Citation: | Gu Huaguang. COMPLEX DYNAMICS OF THE NERVOUS SYSTEM FOR INFORMATION PROCESSING AND ABNORMAL FUNCTIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(2): 410-420. DOI: 10.6052/0459-1879-16-315 |
[1] |
Glass L, Mackey MC. From Clocks to Chaos:The Rhythms of Life. USA:Princeton University Press, 1988
|
[2] |
Aihara K, Matsumoto G, Ikegaya Y. Periodic and non-periodic response of a periodically forced Hodgkin-Huxley oscillator. Journal of Theoretical Biology, 1984, 109(2):249-269 doi: 10.1016/S0022-5193(84)80005-3
|
[3] |
Fan YS, Holden AV. From simple to complex bursting oscillatory behaviour via intermittent chaos in the Hindmarsh-Rose model for neuronal activity. Chaos, Solitons & Fractals, 1992, 2(3):349-369 https://www.researchgate.net/publication/222168935_From_Simple_to_Complex_Oscillatory_Behaviour_Via_Intermittent_Chaos_in_The_Rose-Hindmarsh_Model_for_Neuronal_Activity
|
[4] |
Chay TR. Chaos in a three-variable model of an excitable cell. Physica D, 1985, 16(2):233-242 doi: 10.1016/0167-2789(85)90060-0
|
[5] |
Engel AK, König P, Kreiter AK, et al. Interhemispheric synchronization of oscillatory neuronal responses in cat visual cortex. Science, 1991, 252(5009):1177-1179 doi: 10.1126/science.252.5009.1177
|
[6] |
陆启韶, 刘深泉, 刘锋等.生物神经网络系统动力学与功能研究.力学进展, 2008, 38(6):766-793 http://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ200806014.htm
Lu Qishao, Liu Shenquan, Liu Feng, et al. Research on dynamics and functions of biological neural network systems. Advances in Mechanics, 2008, 38(6):766-793(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ200806014.htm
|
[7] |
Lu QS, Gu HG, Yang ZQ, et al. Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities. Acta Mechanica Sinica, 2008, 24(6):593-628 doi: 10.1007/s10409-008-0204-8
|
[8] |
王青云, 张红慧.生物神经元系统同步转迁动力学问题.力学进展, 2013, 43(1):149-162 http://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201301012.htm
Wang Qingyun, Zhang Honghui. Advances of synchronization in neuronal networks. Advances in Mechanics, 2013, 43(1):149-162(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-LXJZ201301012.htm
|
[9] |
Huang XY, Xu WF, Liang JM, et al. Spiral wave dynamics in neocortex. Neuron, 2010, 68(5):978-990 doi: 10.1016/j.neuron.2010.11.007
|
[10] |
Braun HA, Wissing H, Schäfer K, et al. Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature, 1994, 367(6460):270-273 doi: 10.1038/367270a0
|
[11] |
Gu HG, Zhao ZG, Jia B, et al. Dynamics of on-off neural firing patterns and stochastic effects near a sub-critical Hopf bifurcation. PLoS ONE, 2015, 10(4):e0121028 doi: 10.1371/journal.pone.0121028
|
[12] |
Gu HG, Pan BB. Identification of neural firing patterns, frequency and temporal coding mechanisms in individual aortic baroreceptors. Frontiers in Computational Neuroscience, 2015, 9:108 https://www.researchgate.net/profile/Hua-Guang_Gu/publication/281619723_Identification_of_neural_firing_patterns_frequency_and_temporal_coding_mechanisms_in_individual_aortic_baroreceptors/links/563c374608ae34e98c47e72f.pdf
|
[13] |
Bennett GJ, Xie YK. A peripheral mononeuropathy in rat produces disorders of pain sensation like those seen in man. Pain, 1988, 33(1): 87-109 doi: 10.1016/0304-3959(88)90209-6
|
[14] |
Gu HG, Ren W, Lu QS, et al. Integer multiple spiking in neuronal pacemakers without external periodic stimulation. Physics Letters A, 2001, 285(1-2):63-68 doi: 10.1016/S0375-9601(01)00278-X
|
[15] |
Gu HG, Yang MH, Li L, et al. Experimental observation of the stochastic bursting caused by coherence resonance in experimental neural pacemaker. Neuro Report, 2002, 13(13):1657-1660 http://med.wanfangdata.com.cn/Paper/Detail/PeriodicalPaper_JJ029615357
|
[16] |
Gu HG, Jia B, Lu QS. Exponential decay characteristics of the integer multiple neural firing patterns. Cognitive Neurodynamics, 2011, 5(1):87-101 doi: 10.1007/s11571-010-9145-6
|
[17] |
Gu HG. Biological experimental observation of an unnoticed chaos as simulated by the Hindmarsh-Rose model. PLoS ONE, 2013, 8(12):e81759 doi: 10.1371/journal.pone.0081759
|
[18] |
Ren W, Hu SJ, Zhang BJ, et al. Period-adding bifurcation with chaos in the interspike intervals generated by an experimental neural pacemaker. International Journal of Bifurcation & Chaos, 1997, 7(8): 1867-1872 doi: 10.1142/S0218127497001448
|
[19] |
Jia B, Gu HG, Li L, et al. Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns. Cognitive Neurodynamics, 2012, 6(1):89-106 doi: 10.1007/s11571-011-9184-7
|
[20] |
Gu HG, Xiao WW. Difference between intermittent chaotic bursting and spiking of neural firing patterns. International Journal of Bifurcation & Chaos, 2014, 24(6):1450082 http://adsabs.harvard.edu/abs/2014IJBC...2450082G
|
[21] |
Gu HG. Experimental observation of transitions from chaotic bursting to chaotic spiking in a neural pacemaker. Chaos, 2013, 23(2): 023126 doi: 10.1063/1.4810932
|
[22] |
Gu HG, Chen SG. Potassium-induced bifurcations and chaos in neural firing patterns observed from a biological experimental pacemaker. Science China Technological Sciences, 2014, 57(5):864-871 doi: 10.1007/s11431-014-5526-0
|
[23] |
Gu HG, Pan BB, Chen GR, et al. Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models. Nonlinear Dynamics, 2014, 78(1):391-407 doi: 10.1007/s11071-014-1447-5
|
[24] |
Gu HG, Pan BB. A four-dimensional neuronal model to describe the complex nonlinear dynamics observed in the firing patterns of a sciatic nerve chronic constriction injury model. Nonlinear Dynamics, 2015, 81(4):2107-2126 doi: 10.1007/s11071-015-2129-7
|
[25] |
Gu HG. Different bifurcation scenarios of neural firing pattern in identical pacemakers. International Journal of Bifurcation & Chaos, 2013, 23(12):1350195 doi: 10.1142/S0218127413501952
|
[26] |
Gu HG, Jia B, Chen GR. Experimental evidence of a chaotic region in a neural pacemaker. Physics Letters A, 2013, 377(9):718-720 doi: 10.1016/j.physleta.2013.01.015
|
[27] |
Pikovsky AS, Kurth J. Coherence resonance in a noise-driven excitable system. Physical Review Letters, 1997, 78(5):775-778 doi: 10.1103/PhysRevLett.78.775
|
[28] |
Douglass JK, Wilkens L, Pantazelou E, et al. Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance. Nature, 1993, 365(6444):337-340 doi: 10.1038/365337a0
|
[29] |
Jia B, Gu HG. Identifying type Ⅰ excitability using dynamics of stochastic neural firing patterns. Cognitive Neurodynamics, 2012, 6(6):485-497 doi: 10.1007/s11571-012-9209-x
|
[30] |
Jia B, Gu HG, Li YY. Coherence-resonance-induced neuronal firing near a saddle-node and homoclinic bifurcation corresponding to type-Ⅰ excitability. Chinese Physics Letters, 2011, 28(9):090507 doi: 10.1088/0256-307X/28/9/090507
|
[31] |
Stiefel KM, Gutkin BS, Sejnowski TJ. Cholinergic neuromodulation changes phase response curve shape and type in cortical pyramidal neurons. PLoS ONE, 2008, 3(12):e3947 doi: 10.1371/journal.pone.0003947
|
[32] |
Xiao WW, Gu HG, Liu MR. Spatiotemporal dynamics in a network composed of neurons with different excitabilities and excitatory coupling. Science China Technological Science, 2016, 59(12):1943-1952 doi: 10.1007/s11431-016-6046-x
|
[33] |
Li YY, Gu HG. The influence of initial values on spatial coherence resonance in neuronal networks. International Journal of Bifurcation & Chaos, 2015, 25(8):1550104 http://or.nsfc.gov.cn/handle/00001903-5/166144
|
[34] |
Gu HG, Jia B, Li YY, et al. White noise-induced spiral waves and multiple spatial coherence resonances in a neuronal network with type Ⅰ excitability. Physica A, 2013, 392(6):1361-1374 doi: 10.1016/j.physa.2012.11.049
|
[35] |
Li YY, Jia B, Gu HG, et al. Parameter diversity induced multiple spatial coherence resonances and spiral waves in neuronal network with and without noise. Communications in Theoretical Physics, 2012, 57(5):817-824 doi: 10.1088/0253-6102/57/5/12
|
[36] |
Liu ZQ, Zhang HM, Li YY, et al. Multiple spatial coherence resonance induced by stochastic signal in neuronal networks near a saddle-node bifurcation. Physica A, 2010, 389(13):2642-2653 doi: 10.1016/j.physa.2010.02.029
|
[37] |
Elson RC, Selverston AI, Abarbanel HDI, et al. Inhibitory synchronization of bursting in biological neurons:Dependence on synaptic time constant. Journal of Neurophysiology, 2002, 88(3):1166-1176 https://www.researchgate.net/profile/Mikhail_Rabinovich3/publication/11183876_Inhibitory_synchronization_of_bursting_in_biological_neurons_Dependence_on_synaptic_time_constant/links/0c96051548ff5533a2000000.pdf?origin=publication_list
|
[38] |
Mo J, Li YY, Wei CL, et al. Interpreting a period-adding bifurcation scenario in neural bursting patterns using border-collision bifurcation in a discontinuous map of a slow control variable. Chinese Physics B, 2010, 19(8):080513 doi: 10.1088/1674-1056/19/8/080513
|
[39] |
Gu HG, Yang MH, Li L, et al. Dynamics of autonomous stochastic resonance in neural period adding bifurcation scenarios. Physics Letters A, 2003, 319(1-2):89-96 doi: 10.1016/j.physleta.2003.09.077
|
[40] |
Zhao ZG, Gu HG. The influence of single neuron dynamics and network topology on time delay-induced multiple synchronous behaviors in inhibitory coupled network. Chaos, Solitons & Fractals, 2015, 80(11):96-108 https://www.researchgate.net/publication/280973993_The_influence_of_single_neuron_dynamics_and_network_topology_on_time_delay-induced_multiple_synchronous_behaviors_in_inhibitory_coupled_network
|
[41] |
Gu HG, Zhao ZG. Dynamics of time delay-induced multiple synchronous behaviors in inhibitory coupled bursting neurons. PLoS ONE, 2015, 10(9):e0138593 doi: 10.1371/journal.pone.0138593
|
[42] |
Belykh I, Shilnikov A. When weak inhibition synchronizes strongly desynchronizing networks of bursting neurons. Physical Review Letters, 2008, 101(7):078102 doi: 10.1103/PhysRevLett.101.078102
|
[43] |
Cheng W, Rolls ET, Gu HG, et al. Autism:reduced connectivity between cortical areas involved in face expression, theory of mind, and the sense of self. Brain, 2015, 138(5):1382-1393 doi: 10.1093/brain/awv051
|
[44] |
Gu HG, Yang MH, Li L, et al. Noise induced multi-mode firing patterns in neural period adding bifurcation scenario. International Journal of Modern Physics B, 2003, 17(22-24):4195-4200 doi: 10.1142/S0217979203022179
|
[45] |
Yang MH, Liu ZQ, Li L, et al. Identifying distinct stochastic dynamics from chaos:a study on multimodal neural firing patterns. International Journal of Bifurcation & Chaos, 2009, 19(2):453-485 https://www.researchgate.net/profile/Hua-Guang_Gu/publication/220264459_Identifying_Distinct_Stochastic_Dynamics_from_Chaos_a_Study_on_Multimodal_Neural_Firing_Patterns/links/545cea7b0cf295b5615e6207.pdf?inViewer=true&pdfJsDownload=true&disableCoverPage=true&origin=publication_detail
|
[46] |
Zhao ZG, Jia B, Gu HG. Bifurcations and enhancement of neuronal firing induced by negative feedback. Nonlinear Dynamics, 2016, 86(10):1549-1560 doi: 10.1007/s11071-016-2976-x
|
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