Global feedback control of Turing patterns in network-organized activator-inhibitor systems
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[1] Alessandro Vespignani,et al. Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations. , 2007, Journal of theoretical biology.
[2] H. Meinhardt,et al. Pattern formation by local self-activation and lateral inhibition. , 2000, BioEssays : news and reviews in molecular, cellular and developmental biology.
[3] Alexander S Mikhailov,et al. Diffusion-induced instability and chaos in random oscillator networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[4] H. Swinney,et al. Transition from a uniform state to hexagonal and striped Turing patterns , 1991, Nature.
[5] Maron,et al. Spatial pattern formation in an insect host-parasitoid system , 1997, Science.
[6] Alessandro Vespignani,et al. Dynamical Processes on Complex Networks , 2008 .
[7] Mat E. Barnet,et al. A synthetic Escherichia coli predator–prey ecosystem , 2008, Molecular systems biology.
[8] Peter K. Moore,et al. Localized patterns in homogeneous networks of diffusively coupled reactors , 2005 .
[9] F. Bignone. Structural Complexity of Early Embryos: A Study on the Nematode Caenorhabditis elegans , 2001, Journal of biological physics.
[10] Dean L Urban,et al. A Graph‐Theory Framework for Evaluating Landscape Connectivity and Conservation Planning , 2008, Conservation biology : the journal of the Society for Conservation Biology.
[11] Jurgen Kurths,et al. Synchronization in complex networks , 2008, 0805.2976.
[12] Albert,et al. Emergence of scaling in random networks , 1999, Science.
[13] T. Ichinomiya. Frequency synchronization in a random oscillator network. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[14] Albert-László Barabási,et al. Statistical mechanics of complex networks , 2001, ArXiv.
[15] Hans Meinhardt,et al. Global cell sorting in the C. elegans embryo defines a new mechanism for pattern formation. , 2006, Developmental biology.
[16] P. Mikhailov,et al. Foundations of Synergetics II , 1996, Springer Series in Synergetics.
[17] A. Motter,et al. Ensemble averageability in network spectra. , 2007, Physical review letters.
[18] Alessandro Vespignani,et al. Epidemic spreading in scale-free networks. , 2000, Physical review letters.
[19] M. Tabor. Chaos and Integrability in Nonlinear Dynamics: An Introduction , 1989 .
[20] Dulos,et al. Experimental evidence of a sustained standing Turing-type nonequilibrium chemical pattern. , 1990, Physical review letters.
[21] Owe Orwar,et al. Molecular engineering: Networks of nanotubes and containers , 2001, Nature.
[22] Sano,et al. Proportion regulation of biological cells in globally coupled nonlinear systems. , 1995, Physical review letters.
[23] Johan van de Koppel,et al. Regular pattern formation in real ecosystems. , 2008, Trends in ecology & evolution.
[24] I. Hanski. Metapopulation dynamics , 1998, Nature.
[25] Neubecker,et al. Experimental control of unstable patterns and elimination of spatiotemporal disorder in nonlinear optics , 2000, Physical review letters.
[26] S. N. Dorogovtsev,et al. Spectra of complex networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.
[27] M. Mimura,et al. On a diffusive prey--predator model which exhibits patchiness. , 1978, Journal of theoretical biology.
[28] S. N. Dorogovtsev,et al. Laplacian spectra of, and random walks on, complex networks: are scale-free architectures really important? , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[29] Thilo Gross,et al. Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations. , 2007, Journal of theoretical biology.
[30] L E Scriven,et al. Instability and dynamic pattern in cellular networks. , 1971, Journal of theoretical biology.
[31] S. Strogatz. Exploring complex networks , 2001, Nature.
[32] Martin T. Dove. Structure and Dynamics , 2003 .
[33] P. Maini,et al. The Turing Model Comes of Molecular Age , 2006, Science.
[34] S. Havlin,et al. Scale-free networks are ultrasmall. , 2002, Physical review letters.
[35] Z. Ren,et al. Competition of Spatial and Temporal Instabilities under Time Delay near Codimension-Two Turing—Hopf Bifurcations , 2011, 1108.0720.
[36] Oppo,et al. Stabilization, Selection, and Tracking of Unstable Patterns by Fourier Space Techniques. , 1996, Physical review letters.
[37] A. Hastings,et al. Strong effect of dispersal network structure on ecological dynamics , 2008, Nature.
[38] Stuart A Newman,et al. Activator-inhibitor dynamics of vertebrate limb pattern formation. , 2007, Birth defects research. Part C, Embryo today : reviews.
[39] Alessandro Vespignani,et al. The role of the airline transportation network in the prediction and predictability of global epidemics , 2006, Proceedings of the National Academy of Sciences of the United States of America.
[40] A. M. Turing,et al. The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[41] Jordi Bascompte,et al. Spatial network structure and amphibian persistence in stochastic environments , 2006, Proceedings of the Royal Society B: Biological Sciences.
[42] V. Latora,et al. Complex networks: Structure and dynamics , 2006 .
[43] L E Scriven,et al. Non-linear aspects of dynamic pattern in cellular networks. , 1974, Journal of theoretical biology.
[44] I. Prigogine,et al. On symmetry-breaking instabilities in dissipative systems , 1967 .
[45] Timothy H. Keitt,et al. LANDSCAPE CONNECTIVITY: A GRAPH‐THEORETIC PERSPECTIVE , 2001 .
[46] Michael Menzinger,et al. Laplacian spectra as a diagnostic tool for network structure and dynamics. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[47] Hans Meinhardt,et al. Molecular evidence for an activator-inhibitor mechanism in development of embryonic feather branching. , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[48] T. Geisel,et al. Forecast and control of epidemics in a globalized world. , 2004, Proceedings of the National Academy of Sciences of the United States of America.
[49] P. Sheng,et al. Theory and Simulations , 2003 .
[50] Alessandro Vespignani,et al. Reaction–diffusion processes and metapopulation models in heterogeneous networks , 2007, cond-mat/0703129.
[51] K. Kaneko,et al. Regulative differentiation as bifurcation of interacting cell population. , 2007, Journal of theoretical biology.
[52] I. Prigogine,et al. Symmetry Breaking Instabilities in Dissipative Systems. II , 1968 .
[53] Peter K. Moore,et al. Network topology and Turing instabilities in small arrays of diffusively coupled reactors , 2004 .
[54] S. Kondo,et al. A reactiondiffusion wave on the skin of the marine angelfish Pomacanthus , 1995, Nature.
[55] K. Shiota,et al. TGFβ2 acts as an “Activator” molecule in reaction‐diffusion model and is involved in cell sorting phenomenon in mouse limb micromass culture , 2000, Developmental dynamics : an official publication of the American Association of Anatomists.
[56] Shigeru Kondo,et al. Interactions between zebrafish pigment cells responsible for the generation of Turing patterns , 2009, Proceedings of the National Academy of Sciences.