1038/239500a0 239, 500 (1972).
3. R. M. Macnab and D. E. Koshland, Jr., Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.69.9.2509 69, 2509 (1972).
4. N. Barkai, U. Alon, and S. Leibler, C. R. Acad. Sci., Ser. IV Phys. Astrophys. ZZZZZZ 1296-2147 2, 871 (2001).
5. D. A. Clark and L. C. Grant, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0407659102 102, 9150 (2005).
6. V. Sourjik, Trends Microbiol. TRMIEA 0966-842X 10.1016/j.tim.2004.10.003 12, 569 (2004).
7. N. Tsang, R. M. Macnab, and D. E. Koshland, Jr., Science SCIEAS 0036-8075 10.1126/science.181.4094.60 181, 60 (1973).
8. J. L. Spudich and D. E. Koshland, Jr., Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.72.2.710 72, 710 (1975).
9. M. Inoue and K. Kaneko, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.011903 74, 011903 (2006).
10. L. Tsimring, H. Levine, I. Aranson, E. Ben-Jacob, I. Cohen, O. Shochet, and W. N. Reynolds, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75. 1859 75, 1859 (1995).
11. Y. Yamazaki, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.12.013 205, 136 (2005).
12. N. Mittal, E. O. Budrene, M. P. Brenner, and A. van Oudenaarden, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.2233626100 100, 13259 (2003).
13. E. O. Budrene and H. C. Berg, Nature (London) NATUAS 0028-0836 10.1038/349630a0 349, 630 (1991).
14. S. Asakura and H. Honda, J. Mol. Biol. JMOBAK 0022-2836 10.1016/0022-2836(84)90494-7 176, 349 (1984).
15. R. Erban and H. G. Othmer, SIAM J. Appl. Math. SMJMAP 0036-1399 10.1137/S0036139903433232 65, 361 (2004).
16. F. Chalub, Math. Models Meth. Appl. Sci. MMMSEU 0218-2025 10.1142/S0218202506001509 16, 1173 (2006);
17. F. Filbet, P. Laurencot, and B. Perthame, J. Math. Biol. JMBLAJ 0303-6812 10.1007/s00285-004-0286-2 50, 189 (2005);
18. N. Bellomo, Math. Models Meth. Appl. Sci. MMMSEU 0218-2025 10.1142/S0218202507002431 17, 1675 (2007).
19. E. F. Keller and L. A. Segel, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(70)90092-5 26, 399 (1970).
20. V. Nanjundiah, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(73) 90149-5 42, 63 (1973).
21. S. Childress and J. K. Percus, Math. Biosci. MABIAR 0025-5564 10.1016/0025-5564(81)90055-9 56, 217 (1981).
22. R. Erban and H. G. Othmer, Multiscale Model. Simul. MMSUBT 1540-3459 10.1137/040603565 3, 362 (2005).
23. J. A. Shapiro, in Bacteria as Multicellular Organisms, edited by, J. A. Shapiro, and, M. Dworkin, (Oxford University Press, Oxford), pp. 14-49.