-
1
-
-
0345373937
-
Burgers' dynamics governs the early stages of vascular network assembly
-
Ambrosi D., Gamba A., Giraudo E., Serini G., Preziosi L., and Bussolino F. Burgers' dynamics governs the early stages of vascular network assembly. EMBO J. Biol. 22 (2003) 1771-1779
-
(2003)
EMBO J. Biol.
, vol.22
, pp. 1771-1779
-
-
Ambrosi, D.1
Gamba, A.2
Giraudo, E.3
Serini, G.4
Preziosi, L.5
Bussolino, F.6
-
2
-
-
26844582988
-
Reorganization of basement membrane matrices by cellular traction promotes the formation of cellular networks in vitro
-
Vernon R., Angello J., Iruela-Arispe M., Lane T., and Sage E. Reorganization of basement membrane matrices by cellular traction promotes the formation of cellular networks in vitro. Lab. Invest. 31 (1992) 120-131
-
(1992)
Lab. Invest.
, vol.31
, pp. 120-131
-
-
Vernon, R.1
Angello, J.2
Iruela-Arispe, M.3
Lane, T.4
Sage, E.5
-
3
-
-
0038528528
-
Percolation, morphogenesis, and Burgers dynamics in blood vessels formation
-
118101/1-4
-
Gamba A., Ambrosi D., Coniglio A., de Candia A., Di Talia S., Giraudo E., Serini G., Preziosi L., and Bussolino F. Percolation, morphogenesis, and Burgers dynamics in blood vessels formation. Phys. Rev. Lett. 90 (2003) 118101/1-4
-
(2003)
Phys. Rev. Lett.
, vol.90
-
-
Gamba, A.1
Ambrosi, D.2
Coniglio, A.3
de Candia, A.4
Di Talia, S.5
Giraudo, E.6
Serini, G.7
Preziosi, L.8
Bussolino, F.9
-
4
-
-
84867975891
-
PDE models for chemotactic movements. Parabolic, hyperbolic and kinetic
-
Perthame B. PDE models for chemotactic movements. Parabolic, hyperbolic and kinetic. Appl. Math. 49 6 (2004) 539-564
-
(2004)
Appl. Math.
, vol.49
, Issue.6
, pp. 539-564
-
-
Perthame, B.1
-
7
-
-
0021238271
-
Cell traction models for generating pattern and form in morphogenesis
-
Murray J., and Oster G. Cell traction models for generating pattern and form in morphogenesis. J. Math. Biol. 19 (1984) 265-279
-
(1984)
J. Math. Biol.
, vol.19
, pp. 265-279
-
-
Murray, J.1
Oster, G.2
-
8
-
-
0034050545
-
Mechanical signalling and angiogenesis. The integration of cell-Extracellular matrix couplings
-
Tranqui L., and Tracqui P. Mechanical signalling and angiogenesis. The integration of cell-Extracellular matrix couplings. C. R. Acad. Sci. Paris De La Vie/Life Sci. 323 (2000) 31-47
-
(2000)
C. R. Acad. Sci. Paris De La Vie/Life Sci.
, vol.323
, pp. 31-47
-
-
Tranqui, L.1
Tracqui, P.2
-
9
-
-
15844396394
-
Preventing blow-up in a chemotaxis model
-
Kowalczyk R. Preventing blow-up in a chemotaxis model. J. Math. Anal. Appl. 305 (2005) 566-588
-
(2005)
J. Math. Anal. Appl.
, vol.305
, pp. 566-588
-
-
Kowalczyk, R.1
-
10
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
Keller E.F., and Segel L.A. Initiation of slime mold aggregation viewed as an instability. J. Theoret. Biol. 26 (1970) 399-415
-
(1970)
J. Theoret. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
11
-
-
0001488448
-
Norm behaviour of solutions to the parabolic system of chemotaxis
-
Yagi A. Norm behaviour of solutions to the parabolic system of chemotaxis. Math. Japon. 45 (1997) 241-265
-
(1997)
Math. Japon.
, vol.45
, pp. 241-265
-
-
Yagi, A.1
-
12
-
-
0015757937
-
Chemotaxis, signal relaying, and aggregation morphology
-
Nanjundiah V. Chemotaxis, signal relaying, and aggregation morphology. J. Theoret. Biol. 42 (1973) 63-105
-
(1973)
J. Theoret. Biol.
, vol.42
, pp. 63-105
-
-
Nanjundiah, V.1
-
13
-
-
84966208077
-
On explosions of solutions to a system of partial differential equations modelling chemotaxis
-
Jäger W., and Luckhaus S. On explosions of solutions to a system of partial differential equations modelling chemotaxis. Trans. Amer. Math. Soc. 329 (1992) 819-824
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, pp. 819-824
-
-
Jäger, W.1
Luckhaus, S.2
-
14
-
-
0000911252
-
Blow-up of radially symmetric solutions to a chemotaxis system
-
Nagai T. Blow-up of radially symmetric solutions to a chemotaxis system. Adv. Math. Sci. Appl. 5 (1995) 581-601
-
(1995)
Adv. Math. Sci. Appl.
, vol.5
, pp. 581-601
-
-
Nagai, T.1
-
15
-
-
0039712703
-
Singularity patterns in a chemotaxis model
-
Herrero M., and Velázquez J. Singularity patterns in a chemotaxis model. Math. Ann. 306 (1996) 583-623
-
(1996)
Math. Ann.
, vol.306
, pp. 583-623
-
-
Herrero, M.1
Velázquez, J.2
-
16
-
-
0030334089
-
Chemotaxis collapse for the Keller-Segel model
-
Herrero M., and Velázquez J. Chemotaxis collapse for the Keller-Segel model. J. Math. Biol. 35 (1996) 177-194
-
(1996)
J. Math. Biol.
, vol.35
, pp. 177-194
-
-
Herrero, M.1
Velázquez, J.2
-
18
-
-
0001404830
-
Global existence for a parabolic chemotaxis model with prevention of overcrowding
-
Hillen T., and Painter K. Global existence for a parabolic chemotaxis model with prevention of overcrowding. Adv. in Appl. Math. 26 (2001) 280-301
-
(2001)
Adv. in Appl. Math.
, vol.26
, pp. 280-301
-
-
Hillen, T.1
Painter, K.2
-
19
-
-
0001205112
-
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
-
Nagai T., Senba T., and Yoshida K. Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis. Funkcial. Ekvac. 40 (1997) 411-433
-
(1997)
Funkcial. Ekvac.
, vol.40
, pp. 411-433
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
20
-
-
0000657461
-
Local and global solvability of some parabolic systems modelling chemotaxis
-
Biler P. Local and global solvability of some parabolic systems modelling chemotaxis. Adv. Math. Sci. Appl. 8 (1998) 715-743
-
(1998)
Adv. Math. Sci. Appl.
, vol.8
, pp. 715-743
-
-
Biler, P.1
-
21
-
-
0032445844
-
Global behavior of a reaction-diffusion system modelling chemotaxis
-
Gajewski H., and Zacharias K. Global behavior of a reaction-diffusion system modelling chemotaxis. Math. Nachr. 159 (1998) 77-114
-
(1998)
Math. Nachr.
, vol.159
, pp. 77-114
-
-
Gajewski, H.1
Zacharias, K.2
-
22
-
-
4744373150
-
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences I
-
Horstmann D. From 1970 until present: The Keller-Segel model in chemotaxis and its consequences I. Jahresber. Deutsch. Math.-Verein. 105 (2003) 103-165
-
(2003)
Jahresber. Deutsch. Math.-Verein.
, vol.105
, pp. 103-165
-
-
Horstmann, D.1
-
23
-
-
13844288282
-
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences II
-
Horstmann D. From 1970 until present: The Keller-Segel model in chemotaxis and its consequences II. Jahresber. Deutsch. Math.-Verein. 106 (2004) 51-69
-
(2004)
Jahresber. Deutsch. Math.-Verein.
, vol.106
, pp. 51-69
-
-
Horstmann, D.1
-
24
-
-
33746377577
-
Volume effects in the Keller-Segel model: Energy estimates preventing blow-up
-
Calvez V., and Carillo J.A. Volume effects in the Keller-Segel model: Energy estimates preventing blow-up. J. Math. Pures Appl. 86 2 (2006) 155-175
-
(2006)
J. Math. Pures Appl.
, vol.86
, Issue.2
, pp. 155-175
-
-
Calvez, V.1
Carillo, J.A.2
-
25
-
-
34547452103
-
Asymptotic profile with the optimal convergence rate for a parabolic equation of chemotaxis in super-critical cases
-
Luckhaus S., and Sugiyama Y. Asymptotic profile with the optimal convergence rate for a parabolic equation of chemotaxis in super-critical cases. Indiana Univ. Math. J. 56 3 (2007) 1279-1298
-
(2007)
Indiana Univ. Math. J.
, vol.56
, Issue.3
, pp. 1279-1298
-
-
Luckhaus, S.1
Sugiyama, Y.2
-
26
-
-
28044432126
-
Global existence and decay property of solutions for some degenerate quasilinear parabolic systems modeling chemotaxis
-
Sugiyama Y. Global existence and decay property of solutions for some degenerate quasilinear parabolic systems modeling chemotaxis. Nonlinear Anal. 63 (2005) e1051-e1062
-
(2005)
Nonlinear Anal.
, vol.63
-
-
Sugiyama, Y.1
-
27
-
-
0035457836
-
On a quasilinear degenerate system arising in semiconductor theory. Part I: Existence and uniqueness of solutions
-
Diaz J.I., Galiano G., and Jüngel A. On a quasilinear degenerate system arising in semiconductor theory. Part I: Existence and uniqueness of solutions. Nonlinear Anal. Real World Appl. 2 (2001) 305-336
-
(2001)
Nonlinear Anal. Real World Appl.
, vol.2
, pp. 305-336
-
-
Diaz, J.I.1
Galiano, G.2
Jüngel, A.3
-
28
-
-
18144371222
-
Boundedness vs. blow-up in a chemotaxis system
-
Horstmann D., and Winkler M. Boundedness vs. blow-up in a chemotaxis system. J. Differential Equations 215 (2005) 52-107
-
(2005)
J. Differential Equations
, vol.215
, pp. 52-107
-
-
Horstmann, D.1
Winkler, M.2
-
29
-
-
85045529914
-
A chemotaxis model with threshold density and degenerate diffusion. Nonlinear elliptic and parabolic problems
-
Birkhäuser, Basel
-
Laurencot P., and Wrzosek D. A chemotaxis model with threshold density and degenerate diffusion. Nonlinear elliptic and parabolic problems. Progr. Nonlinear Differential Equations Appl. vol. 64 (2005), Birkhäuser, Basel 273-290
-
(2005)
Progr. Nonlinear Differential Equations Appl.
, vol.64
, pp. 273-290
-
-
Laurencot, P.1
Wrzosek, D.2
-
30
-
-
0005525774
-
p estimates for a class of reaction-diffusion systems
-
p estimates for a class of reaction-diffusion systems. Colloq. Math. 87 1 (2001) 113-127
-
(2001)
Colloq. Math.
, vol.87
, Issue.1
, pp. 113-127
-
-
Horstmann, D.1
-
31
-
-
0001835099
-
Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems
-
Schmeisser H.J., and Triebel H. (Eds), Teubner, Stuttgart
-
Amann H. Nonhomogeneous linear and quasilinear elliptic and parabolic boundary value problems. In: Schmeisser H.J., and Triebel H. (Eds). Function Spaces, Differential Operators and Nonlinear Analysis (1993), Teubner, Stuttgart 9-126
-
(1993)
Function Spaces, Differential Operators and Nonlinear Analysis
, pp. 9-126
-
-
Amann, H.1
-
36
-
-
41449094921
-
Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
-
Cieslak T., and Morales-Rodrigo C. Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions. Topol. Methods Nonlinear Anal. 29 (2007) 361-381
-
(2007)
Topol. Methods Nonlinear Anal.
, vol.29
, pp. 361-381
-
-
Cieslak, T.1
Morales-Rodrigo, C.2
-
38
-
-
0025991093
-
Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis
-
Stokes C.L., and Lauffenburger D. Analysis of the roles of microvessel endothelial cell random motility and chemotaxis in angiogenesis. J. Theoret. Biol. 152 (1991) 377-403
-
(1991)
J. Theoret. Biol.
, vol.152
, pp. 377-403
-
-
Stokes, C.L.1
Lauffenburger, D.2
|