电磁场耦合忆阻神经网络的放电模式及同步行为研究

doi:10.16088/j.issn.1001-6600.2020.01.014

摘要/Abstract

摘要： 神经元电活动依赖于外界刺激及其感应电流,而细胞内部离子穿越细胞膜会诱发时变磁场。此外,每个细胞膜表面都被视为具有复杂电荷分布的带电体,会产生感应电场。因此,在传统的神经元模型中引入电磁场变量并研究电磁场耦合对神经网络集体动力学行为的影响具有实际意义。本文提出一种考虑电场和磁场的神经网络模型,其中采用磁控忆阻器模拟细胞内的电磁感应效应,描述磁通量和膜电位之间耦合。通过数值仿真研究电磁感应对神经网络的放电模式转换以及网络同步行为的影响,发现电场和磁场感应可以诱导神经元电活动模式发生转变,还发现突触连接的增强更能促进神经网络同步行为。本文考虑电磁场对神经元的作用,研究结果可望为认识神经系统的信号编码和传播机制提供新的见解。

关键词: 神经元网络, 忆阻器, 电场, 同步参数

Abstract: The electrical activity of neurons depends on external stimulation and induced current. Ion crossing cell membrane can induce time-varying magnetic field. In addition, the surface of each cell membrane is regarded as a charged body with complex charge distribution, which generates an induced electric field. Therefore, it is of practical significance to introduce electromagnetic field variables into the traditional neuron model and study the influence of electromagnetic field coupling on the collective dynamics of neural networks. Firstly, a neural network model considering electric field and magnetic field is proposed, in which a magnetic memristor is used to simulate the electromagnetic induction effect in cells and describe the coupling between magnetic flux and membrane potential. Then, through numerical simulation, the influence of electromagnetic induction on the discharge mode conversion and synchronization behavior of neural network is studied. It is found that electric field and magnetic induction can induce the conversion of neuronal electrical activity mode, while synaptic connection can enhance the synchronization behavior of neural network. This paper is innovative for considering the effect of electromagnetic field on neurons. The results of this study may provide new insights into the mechanism of signal coding and transmission in the nervous system.

Key words: neural network, memristor, electric field, synchronization factor

中图分类号:

Q189

谭安杰, 韦笃取, 覃英华. 电磁场耦合忆阻神经网络的放电模式及同步行为研究[J]. 广西师范大学学报（自然科学版）, 2020, 38(1): 107-113.

TAN Anjie, WEI Duqu, QIN Yinghua. Research on Discharge Mode and Synchronization Behavior of Electromagnetic Field Coupled Memristor Neural Network[J]. Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(1): 107-113.

参考文献

[1] IZHIKEVICH E M.Resonate-and-fire neurons[J].Neural Networks,2001,14(6/7):883-894.DOI:10.1016/S0893- 6080(01)00078-8.
[2] IZHIKEVICH E M.Simple model of spiking neurons[J].IEEE Transactions on Neural Networks,2003,14(6):1569-1572.DOI:10.1109/TNN.2003.820440.
[3] 吴信谊,马军,谢振博.离子通道的非均匀分布对环链神经元网络电活动的影响[J].物理学报,2013,62(24):240507.DOI:10.7498/aps.62.240507.
[4] HINDMARSH J L,ROSE R M.A model of the nerve impulse using two first-order differential equations[J]. Nature,1982,296(5853):162-164.DOI:10.1038/296162a0.
[5] WANG Hengtong,WANG Longfei,YU Lianchun,et al.Response of Morris-Lecar neurons to various stimuli[J]. Physical Review E,2011,83(2):021915.DOI:10.1103/PhysRevE.83.021915.
[6] 王意,邹艳丽,李可,等.分布式电站入网方式对电网同步的影响[J].广西师范大学学报(自然科学版),2017, 35(4):24-31.DOI:10.16088/j.issn.1001-6600.2017.04.004.
[7] 傅杰,邹艳丽,谢蓉.簇网络的同步及稳定性研究[J].广西师范大学学报(自然科学版),2017,35(1):7-15. DOI:10.16088/j.issn.1001-6600.2017.01.002.
[8] 周小荣,罗晓曙.小世界生物神经网络的同步性能研究[J].广西师范大学学报(自然科学版),2008,26(1):19-22. DOI:10.16088/j.issn.1001-6600.2008.01.041.
[9] SHI Xia,XI Wenqi.Synchronization and rhythm dynamics of a neuronal network consisting of mixed bursting neurons with hybrid synapses[J].International Journal of Modern Physics B,2016,30(16):1650091.DOI:10.1142/S0217979216500910.
[10]XU Ying,JIN Wuyin,MA Jun.Emergence and robustness of target waves in a neuronal network[J].International Journal of Modern Physics B,2015,29(23):1550164.DOI:10.1142/S0217979215501647.
[11]SHAFIEI M,PARASTESH F,JALILI M, et al.Effects of partial time delays on synchronization patterns in Izhikevich neuronal networks[J].The European Physical Journal B,2019,92(2):36.DOI:10.1140/epjb/e2018-90638-x.
[12]JIN Wuyin,LIN Qian,WANG An,et al.Computer simulation of noise effects of the neighborhood of stimulus threshold for a mathematical model of homeostatic regulation of sleep-wake cycles[J].Complexity, 2017,2017:4797545.DOI:10.1155/2017/4797545.
[13]JIANG Dapeng,LI Jinhui,ZHANG Jie,et al.Long-term electromagnetic pulse exposure induces Abeta deposition and cognitive dysfunction through oxidative stress and overexpression of APP and BACE1[J]. Brain Research,2016,1642:10-19.DOI:10.1016/j.brainres.2016.02.053.
[14]FRAGOPOULOU A F,MILTIADOUS P,STAMATAKIS A,et al.Whole body exposure with GSM 900 MHz affects spatial memory in mice[J].Pathophysiology,2010,17(3):179-187.DOI:10.1016/j.pathophys.2009.11.002.
[15]NTZOUNI M P,STAMATAKIS A,STYLIANOPOULOU F,et al.Short-term memory in mice is affected by mobile phone radiation[J].Pathophysiology,2011,18(3):193-199.DOI:10.1016/j.pathophys.2010.11.001.
[16]LV Mi,MA Jun.Multiple modes of electrical activities in a new neuron model under electromagnetic radiation[J].Neurocomputing,2016,205:375-381.DOI:10.1016/j.neucom.2016.05.004.
[17]MA Jun,WU Fuqiang,HAYAT T,et al.Electromagnetic induction and radiation-induced abnormality of wave propagation in excitable media[J].Physica A:Statistical Mechanics and its Applications,2017,486:508-516.DOI:10.1016/j.physa.2017.05.075.
[18]XU Ying,YING Heping,JIA Ya,et al.Autaptic regulation of electrical activities in neuron under electromagnetic induction[J].Scientific reports,2017,7:43452.DOI:10.1038/srep43452.
[19]GE Mengyan,JIA Ya,XU Ying,et al.Mode transition in electrical activities of neuron driven by high and low frequency stimulus in the presence of electromagnetic induction and radiation[J].Nonlinear Dynamics,2018,91(1):515-523.DOI:10.1007/s11071-017-3886-2.
[20]包伯成,史国栋,许建平,等.含两个忆阻器混沌电路的动力学分析[J].中国科学:技术科学,2011,41(8):1135-1142.DOI:10.1360/ze2011-41-8-1135.
[21]LI Chunbiao,THIO W J,IU H H,et al.A memristive chaotic oscillator with increasing amplitude and frequency[J].IEEE Access,2018,6:12945-12950.DOI:10.1109/ACCESS.2017.2788408.
[22]XU Quan,LIN Yi,BAO Bocheng,et al.Multiple attractors in a non-ideal active voltage-controlled memristor based Chua’s circuit[J].Chaos,Solitons & Fractals,2016,83:186-200.DOI:10.1016/j.chaos. 2015.12.007.
[23]MA Jun,LV Mi,ZHOU Ping,et al.Phase synchronization between two neurons induced by coupling of electromagnetic field[J].Applied Mathematics and Computation,2017,307:321-328.DOI:10.1016/j.amc. 2017.03.002.
[24]LV Mi,WANG Chunni,REN Guodong,et al.Model of electrical activity in a neuron under magnetic flow effect[J].Nonlinear Dynamics,2016,85(3):1479-1490.DOI:10.1007/s11071-016-2773-6.
[25]TANG Jun,ZHANG Juan,MA Jun,et al.Astrocyte calcium wave induces seizure-like behavior in neuron network[J].Science China Technological Sciences,2017,60(7):1011-1018.DOI:10.1007/s11431-016-0293-9.
[26]FOX R F,GATLAND L R,ROY R,et al.Fast,accurate algorithm for numerical simulation of exponentially correlated colored noise[J].Physical Review A,1988,38(11):5938-5940.DOI:10.1103/PhysRevA.38.5938.
[27]MA Jun,WU Fuqiang,ALSAEDI A,et al.Crack synchronization of chaotic circuits under field coupling[J]. Nonlinear Dynamics,2018,93(4):2057-2069.DOI:10.1007/s11071-018-4307-x.

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