-
1
-
-
0014748565
-
Initiation of slime mold aggregation viewed as instability
-
Keller E.F., and Segel L.A. Initiation of slime mold aggregation viewed as 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
-
2
-
-
0016679509
-
Necessary and sufficient conditions for chemotactic bands
-
Keller E.F., and Odell G.M. Necessary and sufficient conditions for chemotactic bands. Math. Biosci. 27 (1975) 309-317
-
(1975)
Math. Biosci.
, vol.27
, pp. 309-317
-
-
Keller, E.F.1
Odell, G.M.2
-
3
-
-
0017184096
-
Traveling bands of chemotactic bacteria revisited
-
Keller E.F., and Odell G.M. Traveling bands of chemotactic bacteria revisited. J. Theoret. Biol. 56 (1976) 243-247
-
(1976)
J. Theoret. Biol.
, vol.56
, pp. 243-247
-
-
Keller, E.F.1
Odell, G.M.2
-
4
-
-
0015010990
-
Traveling bands of chemotactic bacteria: A theoretical analysis
-
Keller E.F., and Segel L.A. Traveling bands of chemotactic bacteria: A theoretical analysis. J. Theoret. Biol. 30 (1971) 235-248
-
(1971)
J. Theoret. Biol.
, vol.30
, pp. 235-248
-
-
Keller, E.F.1
Segel, L.A.2
-
5
-
-
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
-
6
-
-
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
-
7
-
-
25144494216
-
A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion
-
Anderson A.R.A. A hybrid mathematical model of solid tumour invasion: The importance of cell adhesion. IMA J. Math. Med. Biol. 22 (2005) 163-186
-
(2005)
IMA J. Math. Med. Biol.
, vol.22
, pp. 163-186
-
-
Anderson, A.R.A.1
-
8
-
-
0032170064
-
Continuous and discrete mathematical models of tumour-induced angiogenesis
-
Anderson A.R.A., and Chaplain M. Continuous and discrete mathematical models of tumour-induced angiogenesis. Bull. Math. Biol. 60 (1998) 857-900
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 857-900
-
-
Anderson, A.R.A.1
Chaplain, M.2
-
9
-
-
2542459083
-
Mathematical modelling of tissue invasion
-
Preziosi L. (Ed), Chapman Hall/CRC (Chapter 10)
-
Chaplain M. Mathematical modelling of tissue invasion. In: Preziosi L. (Ed). Cancer Modelling and Simulation (2003), Chapman Hall/CRC 269-297 (Chapter 10)
-
(2003)
Cancer Modelling and Simulation
, pp. 269-297
-
-
Chaplain, M.1
-
10
-
-
16644400591
-
Mathematical modelling of tumour induced angiogenesis
-
Mantzaris N.V., Webb S., and Othmer H.G. Mathematical modelling of tumour induced angiogenesis. J. Math. Biol. 49 (2004) 111-187
-
(2004)
J. Math. Biol.
, vol.49
, pp. 111-187
-
-
Mantzaris, N.V.1
Webb, S.2
Othmer, H.G.3
-
11
-
-
0039440566
-
A two parameter family of travelling waves with a singular barrier arising from the modelling of matrix mediated malignant invasion
-
Perumpanani A.J., Sherratt J.A., Norbury J., and Byrne H.M. A two parameter family of travelling waves with a singular barrier arising from the modelling of matrix mediated malignant invasion. Physica D. 126 (1999) 145-159
-
(1999)
Physica D.
, vol.126
, pp. 145-159
-
-
Perumpanani, A.J.1
Sherratt, J.A.2
Norbury, J.3
Byrne, H.M.4
-
12
-
-
41149151126
-
Global well-posedness of a haptotaxis model including age and spatial structure
-
Walker C. Global well-posedness of a haptotaxis model including age and spatial structure. Differential Integral Equations 20 (2007) 1053-1074
-
(2007)
Differential Integral Equations
, vol.20
, pp. 1053-1074
-
-
Walker, C.1
-
13
-
-
34548693955
-
Global existence of classical solutions for a haptotaxis model
-
Walker C., and Webb G.F. Global existence of classical solutions for a haptotaxis model. SIAM J. Math. Anal. 38 (2007) 1694-1713
-
(2007)
SIAM J. Math. Anal.
, vol.38
, pp. 1694-1713
-
-
Walker, C.1
Webb, G.F.2
-
14
-
-
0000714743
-
On a system of non linear strongly coupled partial differential equations arising in Biology
-
Everitt, and Sleeman (Eds), Springer-Verlag, New-York
-
Rascle M. On a system of non linear strongly coupled partial differential equations arising in Biology. In: Everitt, and Sleeman (Eds). Lectures Notes in Math. vol. 846 (1980), Springer-Verlag, New-York 290-298
-
(1980)
Lectures Notes in Math.
, vol.846
, pp. 290-298
-
-
Rascle, M.1
-
15
-
-
0000715275
-
Sur un équation intégro-différentielle non linéaire issue de la biologie
-
Rascle M. Sur un équation intégro-différentielle non linéaire issue de la biologie. J. Differential Equations 32 (1979) 420-453
-
(1979)
J. Differential Equations
, vol.32
, pp. 420-453
-
-
Rascle, M.1
-
16
-
-
13644283506
-
Global existence of solutions to a nonlinear model of sulphation phenomena in calcium carbonate stones
-
Guarguaglini F.R., and Natalini R. Global existence of solutions to a nonlinear model of sulphation phenomena in calcium carbonate stones. Nonlinear Anal. RWA 6 (2005) 477-494
-
(2005)
Nonlinear Anal. RWA
, vol.6
, pp. 477-494
-
-
Guarguaglini, F.R.1
Natalini, R.2
-
18
-
-
26844499863
-
Global solutions in some chemotaxis and angiogenesis systems in high space dimensions
-
Corrias L., Perthame B., and Zaag H. Global solutions in some chemotaxis and angiogenesis systems in high space dimensions. Milan J. Math. 72 (2004) 1-28
-
(2004)
Milan J. Math.
, vol.72
, pp. 1-28
-
-
Corrias, L.1
Perthame, B.2
Zaag, H.3
-
20
-
-
34248170756
-
Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology
-
Guarguaglini F.R., and Natalini R. Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology. Commun. Pure Appl. Anal. 6 (2007) 287-309
-
(2007)
Commun. Pure Appl. Anal.
, vol.6
, pp. 287-309
-
-
Guarguaglini, F.R.1
Natalini, R.2
-
21
-
-
6444228071
-
Mathematical analysis and stability of a chemotaxis model with logistic term
-
Tello J.I. Mathematical analysis and stability of a chemotaxis model with logistic term. Math. Methods Appl. Sci. 27 (2004) 1865-1880
-
(2004)
Math. Methods Appl. Sci.
, vol.27
, pp. 1865-1880
-
-
Tello, J.I.1
-
22
-
-
0036433997
-
Mathematical analysis of a model for the initiation of angiogenesis
-
Fontelos M.A., Friedman A., and Hu B. Mathematical analysis of a model for the initiation of angiogenesis. SIAM J. Math. Anal. 33 (2002) 1330-1355
-
(2002)
SIAM J. Math. Anal.
, vol.33
, pp. 1330-1355
-
-
Fontelos, M.A.1
Friedman, A.2
Hu, B.3
-
23
-
-
0036700354
-
Stability of solutions of chemotaxis equations in reinforced random walks
-
Friedman A., and Tello J.I. Stability of solutions of chemotaxis equations in reinforced random walks. J. Math. Anal. Appl. 272 (2002) 138-163
-
(2002)
J. Math. Anal. Appl.
, vol.272
, pp. 138-163
-
-
Friedman, A.1
Tello, J.I.2
-
24
-
-
0032445844
-
Global behaviour of a reaction-diffusion system modelling chemotaxis
-
Gajewski H., and Zacharias K. Global behaviour of a reaction-diffusion system modelling chemotaxis. Math. Nachr. 195 (1998) 77-114
-
(1998)
Math. Nachr.
, vol.195
, pp. 77-114
-
-
Gajewski, H.1
Zacharias, K.2
-
25
-
-
0005525774
-
p estimates for a class of reaction-diffusion systems
-
p estimates for a class of reaction-diffusion systems. Colloq. Math. 87 (2001) 113-127
-
(2001)
Colloq. Math.
, vol.87
, pp. 113-127
-
-
Horstmann, D.1
-
27
-
-
33746512204
-
A weighted symmetrization for nonlinear elliptic and parabolic equations in inhomogeneous media
-
Reyes G., and Vázquez J.L. A weighted symmetrization for nonlinear elliptic and parabolic equations in inhomogeneous media. J. Eur. Math. Soc. 8 (2006) 531-554
-
(2006)
J. Eur. Math. Soc.
, vol.8
, pp. 531-554
-
-
Reyes, G.1
Vázquez, J.L.2
-
28
-
-
0040232585
-
On the time-dependent drift-diffusion model for semiconductors
-
Fang W., and Ito K. On the time-dependent drift-diffusion model for semiconductors. J. Differential Equations 117 (1995) 245-280
-
(1995)
J. Differential Equations
, vol.117
, pp. 245-280
-
-
Fang, W.1
Ito, K.2
-
29
-
-
84914830669
-
p bounds of solutions of reaction-diffusion equations
-
p bounds of solutions of reaction-diffusion equations. Comm. Partial Differential Equations 4 (1979) 827-868
-
(1979)
Comm. Partial Differential Equations
, vol.4
, pp. 827-868
-
-
Alikakos, N.D.1
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