EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 5 / No 1 (2010) Math. Model. Nat. Phenom., 5 1 (2010) 148-162 References
Free Access
Issue
Math. Model. Nat. Phenom.
Volume 5, Number 1, 2010
Cell migration
Page(s) 148 - 162
DOI https://doi.org/10.1051/mmnp/20105107
Published online 03 February 2010
  1. M. Banaha, A. DaerrL. Limat. Spreading of liquid drops on agar gels. Eur. Phys. J. Special Topics, 166 (2009), 185–188 [Google Scholar]
  2. M. Bees, P. Andresén, E. MosekildeM. Givskov. The interaction of thin-film flow, bacterial swarming and cell differentiation in colonies of Serratia liquefaciens. J. Math. Biol., 40 (2000), 27–63 [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  3. A. Blanchet, J. Dolbeault, B. Perthame. Two dimensional Keller-Segel model in ℝ2: optimal critical mass and qualitative properties of the solution. Electron. J. Diff. Eqns., 2006(44) (2006), 1–32. [Google Scholar]
  4. S. E. Esipov, J. A. Shapiro. Kinetic model of Proteus mirabilis swarm colony development. J. Math. Biology, 36 (1998), No 1 Cell migration, 249–268. [CrossRef] [Google Scholar]
  5. E. Frénod. Existence result of a model of Proteus mirabilis swarm. Diff. and Integr. eq., 19 (2006), No 1 Cell migration, 697–720. [Google Scholar]
  6. I. Golding, Y. Kozlovsky, I. CohenE. Ben-Jacob. Studies of bacterial branching growth using reaction-diffusion models for colonial development. Phys. A, 260 (1998), 510–554 [Google Scholar]
  7. P. Gray, S. K. Scott. Autocatalytic reactions in the isothermal continuous stirred tank reactor: isolas and other forms of multistability. Chem. Eng. Sci., 38 (1983), No 1 Cell migration, 29–43. [CrossRef] [Google Scholar]
  8. K. Hamze, D. Julkowska, S. Autret, K. Hinc, K. Nagorska, A. Sekowska, I. B. HollS. J. Séror. Identification of genes required for different stages of dendritic swarming in Bacillus subtilis, with a novel role for phrC. Microbiology, 155 (2009), 398–412 [CrossRef] [PubMed] [Google Scholar]
  9. D. Julkowska, M. Obuchowski, I. B. HollS. J. Séror. Branched swarming patterns on a synthetic medium formed by wild type Bacillus subtilis strain 3610. Microbiology, 150 (2004), 1839–1849 [CrossRef] [PubMed] [Google Scholar]
  10. D. Julkowska, M. Obuchowski, I. B. Holland, S. J. Séror. Comparative analysis of the development of swarming communities Bacillus subtilis 168 and a natural wild type: critical effects of surfactin and the composition of the medium. J. Bacteriol. 187 (2005), 65–74. [CrossRef] [PubMed] [Google Scholar]
  11. K. Kawasaki, A. Mochizuki, M. Matsushita, T. Umeda, N. Shigesada. Modeling spatio-temporal patterns created by Bacillus-subtilis. J. Theor. Biol. 188 (1997), 177–185. [CrossRef] [PubMed] [Google Scholar]
  12. E. F. KellerL. A. Segel. Model for chemotaxis. J. Theor. Biol., 30 (1971), 225–234 [CrossRef] [PubMed] [Google Scholar]
  13. D. A. KesslerH. Levine. Fluctuation induced diffusive instabilities. Nature, 394 (1998), 556–558 [CrossRef] [Google Scholar]
  14. T. Kolokolnikov, M. J. WardJ. Wei. The existence and stability of spike equilibria in the one-dimensional Gray-Scott model: the pulse-splitting regime. Physica D, 202 (2005), 258–293 [CrossRef] [MathSciNet] [Google Scholar]
  15. Y. Kozlovsky, I. Cohen, I. Golding, E. Ben-Jacob. Lubricating bacteria model for branching growth of bacterial colony. Phys. Rev. E, Phys. plasmas fluids Relat. Interdisciplinary Topics, 50 (1999), 7025–7035. [Google Scholar]
  16. A. Marrocco. 2D simulation of chemotactic bacteria aggregation. ESAIM: Math. Modelling and Numerical Analysis, 37 (2003), 617–630 [CrossRef] [Google Scholar]
  17. A. Marrocco. Aggrégation de bactéries. Simulations numériques de modèles de réaction-diffusion à l’aide d’éléments finis mixtes. INRIA report (2007) : http://hal.inria.fr/docs/00/12/38/91/PDF/RR-6092.pdf [Google Scholar]
  18. R. J. Metzger, O. D. Klein, G. R. Martin, M. A. Krasnow. The branching programme of mouse lung development. Nature 453 (2008), 745–750. [CrossRef] [PubMed] [Google Scholar]
  19. M. Mimura, H. SakaguchiM. Matsushita. Reaction diffusion modelling of bacterial colony patterns. Physica A, 282 (2000), 283–303 [Google Scholar]
  20. J. Müller, W. van Saarloos. Morphological instability and dynamics of fronts in bacterial growth models with nonlinear diffusion. Phys. Rev. E, 65 (2002), 061111. [CrossRef] [Google Scholar]
  21. C. B. Muratov, V. V. Osipov. Traveling spike autosolitons in the Gray-Scott model. Physica D, 155 (2001), 112–131. [CrossRef] [MathSciNet] [Google Scholar]
  22. J. D. Murray. Mathematical biology, Vol. 1 and 2, Second edition. Springer (2002). [Google Scholar]
  23. B. Perthame. Transport Equations in Biology (LN Series Frontiers in Mathematics), Birkhauser, (2007). [Google Scholar]
  24. O. Rauprich, M. Matshushita, C. J. Weijer, F. Siegert, S. E. Esipov, J. A. Shapiro. Periodic phenomena in Proteus mirabilis swarm colony development. J. Bacteriol. 178 (1996), 6525–6538. [PubMed] [Google Scholar]
  25. S. M. Troian, X. L. WuS. A. Safran. Fingering instabilities in thin wetting films. Phys. Rev. Lett., 62 (1989), 1496–1499 [CrossRef] [PubMed] [Google Scholar]
  26. J. Y. Wakano, A. Komoto, Y. Yamaguchi. Phase transition of traveling waves in bacterial colony pattern. Phys. Rev. E 69 (2004), 051904, 1–9. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.