-
1
-
-
0016294131
-
Signal propagation during aggregation in the slime mold Dictyostelium discoideum
-
F. Alcantara and M. Monk, Signal propagation during aggregation in the slime mold Dictyostelium discoideum, J. Gen. Microbiology, 85 (1974), pp. 321-334.
-
(1974)
J. Gen. Microbiology
, vol.85
, pp. 321-334
-
-
Alcantara, F.1
Monk, M.2
-
2
-
-
0029674544
-
Stable and unstable singularities in the unforced Hele-Shaw cell
-
R. Almgren, A. Bertozzi, and M.P. Brenner, Stable and unstable singularities in the unforced Hele-Shaw cell, Phys. Fluids, 8 (1996), pp. 1356-1370.
-
(1996)
Phys. Fluids
, vol.8
, pp. 1356-1370
-
-
Almgren, R.1
Bertozzi, A.2
Brenner, M.P.3
-
5
-
-
0000657461
-
Local and global solvability of some parabolic systems modeling chemotaxis
-
P. Biler, Local and global solvability of some parabolic systems modeling chemotaxis, Adv. Math. Sci. Appl., 8 (1998), pp. 715-743.
-
(1998)
Adv. Math. Sci. Appl.
, vol.8
, pp. 715-743
-
-
Biler, P.1
-
6
-
-
0004003283
-
-
Princeton University Press, Princeton, NJ
-
J.T. Bonner, The Cellular Slime Molds, Princeton University Press, Princeton, NJ, 1967.
-
(1967)
The Cellular Slime Molds
-
-
Bonner, J.T.1
-
7
-
-
0033163978
-
Diffusion, attraction and collapse
-
M.P. Brenner, P. Constantin, L.P. Kadanoff, A. Schenkel, and S.C. Venkataramani, Diffusion, attraction and collapse, Nonlinearity, 12 (1999), pp. 1071-1098.
-
(1999)
Nonlinearity
, vol.12
, pp. 1071-1098
-
-
Brenner, M.P.1
Constantin, P.2
Kadanoff, L.P.3
Schenkel, A.4
Venkataramani, S.C.5
-
8
-
-
0001908831
-
Stable blow-up patterns
-
A. Bressan, Stable blow-up patterns, J. Differential Equations, 98 (1992), pp. 57-75.
-
(1992)
J. Differential Equations
, vol.98
, pp. 57-75
-
-
Bressan, A.1
-
9
-
-
0029023398
-
Dynamics of formation of symmetrical patterns by chemotactic bacteria
-
E.O. Budrene and H.C. Berg, Dynamics of formation of symmetrical patterns by chemotactic bacteria, Nature, 376 (1995), pp. 49-53.
-
(1995)
Nature
, vol.376
, pp. 49-53
-
-
Budrene, E.O.1
Berg, H.C.2
-
10
-
-
0002166459
-
Chemotactic collapse in two dimensions
-
Modelling of Patterns in Space and Time, Springer-Verlag, Berlin
-
S. Childress, Chemotactic collapse in two dimensions, in Modelling of Patterns in Space and Time, Lecture Notes in Biomath. 55, Springer-Verlag, Berlin, 1984, pp. 61-68.
-
(1984)
Lecture Notes in Biomath.
, vol.55
, pp. 61-68
-
-
Childress, S.1
-
11
-
-
0019784884
-
Nonlinear aspects of chemotaxis
-
S. Childress and J.K. Percus, Nonlinear aspects of chemotaxis, Math. Biosci., 56 (1981), pp. 217-237.
-
(1981)
Math. Biosci.
, vol.56
, pp. 217-237
-
-
Childress, S.1
Percus, J.K.2
-
12
-
-
0015042105
-
Wave propagation in the early stages of aggregation of cellular slime molds
-
M.H. Cohen and S.A. Robertson, Wave propagation in the early stages of aggregation of cellular slime molds, J. Theor. Biol., 31 (1971), pp. 105-135.
-
(1971)
J. Theor. Biol.
, vol.31
, pp. 105-135
-
-
Cohen, M.H.1
Robertson, S.A.2
-
13
-
-
0011234286
-
Fast blow-up for sign-changing solutions of a semilinear equation with critical nonlinearity
-
S. Filippas, M.A. Herrero, and J.J.L. Velázquez, Fast blow-up for sign-changing solutions of a semilinear equation with critical nonlinearity, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 456 (2000), pp. 2957-2982.
-
(2000)
R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci.
, vol.456
, pp. 2957-2982
-
-
Filippas, S.1
Herrero, M.A.2
Velázquez, J.J.L.3
-
14
-
-
0032445844
-
Global behaviour of a reaction-diffusion system modeling chemotaxis
-
H. Gajewski and K. Zacharias, Global behaviour of a reaction-diffusion system modeling chemotaxis, Math. Nachr., 195 (1998), pp. 77-114.
-
(1998)
Math. Nachr.
, vol.195
, pp. 77-114
-
-
Gajewski, H.1
Zacharias, K.2
-
15
-
-
0011191287
-
Asymptotic properties of reaction-diffusion systems modeling chemotaxis
-
Venice-2, R. Spigler, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands
-
M.A. Herrero, Asymptotic properties of reaction-diffusion systems modeling chemotaxis, in Applied and Industrial Mathematics, Venice-2, R. Spigler, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000, pp. 89-108.
-
(2000)
Applied and Industrial Mathematics
, pp. 89-108
-
-
Herrero, M.A.1
-
16
-
-
0000507343
-
Finite-time aggregation into a single point in a reaction-diffusion system
-
M.A. Herrero, E. Medina, and J.J.L. Velázquez, Finite-time aggregation into a single point in a reaction-diffusion system, Nonlinearity, 10 (1997), pp. 1739-1754.
-
(1997)
Nonlinearity
, vol.10
, pp. 1739-1754
-
-
Herrero, M.A.1
Medina, E.2
Velázquez, J.J.L.3
-
17
-
-
0032154585
-
Self-similar blow-up for a reaction-diffusion system
-
M.A. Herrero, E. Medina, and J.J.L. Velázquez, Self-similar blow-up for a reaction-diffusion system, J. Comput. Appl. Math. 97 (1998), pp. 99-119.
-
(1998)
J. Comput. Appl. Math.
, vol.97
, pp. 99-119
-
-
Herrero, M.A.1
Medina, E.2
Velázquez, J.J.L.3
-
18
-
-
0039712703
-
Singularity patterns in a chemotaxis model
-
M.A. Herrero and J.J.L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann., 306 (1996), pp. 583-623.
-
(1996)
Math. Ann.
, vol.306
, pp. 583-623
-
-
Herrero, M.A.1
Velázquez, J.J.L.2
-
19
-
-
0030334089
-
Chemotactic collapse for the Keller-Segel model
-
M.A. Herrero and J.J.L. Velázquez, Chemotactic collapse for the Keller-Segel model, J. Math. Biol., 35 (1996), pp. 177-196.
-
(1996)
J. Math. Biol.
, vol.35
, pp. 177-196
-
-
Herrero, M.A.1
Velázquez, J.J.L.2
-
23
-
-
0011248009
-
The nonsymmetric case of the Keller-Segel model in chemotaxis: Some recent results
-
NoDEA
-
D. Horstmann, The nonsymmetric case of the Keller-Segel model in chemotaxis: Some recent results, NoDEA, Nonlinear Differential Equations Appl., 8 (2001), pp. 399-423.
-
(2001)
Nonlinear Differential Equations Appl.
, vol.8
, pp. 399-423
-
-
Horstmann, D.1
-
24
-
-
84966208077
-
On explosions of solutions to a system of partial differential equations modeling chemotaxis
-
W. Jäger and S. Luckbaus, On explosions of solutions to a system of partial differential equations modeling chemotaxis, Trans. Amer. Math. Soc., 329 (1992), pp. 819-824.
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, pp. 819-824
-
-
Jäger, W.1
Luckbaus, S.2
-
25
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
E.F. Keller and L.A. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol., 26 (1970), pp. 399-415.
-
(1970)
J. Theor. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
26
-
-
0000911252
-
Blow-up of radially symmetric solutions to a chemotaxis system
-
T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl., 5 (1995), pp. 581-601.
-
(1995)
Adv. Math. Sci. Appl.
, vol.5
, pp. 581-601
-
-
Nagai, T.1
-
27
-
-
0011255910
-
Concentration behaviour of blow-up solutions for a simplified system of chemotaxis: Variational problems and related topics
-
in Japanese
-
T. Nagai, T. Senba, and T. Suzuki, Concentration behaviour of blow-up solutions for a simplified system of chemotaxis: Variational problems and related topics, Sūrikaisekikenkyūsho Kōkyūroku, 1181 (2001), pp. 140-176 (in Japanese).
-
(2001)
Sūrikaisekikenkyūsho Kōkyūroku
, vol.1181
, pp. 140-176
-
-
Nagai, T.1
Senba, T.2
Suzuki, T.3
-
28
-
-
0000687738
-
Chemotactic collapse in a parabolic system of mathematical biology
-
T. Nagai, T. Senba, and T. Suzuki, Chemotactic collapse in a parabolic system of mathematical biology, Hiroshima Math. J., 30 (2000), pp. 463-497.
-
(2000)
Hiroshima Math. J.
, vol.30
, pp. 463-497
-
-
Nagai, T.1
Senba, T.2
Suzuki, T.3
-
29
-
-
0001205112
-
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
-
T. Nagai, T. Senba, and K. Yoshida, Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis, Funkcial. Ekvac., 40 (1997), pp. 411-433.
-
(1997)
Funkcial. Ekvac.
, vol.40
, pp. 411-433
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
30
-
-
0015757937
-
Chemotaxis, signal relaying and aggregation morphology
-
V. Nanjudiah, Chemotaxis, signal relaying and aggregation morphology, J. Theor. Biol., 42 (1973), pp. 63-105.
-
(1973)
J. Theor. Biol.
, vol.42
, pp. 63-105
-
-
Nanjudiah, V.1
-
31
-
-
0023746235
-
Models of dispersal in biological systems
-
H.G. Othmer, S.R. Dunbar, and W. Alt, Models of dispersal in biological systems, J. Math. Biol., 26 (1988), pp. 263-298.
-
(1988)
J. Math. Biol.
, vol.26
, pp. 263-298
-
-
Othmer, H.G.1
Dunbar, S.R.2
Alt, W.3
-
32
-
-
0031207030
-
Aggregation, blow-up, and collapse: The ABC's of taxis in reinforced random walks
-
H.G. Othmer and A. Stevens, Aggregation, blow-up, and collapse: The ABC's of taxis in reinforced random walks, SIAM J. Appl. Math., 57 (1997), pp. 1044-1081.
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 1044-1081
-
-
Othmer, H.G.1
Stevens, A.2
-
33
-
-
0000389227
-
A model for gliding and aggregation of myxobacteria
-
A. Holden, M. Marcus, and H.G. Othmer, eds., Plenum Press, New York
-
A. Stevens, A model for gliding and aggregation of myxobacteria, in Nonlinear Wave Processes in Excitable Media, A. Holden, M. Marcus, and H.G. Othmer, eds., Plenum Press, New York, 1991, pp. 269-276.
-
(1991)
Nonlinear Wave Processes in Excitable Media
, pp. 269-276
-
-
Stevens, A.1
-
34
-
-
0011219707
-
-
Ph.D. thesis, Institüt für Ang. Math., University of Heidelberg, Heidelberg, Germany
-
A. Stevens, Mathematical Modeling and Simulations of the Aggregation of Myxobacteria. Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Processes, Ph.D. thesis, Institüt für Ang. Math., University of Heidelberg, Heidelberg, Germany, 1992.
-
(1992)
Mathematical Modeling and Simulations of the Aggregation of Myxobacteria. Chemotaxis Equations as Limit Dynamics of Moderately Interacting Stochastic Processes
-
-
Stevens, A.1
-
35
-
-
0000411594
-
Stability of self-similar solutions for van der Waals driven thin film rupture
-
T.P. Witelski and A.J. Bernoff, Stability of self-similar solutions for van der Waals driven thin film rupture, Phys. Fluids, 11 (1999), pp. 2443-2445.
-
(1999)
Phys. Fluids
, vol.11
, pp. 2443-2445
-
-
Witelski, T.P.1
Bernoff, A.J.2
|