Collapse of ordered spatial pattern in neuronal network

Physica A: Statistical Mechanics and its Applications

Volumn 451, Issue , 2016, Pages 95-112

  Song, Xinlin ^a   Wang, Chunni ^a   Ma, Jun ^a,b   Ren, Guodong ^a  

^a LANZHOU UNIVERSITY OF TECHNOLOGY   (China)

^b CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Breakup; Network; Neuron; Regular state; Target wave

Indexed keywords

DROP BREAKUP; NETWORKS (CIRCUITS); NEURAL NETWORKS; SPATIAL DISTRIBUTION;

CONTINUOUS DESTRUCTION; CONTINUOUS PARAMETERS; ELECTRICAL ACTIVITIES; REGULAR STATE; SPATIO-TEMPORAL SYSTEM; STATISTICAL CORRELATION FUNCTION; TARGET WAVES; TWO-DIMENSIONAL ARRAYS;

NEURONS;

EID: 84958173432     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2016.01.049     Document Type: Article

References (28)

1. A.L. Hodgkin, and A.F. Huxley A quantitative description of membrane current and its application to conduction and excitation in nerve J. Physiol. 117 1952 500 544
2. J.L. Hindmarsh, and R.M. Rose A model of neuronal bursting using three coupled first order differential equations Proc. R. Soc. Lond. Ser. B 221 1984 87 102
3. M.A.F. Sanjuán, B. Ibarz, and J.M. Casado Map-based models in neuronal dynamics Phys. Rep. 501 2011 1 74
4. C. Morris, and H. Lecar Voltage oscillations in the barnacle giant muscle fiber Biophys. J. 35 1981 193 213
5. E. Izhikevich Which model to use for cortical spiking neurons? IEEE Trans. Neural Netw. 15 2004 1063 1070
6. Z. Wang, A. Szolnoki, M. Perc, and et al. Self-organization towards optimally interdependent networks by means of coevolution New J. Phys. 16 2014 033041
7. M. Perc Self-organization of progress across the century of physics Sci. Rep. 3 2013 1720
8. M. Gosak, M. Marhl, and M. Perc Pacemaker-guided noise-induced spatial periodicity in excitable media Physica D 238 2009 506 515
9. M. Ozer, M. Perc, and M. Uzuntarla Stochastic resonance on Newman-Watts networks of Hodgkin-Huxley neurons with local periodic driving Phys. Lett. A 373 2009 964 968
10. H.X. Qin, J. Ma, W.Y. Jin, and C.N. Wang Dynamics of electric activities in neuron and neurons of network induced by autapses Sci. China Technol. Sci. 57 2014 936 946
11. J. Ma, C.N. Wang, H.P. Ying, and R.T. Chu Emergence of target waves in neuronal networks due to diverse forcing currents Sci. China Phys. Mech. Astron. 56 2013 1126 1138
12. Y. Qian, C.J. Wang, H.S. Shi, and et al. Self-sustained target waves in excitable media with only a long-range link Chin. Phys. B 20 2011 108201
13. X.Y. Huang, W.C. Troy, Q. Yang, and et al. Spiral waves in disinhibited mammalian neocortex J. Neurosci. 24 2004 9897 9902
14. S.J. Schiff, X.Y. Huang, and J.Y. Wu Dynamical evolution of spatiotemporal patterns in mammalian middle cortex Phys. Rev. Lett. 98 2007 178102
15. X.Y. Huang, W.F. Xu, J.M. Liang, and et al. Spiral wave dynamics in neocortex Neuron 60 2010 978 990
16. H.X. Qin, J. Ma, C.N. Wang, and Y. Wu Autapse-induced spiral wave in network of neurons under noise PLoS One 9 2014 e100849
17. H.X. Qin, J. Ma, C.N. Wang, and R.T. Chu Autapse-induced target wave, spiral wave in regular network of neurons Sci. China Phys. Mech. Astron. 57 2014 1918 1926
18. D.H. He, G. Hu, and M. Zhan Pattern formation of spiral waves in an inhomogeneous medium with small-world connections Phys. Rev. E 65 2002 055204
19. H.X. Qin, Y. Wu, C.N. Wang, and J. Ma Emitting waves from defects in network with autapses Commun. Nonlinear Sci. Numer. Simul. 23 2015 164 174
20. M. Ozer, M. Perc, and M. Uzuntarla Controlling the spontaneous spiking regularity via channel blocking on Newman-Watts networks of Hodgkin-Huxley neurons Europhys. Lett. 86 2009 40008
21. L. Huang, J. Ma, J. Tang, and F. Li Transition of ordered waves in neuronal network induced by diffusive poisoning of ion channels J. Biol. Syst. 21 2013 1350002
22. M. Perc Spatial coherence resonance in excitable media Phys. Rev. E 72 2005 016207
23. M. Perc Spatial decoherence induced by small-world connectivity in excitable media New J. Phys. 7 2005 252
24. J.Q. Lu, and J.D. Cao Synchronization-based approach for parameters identification in delayed chaotic neural networks Physica A 382 2007 672 682
25. C. Zhang, and J.D. Cao Robust synchronization of coupled neural networks with mixed delays and uncertain parameters by intermittent pinning control Neurocomputing 141 2014 153 159
26. H.G. Gu, B. Jia, Y.Y. Li, and G.R. Chen White noise-induced spiral waves and multiple spatial coherence resonances in a neuronal network with type I excitability Physica A 392 2013 1361 1374
27. X.Y. Wu, J. Ma, F. Li, and Y. Jia Development of spiral wave in a regular network of excitatory neurons due to stochastic poisoning of ion channels Commun. Nonlinear Sci. Numer. Simul. 18 2013 3350 3364
28. J. Ma, Y. Xu, G.D. Ren, and C.N. Wang Prediction for breakup of spiral wave in a regular neuronal network Nonlinear Dynam. 2016 10.1007/s11071-015-2502-6