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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 4, 2012, Pages

Stochastic turing patterns on a network

(3) Asslani, Malbor a Di Patti, Francesca b,c Fanelli, Duccio b,c

a UNIVERSITY OF INSUBRIA (Italy)

b UNIVERSITY OF FLORENCE (Italy)

c INFN SEZIONE DI FIRENZE (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BRUSSELATORS; FINITE-SIZE CORRECTIONS; SCALE FREE NETWORKS; STOCHASTIC SIMULATIONS; TURING INSTABILITY; TURING PATTERNS;

STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

EID: 84867522559 PISSN: 15393755 EISSN: 15502376 Source Type: Journal
DOI: 10.1103/PhysRevE.86.046105 Document Type: Article

Times cited : (44)

References (28)

1
- 0002011401
- PTRBAE 0962-8436 10.1098/rstb.1952.0012
- A. M. Turing, Philos. Trans. R. Soc. London Ser. B PTRBAE 0962-8436 10.1098/rstb.1952.0012 237, 37 (1952).
- (1952) Philos. Trans. R. Soc. London Ser. B , vol.237 , pp. 37
- Turing, A.M.¹

2
- 36849102494
- JCPSA6 0021-9606 10.1063/1.1668896
- I. Prigogine and R. Lefever, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1668896 48, 1695 (1968).
- (1968) J. Chem. Phys. , vol.48 , pp. 1695
- Prigogine, I.¹ Lefever, R.²

3
- 5544250703
- PRLTAO 0031-9007 10.1103/PhysRevLett.64.2953
- V. Castets, E. Dulos, J. Boissonade, and P. De Kepper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2953 64, 2953 (1990).
- (1990) Phys. Rev. Lett. , vol.64 , pp. 2953
- Castets, V.¹ Dulos, E.² Boissonade, J.³ De Kepper, P.⁴

4
- 34047187677
- NATUAS 0028-0836 10.1038/352610a0
- Q. Ouyang and H. L. Swinney, Nature (London) NATUAS 0028-0836 10.1038/352610a0 352, 610 (1991).
- (1991) Nature (London) , vol.352 , pp. 610
- Ouyang, Q.¹ Swinney, H.L.²

5
- 0033868140
- Pattern formation by local self-activation and lateral inhibition
- DOI 10.1002/1521-1878(200008)22:8<753::AID-BIES9>3.0.CO;2-Z
- H. Meinhardt and A. Gierer, BioEssays BIOEEJ 0265-9247 10.1002/1521-1878(200008)22:8<753::AID-BIES9>3.0.CO;2-Z 22, 753 (2000). (Pubitemid 30613307)
- (2000) BioEssays , vol.22 , Issue.8 , pp. 753-760
- Meinhardt, H.¹ Gierer, A.²

6
- 23844501009
- Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching
- DOI 10.1073/pnas.0500781102
- M. P. Harris, S. Williamson, J. F. Fallon, H. Meinhardt, and R. O. Prum, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0500781102 102, 11734 (2005). (Pubitemid 41170795)
- (2005) Proceedings of the National Academy of Sciences of the United States of America , vol.102 , Issue.33 , pp. 11734-11739
- Harris, M.P.¹ Williamson, S.² Fallon, J.F.³ Meinhardt, H.⁴ Prum, R.O.⁵

7
- 33845326442
- The turing model comes of molecular age
- DOI 10.1126/science.1136396
- P. K. Maini, R. E. Baker, and C. M. Chuong, Science SCIEAS 0036-8075 10.1126/science.1136396 314, 1397 (2006). (Pubitemid 44871932)
- (2006) Science , vol.314 , Issue.5804 , pp. 1397-1398
- Maini, P.K.¹ Baker, R.E.² Chuong, C.-M.³

8
- 38749127991
- Activator-inhibitor dynamics of vertebrate limb pattern formation
- DOI 10.1002/bdrc.20112
- S. A. Newman and R. Bhat, Birth Defects Res. C 1542-975X 10.1002/bdrc.20112 81, 305 (2007). (Pubitemid 351186178)
- (2007) Birth Defects Research Part C - Embryo Today: Reviews , vol.81 , Issue.4 , pp. 305-319
- Newman, S.A.¹ Bhat, R.²

9
- 0033624927
- TGFβ2 acts as an 'activator' molecule in reaction-diffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture
- DOI 10.1002/(SICI)1097-0177(200003)217:3<241::AID-DVDY2>3.0.CO;2-K
- T. Miura and K. Shiota, Dev. Dyn. 1058-8388 10.1002/(SICI)1097- 0177(200003)217:3<241::AID-DVDY2>3.0.CO;2-K 217, 241 (2000). (Pubitemid 30131989)
- (2000) Developmental Dynamics , vol.217 , Issue.3 , pp. 241-249
- Miura, T.¹ Shiota, K.²

10
- 0018224543
- JTBIAP 0022-5193 10.1016/0022-5193(78)90332-6
- M. Mimura and J. D. Murray, J. Theor. Biol. JTBIAP 0022-5193 10.1016/0022-5193(78)90332-6 75, 249 (1978).
- (1978) J. Theor. Biol. , vol.75 , pp. 249
- Mimura, M.¹ Murray, J.D.²

11
- 0030697159
- Spatial pattern formation in an insect host-parasitoid system
- DOI 10.1126/science.278.5343.1619
- J. L. Maron and S. Harrison, Science SCIEAS 0036-8075 10.1126/science.278.5343.1619 278, 1619 (1997). (Pubitemid 27516279)
- (1997) Science , vol.278 , Issue.5343 , pp. 1619-1621
- Maron, J.L.¹ Harrison, S.²

12
- 33847055875
- Instabilities in spatially extended predator-prey systems: Spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- DOI 10.1016/j.jtbi.2006.09.036, PII S0022519306004280
- M. Baurmann, T. Gross, and U. Feudel, J. Theor. Biol. JTBIAP 0022-5193 10.1016/j.jtbi.2006.09.036 245, 220 (2007). (Pubitemid 46275747)
- (2007) Journal of Theoretical Biology , vol.245 , Issue.2 , pp. 220-229
- Baurmann, M.¹ Gross, T.² Feudel, U.³

13
- 40049087110
- Regular pattern formation in real ecosystems
- DOI 10.1016/j.tree.2007.10.013, PII S0169534708000281
- M. Rietkerk and J. van de Koppel, Trends Ecol. Evol. TREEEQ 0169-5347 10.1016/j.tree.2007.10.013 23, 169 (2008). (Pubitemid 351323977)
- (2008) Trends in Ecology and Evolution , vol.23 , Issue.3 , pp. 169-175
- Rietkerk, M.¹ Van De Koppel, J.²

14
- 27744447482
- Predator-prey cycles from resonant amplification of demographic stochasticity
- DOI 10.1103/PhysRevLett.94.218102, 218102
- A. J. McKane and T. J. Newman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.218102 94, 218102 (2005). (Pubitemid 41636711)
- (2005) Physical Review Letters , vol.94 , Issue.21 , pp. 1-4
- McKane, A.J.¹ Newman, T.J.²

15
- 70349765696
- PLEEE8 1539-3755 10.1103/PhysRevE.80.030902
- T. Butler and N. Goldenfeld, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.030902 80, 030902 (R) (2009).
- (2009) Phys. Rev. e , vol.80 , pp. 030902
- Butler, T.¹ Goldenfeld, N.²

16
- 77951729032
- PLEEE8 1539-3755 10.1103/PhysRevE.81.046215
- T. Biancalani, D. Fanelli, and F. Di Patti, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.046215 81, 046215 (2010).
- (2010) Phys. Rev. e , vol.81 , pp. 046215
- Biancalani, T.¹ Fanelli, D.² Di Patti, F.³

17
- 80155137487
- PLEEE8 1539-3755 10.1103/PhysRevE.84.046216
- T. E. Woolley, R. E. Baker, E. A. Gaffney, and P. K. Maini, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.046216 84, 046216 (2011).
- (2011) Phys. Rev. e , vol.84 , pp. 046216
- Woolley, T.E.¹ Baker, R.E.² Gaffney, E.A.³ Maini, P.K.⁴

18
- 77954332519
- 1745-2473 10.1038/nphys1651
- H. Nakao and A. S. Mikhailov, Nat. Phys. 1745-2473 10.1038/nphys1651 6, 544 (2010).
- (2010) Nat. Phys. , vol.6 , pp. 544
- Nakao, H.¹ Mikhailov, A.S.²

19
- 0015944632
- JTBIAP 0022-5193 10.1016/S0022-5193(74)80047-0
- H. G. Othmer and L. E. Scriven, J. Theor. Biol. JTBIAP 0022-5193 10.1016/S0022-5193(74)80047-0 43, 83 (1974).
- (1974) J. Theor. Biol. , vol.43 , pp. 83
- Othmer, H.G.¹ Scriven, L.E.²

20
- 77954320136
- 1745-2473 10.1038/nphys1722
- R. Pastor-Satorras and A. Vespignani, Nat. Phys. 1745-2473 10.1038/nphys1722 6, 480 (2010).
- (2010) Nat. Phys. , vol.6 , pp. 480
- Pastor-Satorras, R.¹ Vespignani, A.²

21
- 77955638016
- PLEEE8 1539-3755 10.1103/PhysRevE.82.021113
- D. Fanelli and A. J. McKane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.021113 82, 021113 (2010).
- (2010) Phys. Rev. e , vol.82 , pp. 021113
- Fanelli, D.¹ McKane, A.J.²

22
- 56749095462
- PLEEE8 1539-3755 10.1103/PhysRevE.78.051911
- C. A. Lugo and A. J. McKane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.051911 78, 051911 (2008).
- (2008) Phys. Rev. e , vol.78 , pp. 051911
- Lugo, C.A.¹ McKane, A.J.²

23
- 80051652391
- PLEEE8 1539-3755 10.1103/PhysRevE.84.026201
- T. Biancalani, T. Galla, and A. J. McKane, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.026201 84, 026201 (2011).
- (2011) Phys. Rev. e , vol.84 , pp. 026201
- Biancalani, T.¹ Galla, T.² McKane, A.J.³

24
- 85010985264
- North-Holland, Amsterdam
- N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1992).
- (1992) Stochastic Processes in Physics and Chemistry
- Van Kampen, N.G.¹

25
- 0004300111
- Springer, Berlin
- C. W. Gardiner, Handbook of Stochastic Methods, 2nd ed. (Springer, Berlin, 1985).
- (1985) Handbook of Stochastic Methods
- Gardiner, C.W.¹

26
- 0038483826
- SCIEAS 0036-8075 10.1126/science.286.5439.509
- A. Barabási and R. Albert, Science SCIEAS 0036-8075 10.1126/science.286.5439.509 286, 509 (1999).
- (1999) Science , vol.286 , pp. 509
- Barabási, A.¹ Albert, R.²

27
- 0017030517
- A general method for numerically simulating the stochastic time evolution of coupled chemical reactions
- DOI 10.1016/0021-9991(76)90041-3
- D. T. Gillespie, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(76) 90041-3 22, 403 (1976). (Pubitemid 8008311)
- (1976) Journal of Computational Physics , vol.22 , Issue.4 , pp. 403-434
- Gillepsie, D.T.¹

28
- 84867516875
- See Supplemental Material at
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevE.86.046105 for movies of the deterministic and stochastic dynamics and for some details about the analytical calculations.

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