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Cooperative dynamics in neuronal networks

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  • Wang, Qingyun
  • Zheng, Yanhong
  • Ma, Jun

Abstract

There exist rich cooperative behaviors and their transitions in biological neuronal systems as some key biological factors are changed. Among all of cooperative behaviors of neuronal systems, the existing experiments have shown that the spatiotemporal pattern and synchronization dynamics are very crucial, which are closely related to normal function and dysfunction of neuronal systems. Based on different neuron models, the recent works have been made to explore the mechanisms of pattern formation and synchronization transition. This paper mainly overviews the recent studies of the cooperative dynamics including the pattern formation and synchronization transition in biological neuronal networks. Firstly, we review complicated spatiotemporal pattern dynamics of neuronal networks. Secondly, the interesting synchronization transition is reviewed. Finally, conclusion is given and we put forward some outlooks of research on the cooperative behaviors in real neuronal networks.

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  • Wang, Qingyun & Zheng, Yanhong & Ma, Jun, 2013. "Cooperative dynamics in neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 56(C), pages 19-27.
    • Handle: RePEc:eee:chsofr:v:56:y:2013:i:c:p:19-27
    DOI: 10.1016/j.chaos.2013.05.003
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    1. Jesús Gómez-Gardeñes & Gorka Zamora-López & Yamir Moreno & Alex Arenas, 2010. "From Modular to Centralized Organization of Synchronization in Functional Areas of the Cat Cerebral Cortex," PLOS ONE, Public Library of Science, vol. 5(8), pages 1-11, August.
    2. Mainieri, M.S. & Erichsen, R. & Brunnet, L.G., 2005. "Time evolution of coherent structures in networks of Hindmarch–Rose neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 663-671.
    3. Q. Y. Wang & Q. S. Lu & G. R. Chen, 2006. "Spatio-temporal patterns in a square-lattice Hodgkin-Huxley neural network," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(2), pages 255-261, November.
    4. M. Ozer & L. J. Graham, 2008. "Impact of network activity on noise delayed spiking for a Hodgkin-Huxley model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 499-503, February.
    5. Perc, Matjaž, 2007. "Spatial coherence resonance in neuronal media with discrete local dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 64-69.
    6. Schmid, Gerhard & Goychuk, Igor & Hänggi, Peter, 2004. "Controlling the spiking activity in excitable membranes via poisoning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 665-670.
    7. Perc, Matjaž, 2007. "Effects of small-world connectivity on noise-induced temporal and spatial order in neural media," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 280-291.
    8. L. Wang & Y. Gong & X. Lin & B. Xu, 2012. "Multiple coherence resonances by time-periodic coupling strength in scale-free networks of bursting neurons," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(1), pages 1-5, January.
    9. Wang, Qingyun & Perc, Matjaž & Duan, Zhisheng & Chen, Guanrong, 2010. "Impact of delays and rewiring on the dynamics of small-world neuronal networks with two types of coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3299-3306.
    10. Gong, Yubing & Hao, Yinghang & Xie, Yanhang, 2010. "Channel block-optimized spiking activity of Hodgkin–Huxley neurons on random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(2), pages 349-357.
    11. Wang, Qingyun & Duan, Zhisheng & Feng, Zhaosheng & Chen, Guanrong & Lu, Qishao, 2008. "Synchronization transition in gap-junction-coupled leech neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4404-4410.
    12. Wang, Qing Yun & Lu, Qi Shao & Guan Rong Chen,, 2007. "Ordered bursting synchronization and complex wave propagation in a ring neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 869-878.
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    Cited by:

    1. Huang, Shoufang & Zhang, Jiqian & Hu, Chin-Kun, 2019. "Effects of external stimulations on transition behaviors in neural network with time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Pham, Tuan D., 2014. "The butterfly effect in ER dynamics and ER-mitochondrial contacts," Chaos, Solitons & Fractals, Elsevier, vol. 65(C), pages 5-19.
    3. Upadhyay, Ranjit Kumar & Mondal, Argha, 2017. "Synchronization of bursting neurons with a slowly varying d. c. current," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 195-208.
    4. Huang, Shoufang & Zhang, Jiqian & Wang, Maosheng & Hu, Chin-Kun, 2018. "Firing patterns transition and desynchronization induced by time delay in neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 88-97.
    5. Fedaravičius, Augustinas Povilas & Cao, Maosen & Ragulskis, Minvydas, 2016. "Control of a dendritic neuron driven by a phase-independent stimulation," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 77-83.
    6. Mondal, Argha & Upadhyay, Ranjit Kumar, 2017. "Dynamics of a modified Hindmarsh–Rose neural model with random perturbations: Moment analysis and firing activities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 144-160.
    7. Zheng, Y.G. & Bao, L.J., 2017. "Effect of topological structure on synchronizability of network with connection delay," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 145-151.

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