-
1
-
-
0002011401
-
The chemical basis of morphogenesis
-
Turing, A. M. The chemical basis of morphogenesis. Phil Trans. R. Soc. Lond. B 237, 37 (1952
-
(1952)
Phil Trans. R. Soc. Lond. B
, vol.237
, pp. 37
-
-
Turing, A.M.1
-
2
-
-
0018224543
-
On a diffusive prey-predator model which exhibits patchiness
-
Mimura, M. & Murray, J. D. On a diffusive prey-predator model which exhibits patchiness. J. Theor. Biol. 75, 249 (1978
-
(1978)
J. Theor. Biol.
, vol.75
, pp. 249
-
-
Mimura, M.1
Murray, J.D.2
-
3
-
-
0030697159
-
Spatial pattern formation in an insect hostparasitoid system
-
Maron, J. L. & Harrison, S. Spatial pattern formation in an insect hostparasitoid system. Science 278, 1619 (1997
-
(1997)
Science
, vol.278
, pp. 1619
-
-
Maron, J.L.1
Harrison, S.2
-
4
-
-
33847055875
-
Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
-
Baurmann, M., Gross, T. & Feudel, U. Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations. J. Theor. Biol. 245, 220 (2007
-
(2007)
J. Theor. Biol.
, vol.245
, pp. 220
-
-
Baurmann, M.1
Gross, T.2
Feudel, U.3
-
5
-
-
40049087110
-
Regular pattern formation in real ecosystems
-
Rietkerk, M. & van de Koppel, J. Regular pattern formation in real ecosystems. Trends Ecol. Evol. 23, 169 (2008
-
(2008)
Trends Ecol. Evol.
, vol.23
, pp. 169
-
-
Rietkerk, M.1
Van De Koppel, J.2
-
6
-
-
0033868140
-
Pattern formation by local self-Activation and lateral inhibition
-
Meinhardt, H. & Gierer, A. Pattern formation by local self-Activation and lateral inhibition. BioEssays 22, 753 (2000
-
(2000)
BioEssays
, vol.22
, pp. 753
-
-
Meinhardt, H.1
Gierer, A.2
-
7
-
-
23844501009
-
Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching
-
Harris, M. P., Williamson, S., Fallon, J. F., Meinhardt, H. & Prum, R. O. Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching. Proc. Natl Acad. Sci. USA 102, 11734 (2005
-
(2005)
Proc. Natl Acad. Sci. USA
, vol.102
, pp. 11734
-
-
Harris, M.P.1
Williamson, S.2
Fallon, J.F.3
Meinhardt, H.4
Prum, R.O.5
-
8
-
-
33845326442
-
The Turing model comes of molecular age
-
Maini, P. K., Baker, R. E. & Chuong, C.-M. The Turing model comes of molecular age. Science 314, 1397 (2006
-
(2006)
Science
, vol.314
, pp. 1397
-
-
Maini, P.K.1
Baker, R.2
Chuong, C.-M.3
-
9
-
-
38749127991
-
Activator-inhibitor dynamics of vertebrate limb pattern formation
-
Newman, S. A. & Bhat, R. Activator-inhibitor dynamics of vertebrate limb pattern formation. Birth Defects Res. (Part C) 81, 305 (2007
-
(2007)
Birth Defects Res. (Part C)
, vol.81
, pp. 305
-
-
Newman, S.A.1
Bhat, R.2
-
10
-
-
0033624927
-
TGFb2 acts as an ''activator'' molecule in reactiondiffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture
-
Miura, T. & Shiota, K. TGFb2 acts as an ''activator'' molecule in reactiondiffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture. Dev. Dyn. 217, 241 (2000
-
(2000)
Dev. Dyn.
, vol.217
, pp. 241
-
-
Miura, T.1
Shiota, K.2
-
12
-
-
33845215899
-
Turing instability and pattern formation in a two-population neuronal network model
-
DOI 10.1016/j.physd.2006.10.004, PII S0167278906004039
-
Wyller, J., Blomquist, P. & Einevoll, G.T. Turing instability and pattern formation in a two-population neuronal network model. Phys. D 225, 75-93 (2007 (Pubitemid 44854235)
-
(2007)
Physica D: Nonlinear Phenomena
, vol.225
, Issue.1
, pp. 75-93
-
-
Wyller, J.1
Blomquist, P.2
Einevoll, G.T.3
-
13
-
-
0000732678
-
Pattern formation arising from wave instability in a simple reaction-diffusion system
-
Zhabotinsky, A. M., Dolnik, M. & Epstein, I. R. Pattern formation arising from wave instability in a simple reaction-diffusion system. J. Chem. Phys. 103, 10306 (1995
-
(1995)
J. Chem. Phys.
, vol.103
, pp. 10306
-
-
Zhabotinsky, A.M.1
Dolnik, M.2
Epstein, I.R.3
-
14
-
-
0015128941
-
Instability and dynamic pattern in cellular networks
-
Othmer, H. G. & Scriven, L. E. Instability and dynamic pattern in cellular networks. J. Theor. Biol. 32, 507-537 (1971
-
(1971)
J. Theor. Biol.
, vol.32
, pp. 507-537
-
-
Othmer, H.G.1
Scriven, L.2
-
15
-
-
0015944632
-
Non-linear aspects of dynamic pattern in cellular networks
-
Othmer, H. G. & Scriven, L. E. Non-linear aspects of dynamic pattern in cellular networks. J. Theor. Biol. 43, 83-112 (1974
-
(1974)
J. Theor. Biol.
, vol.43
, pp. 83-112
-
-
Othmer, H.G.1
Scriven, L.E.2
-
16
-
-
0034277972
-
Local stability analysis of spatially homogeneous solutions of multi-patch systems
-
Jansen, V. A. A. & Lloyd, A. L. Local stability analysis of spatially homogeneous solutions of multi-patch systems. J. Math. Biol. 41, 232-252 (2000
-
(2000)
J. Math. Biol
, vol.41
, pp. 232-252
-
-
Jansen, V.A.A.1
Lloyd, A.L.2
-
17
-
-
0035515957
-
Pattern formation in discrete cell lattices
-
Plahte, E. Pattern formation in discrete cell lattices. J. Math. Biol. 43, 411-445 (2001 (Pubitemid 33772403)
-
(2001)
Journal of Mathematical Biology
, vol.43
, Issue.5
, pp. 411-445
-
-
Plahte, E.1
-
18
-
-
19944388966
-
Localized patterns in homogeneous networks of diffusively coupled reactors
-
DOI 10.1016/j.physd.2005.05.002, PII S0167278905001740
-
Moore, P. K. & Horsthemke, W. Localized patterns in homogeneous networks of diffusively coupled reactors. Phys. D 206, 121-144 (2005 (Pubitemid 40753415)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.206
, Issue.1-2
, pp. 121-144
-
-
Moore, P.K.1
Horsthemke, W.2
-
19
-
-
77954332519
-
Turing patterns in network-organized activatorinhibitor systems
-
Nakao, H. & Mikhailov, A. S. Turing patterns in network-organized activatorinhibitor systems. Nat. Phys. 6, 544 (2010
-
(2010)
Nat. Phys.
, vol.6
, pp. 544
-
-
Nakao, H.1
Mikhailov, A.S.2
-
20
-
-
84888357031
-
The linear noise approximation for reaction-diffusion systems on networks
-
Asllani, M., Biancalani, T., Fanelli, D. & McKane, A. The linear noise approximation for reaction-diffusion systems on networks. Eur. Phys. J. B 86, 476 (2013
-
(2013)
Eur. Phys. J. B
, vol.86
, pp. 476
-
-
Asllani, M.1
Biancalani, T.2
Fanelli, D.3
McKane, A.4
-
21
-
-
84875525984
-
Pattern formation on networks with reactions: A continuous-time random-walk approach
-
Angstmann, C. N., Donnelly, I. C. & Henry, B. I. Pattern formation on networks with reactions: A continuous-time random-walk approach. Phys. Rev. E 87, 032804 (2013
-
(2013)
Phys. Rev. E
, vol.87
, pp. 032804
-
-
Angstmann, C.N.1
Donnelly, I.C.2
Henry, B.I.3
-
24
-
-
80555156744
-
The big and the small: Challenges of imaging the brain's circuits
-
Lichtman, J. W. & Denk, W. The big and the small: challenges of imaging the brain's circuits. Science 334, 618 (2011
-
(2011)
Science
, vol.334
, pp. 618
-
-
Lichtman, J.W.1
Denk, W.2
-
25
-
-
31144436747
-
The human connectome: A structural description of the human brain
-
Sporns, O., Tononi, G. & Kötter, R. The human connectome: a structural description of the human brain. PloS Comp. Biol. 1, e42 (2005
-
(2005)
PloS Comp. Biol.
, vol.1
-
-
Sporns, O.1
Tononi, G.2
Kötter, R.3
-
28
-
-
80051652391
-
Stochastic waves in a Brusselator model with nonlocal interaction
-
Biancalani, T., Galla, T. & McKane, A. J. Stochastic waves in a Brusselator model with nonlocal interaction. Phys. Rev. E 84, 026201 (2011
-
(2011)
Phys. Rev. E
, vol.84
, pp. 026201
-
-
Biancalani, T.1
Galla, T.2
McKane, A.J.3
-
29
-
-
4644244041
-
Consensus problems in networks of agents with switching topology and time-delays
-
Olfati-Saber, R. & Murray, R. M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Auto. Control 49, 1520-1533 (2004
-
(2004)
IEEE Trans. Auto. Control
, vol.49
, pp. 1520-1533
-
-
Olfati-Saber, R.1
Murray, R.M.2
-
30
-
-
41549119861
-
On the spectrum of the normalized graph Laplacian
-
Banerjee, A. & Jost, J. On the spectrum of the normalized graph Laplacian. Linear Algebra Appl. 428, 3015-3022 (2008
-
(2008)
Linear Algebra Appl.
, vol.428
, pp. 3015-3022
-
-
Banerjee, A.1
Jost, J.2
-
31
-
-
84884145344
-
Continuous-time random walks on networks with vertex-And time-dependent forcing
-
Angstmann, C. N., Donnelly, I. C., Henry, B. I. & Langlands, T. A. M. Continuous-time random walks on networks with vertex-And time-dependent forcing. Phys. Rev. E 88, 022811 (2013
-
(2013)
Phys. Rev. E
, vol.88
, pp. 022811
-
-
Angstmann, C.N.1
Donnelly, I.C.2
Henry, B.I.3
Langlands, M.T.A.4
-
32
-
-
79960174908
-
Transient growth induces unexpected deterministic spatial patterns in the Turing process
-
Ridolfi, L., Camporeale, C., D'Odorico, P. & Laio, F. Transient growth induces unexpected deterministic spatial patterns in the Turing process. Europhys. Lett. 95, 18003 (2011
-
(2011)
Europhys. Lett.
, vol.95
, pp. 18003
-
-
Ridolfi, L.1
Camporeale, C.2
D'Odorico, P.3
Laio, F.4
-
33
-
-
0042359722
-
E Gershgorin's theorem and the zeros of polynomials
-
Bell, H. E Gershgorin's theorem and the zeros of polynomials. Am. Math. Monthly 72, 292-295 (1965
-
(1965)
Am. Math. Monthly
, vol.72
, pp. 292-295
-
-
Bell, H.1
-
34
-
-
0032482432
-
Collective dynamics of 'small-world' networks
-
DOI 10.1038/30918
-
Watts, D. J. & Strogatz, S. H. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998 (Pubitemid 28292183)
-
(1998)
Nature
, vol.393
, Issue.6684
, pp. 440-442
-
-
Watts, D.J.1
Strogatz, S.H.2
-
35
-
-
0033487710
-
Scaling and percolation in the small-world network model
-
Newman, M. E. J. & Watts, D. J. Scaling and percolation in the small-world network model. Phys. Rev. E 60, 7332-7342 (1999 (Pubitemid 129651388)
-
(1999)
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
, vol.60
, Issue.6 B
, pp. 7332-7342
-
-
Newman, M.E.J.1
Watts, D.J.2
-
36
-
-
4243241129
-
Master stability functions for synchronized coupled systems
-
Pecora, L. M. & Carroll, T. L. Master stability functions for synchronized coupled systems. Phys. Rev. Lett. 80, 2109-2112 (1998 (Pubitemid 128621504)
-
(1998)
Physical Review Letters
, vol.80
, Issue.10
, pp. 2109-2112
-
-
Pecora, L.M.1
Carroll, T.L.2
-
37
-
-
0038718854
-
The structure and function of complex networks
-
Newman, M. E. J. The structure and function of complex networks. SIAM Rev. 45, 167-256 (2003).
-
(2003)
SIAM Rev.
, vol.45
, pp. 167-256
-
-
Newman, M.E.J.1
|