-
1
-
-
0032170064
-
Continuous and discrete mathematical models of tumour-induced angiogenesis
-
Anderson, A. R. A. & Chaplain, M. A. (1998) Continuous and discrete mathematical models of tumour-induced angiogenesis. Bull. Math. Biol., 60, 857-900.
-
(1998)
Bull. Math. Biol
, vol.60
, pp. 857-900
-
-
Anderson, A.R.A.1
Chaplain, M.A.2
-
2
-
-
47549094092
-
Stochastic geometric models, and related statistical issues in tumour-induced angiogenesis
-
Capasso, V., Micheletti, A. & Morale, D. (2008) Stochastic geometric models, and related statistical issues in tumour-induced angiogenesis. Math. Biosci., 214, 20-31.
-
(2008)
Math. Biosci
, vol.214
, pp. 20-31
-
-
Capasso, V.1
Micheletti, A.2
Morale, D.3
-
3
-
-
70449515071
-
Asymptotic behavior of a system of stochastic particles subject to nonlocal interactions
-
Capasso, V. & Morale, D. (2009a) Asymptotic behavior of a system of stochastic particles subject to nonlocal interactions. Stochast. Anal. Appl., 27, 574-603.
-
(2009)
Stochast. Anal. Appl
, vol.27
, pp. 574-603
-
-
Capasso, V.1
Morale, D.2
-
4
-
-
63249119539
-
Stochastic modelling of tumour-induced angiogenesis
-
Capasso, V. & Morale, D. (2009b) Stochastic modelling of tumour-induced angiogenesis. J. Math. Biol., 58, 219-233.
-
(2009)
J. Math. Biol
, vol.58
, pp. 219-233
-
-
Capasso, V.1
Morale, D.2
-
5
-
-
34547313699
-
Invasion and adaptive evolution for individual-based spatially structured populations
-
Champagnat & Méléard
-
Champagnat & Méléard (2007) Invasion and adaptive evolution for individual-based spatially structured populations. J. Math. Biol., 55, 147-188.
-
(2007)
J. Math. Biol
, vol.55
, pp. 147-188
-
-
-
7
-
-
33947330375
-
Development of retinal vasculature
-
Fruttiger, M. (2007) Development of retinal vasculature. Angiogenesis, 10, 177-188.
-
(2007)
Angiogenesis
, vol.10
, pp. 177-188
-
-
Fruttiger, M.1
-
8
-
-
0034687236
-
Platelet derived growth factor is constituvely secreted from neuronal cells bodies but not from axons
-
Fruttiger, M., Calver, A. R. & Richardson,W. D. (2000) Platelet derived growth factor is constituvely secreted from neuronal cells bodies but not from axons. Curr. Biol., 10, 1283-1286.
-
(2000)
Curr. Biol
, vol.10
, pp. 1283-1286
-
-
Fruttiger, M.1
Calver, A.R.2
Richardsonw, D.3
-
9
-
-
30744476478
-
Retinal angiogenesis in development and disease
-
Gariano, R. F. & Gardner, T.W. (2003) Retinal angiogenesis in development and disease. Nature, 438, 960-966.
-
(2003)
Nature
, vol.438
, pp. 960-966
-
-
Gariano, R.F.1
Gardner, T.W.2
-
10
-
-
0037815292
-
VEGF guides angiogenic sprouting utilizing tip cell filopodia
-
Gerhardt, H., Golding, M., Fruttiger, M., Ruhrberg, C., Lundvkvist, A., Abramsson, A., Jeltsch, M., Mitchell, C., Alitao, K., Shima, D. & Betsholtz, C. (2003) VEGF guides angiogenic sprouting utilizing tip cell filopodia. J. Cell Biol., 161, 1163-1177.
-
(2003)
J. Cell Biol
, vol.161
, pp. 1163-1177
-
-
Gerhardt, H.1
Golding, M.2
Fruttiger, M.3
Ruhrberg, C.4
Lundvkvist, A.5
Abramsson, A.6
Jeltsch, M.7
Mitchell, C.8
Alitao, K.9
Shima, D.10
Betsholtz, C.11
-
12
-
-
13844298300
-
An interacting particle system modelling aggregation behavior: From individuals to populations
-
Morale, D., Capasso, V. & Ölschlaeger, K. (2005) An interacting particle system modelling aggregation behavior: from individuals to populations. J. Math. Biol., 50, 49-66.
-
(2005)
J. Math. Biol
, vol.50
, pp. 49-66
-
-
Morale, D.1
Capasso, V.2
Ölschlaeger, K.3
-
13
-
-
0005500243
-
On the derivation of reaction-diffusion equations as lilit dynamics of systems of moderately interacting stochastic processes
-
Oelschläger, K. (1989) On the derivation of reaction-diffusion equations as lilit dynamics of systems of moderately interacting stochastic processes. Probab. Theory Related Fields, 82, 565-586.
-
(1989)
Probab. Theory Related Fields
, vol.82
, pp. 565-586
-
-
Oelschläger, K.1
-
14
-
-
0042863949
-
A reinforced random walk model of tumour angiogenesis and antiangiogenic strategies
-
Plank, M. J. & Sleeman, B. D. (2003) A reinforced random walk model of tumour angiogenesis and antiangiogenic strategies. IMA Math. Med. Biol., 20, 135-181.
-
(2003)
IMA Math. Med. Biol
, vol.20
, pp. 135-181
-
-
Plank, M.J.1
Sleeman, B.D.2
-
15
-
-
7444258529
-
Lattice and non-lattice models of tumour angiogenesis
-
Plank, M. J. & Sleeman, B. D. (2004) Lattice and non-lattice models of tumour angiogenesis. Bull. Math. Biol., 66, 1785-1819.
-
(2004)
Bull. Math. Biol
, vol.66
, pp. 1785-1819
-
-
Plank, M.J.1
Sleeman, B.D.2
-
16
-
-
79953240058
-
Hybrid models of tumor growth Wiley Interdisciplinary Rev
-
doi:10.1002/wsbm.102
-
Rejniak, K. A. & Anderson, A. R. A. (2011) Hybrid models of tumor growth. Wiley Interdisciplinary Rev. Syst. Biol. Med., 3, 115-125. doi:10.1002/wsbm.102
-
(2011)
Syst. Biol. Med
, vol.3
, pp. 115-125
-
-
Rejniak, K.A.1
Anderson, A.R.A.2
-
17
-
-
33748070513
-
Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis
-
Stéphanou, A., McDougall, S. R., Anderson, A. R. A. & Chaplain, M. A. J. (2006) Mathematical modelling of the influence of blood rheological properties upon adaptative tumour-induced angiogenesis. Math. Comput. Modell., 44, 96-123.
-
(2006)
Math. Comput. Modell
, vol.44
, pp. 96-123
-
-
Stéphanou, A.1
McDougall, S.R.2
Anderson, A.R.A.3
Chaplain, M.A.J.4
-
18
-
-
0029074024
-
Development of retinal vasculature is mediated by hypoxia?U induced vascular endothelial growth factor (VEGF)
-
Stone, J., Itin, A., Alon, T., Peter, J., Gnessin, H., Chan-Ling T. & Keshet E. (1995) Development of retinal vasculature is mediated by hypoxia?U induced vascular endothelial growth factor (VEGF). J. Neurosci., 15, 4738-4747.
-
(1995)
J. Neurosci
, vol.15
, pp. 4738-4747
-
-
Stone, J.1
Itin, A.2
Alon, T.3
Peter, J.4
Gnessin, H.5
Chan-Ling, T.6
Keshet, E.7
-
19
-
-
13744260837
-
A deterministic model of growth factorinduced angiogenesis
-
Sun, S.,Wheeler, M. F., Obeyesekere, M. & Patrick Jr, C.W. (2005a) A deterministic model of growth factorinduced angiogenesis. Bull. Math. Biol., 67, 313-337.
-
(2005)
Bull. Math. Biol
, vol.67
, pp. 313-337
-
-
Sun, S.1
Wheeler, M.F.2
Obeyesekere, M.3
Patrick Jr., C.W.4
-
20
-
-
33845584674
-
A Multiscale angiogenesis modeling using mixed finite element methods
-
Sun, S., Wheeler, M. F., Obeyesekere, M. & Patrick Jr, C.W. (2005b) A Multiscale angiogenesis modeling using mixed finite element methods. SIAM Multiscale Model. Simul., 4, 1137-1167.
-
(2005)
SIAM Multiscale Model. Simul
, vol.4
, pp. 1137-1167
-
-
Sun, S.1
Wheeler, M.F.2
Obeyesekere, M.3
Patrick Jr., C.W.4
-
21
-
-
0001105004
-
Topics in propagation of chaos. Ecole d'Ete de Probabilites de Saint-Flour XIX, 1989
-
Berlin Springer
-
Sznitman, A. S. (1991) Topics in propagation of chaos. Ecole d'Ete de Probabilites de Saint-Flour XIX, 1989. Lecture Notes in Mathematics, vol. 1464. Berlin: Springer, pp. 165-251.
-
(1991)
Lecture Notes in Mathematics
, vol.1464
, pp. 165-251
-
-
Sznitman, A.S.1
-
22
-
-
18844424905
-
Stabilization of the retinal vascular network by reciprocal feedback between blood vessel and astrocytes
-
West, H., Richardson, W. D. & Fruttiger, M. (2005) Stabilization of the retinal vascular network by reciprocal feedback between blood vessel and astrocytes. Development, 132, 1855-1862.
-
(2005)
Development
, vol.132
, pp. 1855-1862
-
-
West, H.1
Richardson, W.D.2
Fruttiger, M.3
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