-
1
-
-
79957491924
-
-
http://www.freefem.org/ff++.
-
-
-
-
3
-
-
34248370060
-
The Keller-Segel model for chemotaxis with prevention of overcrowding: Linear vs. Nonlinear diffusion
-
DOI 10.1137/050637923
-
M. Burger, M. Di Francesco and Y. Dolak-Struss, The Keller-Segel model with prevention of overcrowding: Linear vs. nonlinear diffusion, SIAMJ. Math. Anal. 38 (2006) 1288-1315. (Pubitemid 47117641)
-
(2006)
SIAM Journal on Mathematical Analysis
, vol.38
, Issue.4
, pp. 1288-1315
-
-
Burger, M.1
Di Francesco, M.2
Dolak-Struss, Y.3
-
4
-
-
42649096592
-
Asymptotic analysis of an advectiondominated chemotaxis model in multiple spatial dimensions
-
M. Burger, Y. Dolak-Struss and C. Schmeiser, Asymptotic analysis of an advectiondominated chemotaxis model in multiple spatial dimensions, Commun. Math. Sci. 6 (2008) 1-28.
-
(2008)
Commun. Math. Sci.
, vol.6
, pp. 1-28
-
-
Burger, M.1
Dolak Y.-Struss2
Schmeiser, C.3
-
6
-
-
70450223376
-
Existence of solutions of the hyperbolic Keller-Segel model
-
A. L. Dalibard and B. Perthame, Existence of solutions of the hyperbolic Keller-Segel model, Trans. Amer. Math. Soc. 361 (2009) 2319-2335.
-
(2009)
Trans. Amer. Math. Soc.
, vol.361
, pp. 2319-2335
-
-
Dalibard, A.L.1
Perthame, B.2
-
7
-
-
33644610345
-
The Keller-Segel model with logistic sensitivity function and small diffusivity
-
Y. Dolak-Struss and C. Schmeiser, The Keller-Segel model with logistic sensitivity function and small diffusivity, SIAM J. Appl. Math. 66 (2005) 286-308.
-
(2005)
SIAM J. Appl. Math.
, vol.66
, pp. 286-308
-
-
Dolak Y.-Struss1
Schmeiser, C.2
-
8
-
-
0032207792
-
Studies of bacterial branching growth using reaction-diffusion models for colonial development
-
PII S0378437198003458
-
I. Golding, Y. Kozlovsky, I. Cohen and E. Ben-Jacob, Studies of bacterial branching growth using reaction-diffusion models for colonial development, Physica A 260 (1998) 510-554. (Pubitemid 128395071)
-
(1998)
Physica A: Statistical Mechanics and its Applications
, vol.260
, Issue.3-4
, pp. 510-554
-
-
Golding, I.1
Kozlovsky, Y.2
Cohen, I.3
Ben-Jacob, E.4
-
9
-
-
0020607165
-
Autocatalytic reactions in the isothermal continuous stirred tank reactor
-
DOI 10.1016/0009-2509(83)80132-8
-
P. Gray and S. K. Scott, Autocatalytic reactions in the isothermal continuous stirred tank reactor: Isolas and other forms of multistability, Chem. Engrg. Sci. 38 (1983) 29-43. (Pubitemid 13526138)
-
(1983)
Chemical Engineering Science
, vol.38
, Issue.1
, pp. 29-43
-
-
Gray, P.1
Scott, S.K.2
-
10
-
-
62249119282
-
Identification of genes required for different stages of dendritic swarming in Bacillus subtilis, with a role for phrC
-
K. Hamze et al., Identification of genes required for different stages of dendritic swarming in Bacillus subtilis, with a role for phrC, Microbiol. 155 (2009) 398-412.
-
(2009)
Microbiol.
, vol.155
, pp. 398-412
-
-
Hamze, K.1
-
11
-
-
33847682685
-
A classification of spikes and plateaus
-
DOI 10.1137/050632427
-
T. Hillen, A classification of spikes and plateaus, SIAM Rev. 49 (2007) 35-51. (Pubitemid 46351350)
-
(2007)
SIAM Review
, vol.49
, Issue.1
, pp. 35-51
-
-
Hillen, T.1
-
12
-
-
63049107118
-
A user's guide to PDE models for chemotaxis
-
T. Hillen and K. Painter, A user's guide to PDE models for chemotaxis, J. Math. Biol. 58 (2009) 183-217.
-
(2009)
J. Math. Biol.
, vol.58
, pp. 183-217
-
-
Hillen, T.1
Painter, K.2
-
13
-
-
4744373150
-
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, Part I, Jahresber
-
D. Horstmann, From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, Part I, Jahresber. Deutsch. Math. Verein. 105 (2003) 103-165.
-
(2003)
Deutsch. Math. Verein.
, vol.105
, pp. 103-165
-
-
Horstmann, D.1
-
14
-
-
13844288282
-
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, Part II, Jahresber
-
D. Horstmann, From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, Part II, Jahresber. Deutsch. Math. Verein. 106 (2004) 51-69.
-
(2004)
Deutsch. Math. Verein.
, vol.106
, pp. 51-69
-
-
Horstmann, D.1
-
15
-
-
3142682357
-
Branched swarming patterns on a synthetic medium formed by wild type Bacillus subtilis strain 3610
-
D. Julkowska, M. Obuchowski, I. B. Holland and S. J. Seror, Branched swarming patterns on a synthetic medium formed by wild type Bacillus subtilis strain 3610, Microbiol. 150 (2004) 1839-1849.
-
(2004)
Microbiol.
, vol.150
, pp. 1839-1849
-
-
Julkowska, D.1
Obuchowski, M.2
Holland, I.B.3
Seror, S.J.4
-
16
-
-
11144326950
-
Comparative analysis of the development of swarming communities Bacillus subtilis 168 and a natural wild type: Critical effect of the surfactin and the composition of the medium
-
D. Julkowska, M. Obuchowski, I. B. Holland and S. J. Seror, Comparative analysis of the development of swarming communities Bacillus subtilis 168 and a natural wild type: Critical effect of the surfactin and the composition of the medium, J. Bacteriol. 187 (2005) 65-74.
-
(2005)
J. Bacteriol.
, vol.187
, pp. 65-74
-
-
Julkowska, D.1
Obuchowski, M.2
Holland, I.B.3
Seror, S.J.4
-
17
-
-
0031582766
-
Modeling spatio-temporal patterns generated by Bacillus subtilis
-
DOI 10.1006/jtbi.1997.0462
-
K. Kawasaki, A. Mochizuki, M. Matsushita, T. Umeda and N. Shigesada, Modeling spatiotemporal patterns created by Bacillus subtilis, J. Theor. Biol. 188 (1997) 177-185. (Pubitemid 27464187)
-
(1997)
Journal of Theoretical Biology
, vol.188
, Issue.2
, pp. 177-185
-
-
Kawasaki, K.1
Mochizuki, A.2
Matsushita, M.3
Umeda, T.4
Shigesada, N.5
-
18
-
-
0032491002
-
Fluctuation induced diffusive instabilities
-
D. A. Kessler and H. Levine, Fluctuation induced diffusive instabilities, Nature 394 (1998) 556-558.
-
(1998)
Nature
, vol.394
, pp. 556-558
-
-
Kessler, D.A.1
Levine, H.2
-
19
-
-
0033151183
-
Lubricating bacteria model for branching growth of bacterial colonies
-
Y. Kozlovsky, I. Cohen, I. Golding and E. Ben-Jacob, Lubricating bacteria model for branching growth of bacterial colony, Phys. Rev. E 59 (1999) 7025-7035. (Pubitemid 129691123)
-
(1999)
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
, vol.59
, Issue.6
, pp. 7025-7035
-
-
Kozlovsky, Y.1
Cohen, I.2
Golding, I.3
Ben-Jacob, E.4
-
20
-
-
73949089999
-
Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis
-
T. Li and Z. Wang, Nonlinear stability of traveling waves to a hyperbolic-parabolic system modeling chemotaxis, SIAM J. Appl. Math. 70 (2009) 1522-1541.
-
(2009)
SIAM J. Appl. Math.
, vol.70
, pp. 1522-1541
-
-
Li, T.1
Wang, Z.2
-
21
-
-
79952908235
-
Models of self-organizing bacterial communities and comparisons with experimental observations
-
A. Marrocco, H. Henry, I. B. Holland, M. Plapp, S. J. Seror and B. Perthame, Models of self-organizing bacterial communities and comparisons with experimental observations, Math. Model. Nat. Phenom. 5 (2010) 148-162.
-
(2010)
Math. Model. Nat. Phenom.
, vol.5
, pp. 148-162
-
-
Marrocco, A.1
Henry, H.2
Holland, I.B.3
Plapp, M.4
Seror, S.J.5
Perthame, B.6
-
23
-
-
0033722824
-
Reaction diffusion modeling of bacterial colony patterns
-
M. Mimura, H. Sakaguchi and M. Matsushita, Reaction diffusion modeling of bacterial colony patterns, Physica A 282 (2000) 283-303.
-
(2000)
Physica A
, vol.282
, pp. 283-303
-
-
Mimura, M.1
Sakaguchi, H.2
Matsushita, M.3
-
26
-
-
79957453897
-
Traveling plateaus for a Keller-Segel system with logistic sensitivity; existence and branching instabilities
-
to appear
-
B. Perthame, C. Schmeiser, M. Tang and N. Vauchelet, Traveling plateaus for a Keller-Segel system with logistic sensitivity; existence and branching instabilities, Nonlinearity, to appear.
-
Nonlinearity
-
-
Perthame, B.1
Schmeiser, C.2
Tang, M.3
Vauchelet, N.4
-
27
-
-
34147166003
-
Concentration dependence of the collective dynamics of swimming bacteria
-
A. Sokolov, I. S. Aranson, J. O. Kessler and R. E. Goldstein, Concentration dependence of the collective dynamics of swimming bacteria, Phys. Rev. Lett. 98 (2007) 158102.
-
(2007)
Phys. Rev. Lett.
, vol.98
, pp. 158102
-
-
Sokolov, A.1
Aranson, I.S.2
Kessler, J.O.3
Goldstein, R.E.4
-
28
-
-
77954299413
-
Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source
-
M. Winkler, Boundedness in the higher-dimensional parabolic-parabolic chemotaxis system with logistic source, Comm. Partial Differential Equations 35 (2010) 1516-1537.
-
(2010)
Comm. Partial Differential Equations
, vol.35
, pp. 1516-1537
-
-
Winkler, M.1
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