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电磁辐射下神经元模型的放电行为分析
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Abstract:
引入忆阻器以及磁通项改进了三变量Hindmarsh-Rose模型,改进后的电磁场神经元模型用来描述考虑电磁感应的神经元电活动的动力学行为,并且当外部电磁辐射作用到神经元上时,即加入噪声来研究神经元的放电活动和随机响应时,检测到神经元中电活动的多种模式。结果表明,外界刺激振幅较大时更容易产生簇放电模式。特别地,可以发现电活动模式可以交替出现。
The introduction of memristors and flux terms improves the three-variable Hindmarsh-Rose model, and the improved electromagnetic field neuron model is used to describe the dynamic behavior of the electrical activity of neurons considering electromagnetic induction, and when external elec-tromagnetic radiation acts on the neurons, that is the noise is added to study the firing activity and random response of the neuron, multiple patterns of electrical activity in the neurons are detected. The results show that the discharge mode of bursting is more likely to occur when the external stimulus amplitude is larger. Particularly, it can be found that multi-mode electrical activity can occur alternately.
[1] | Ma, J., Wang, Y., et al. (2017) Mode Selection in Electrical Activities of Myocardial Cell Exposed to Elctromagnetic Ra-diation. Chaos, Solitons & Fractals, 99, 219-225. https://doi.org/10.1016/j.chaos.2017.04.016 |
[2] | Hodgkin, A.L. and Huxley, A.F. (1952) A Quantitative Description of Membrane Current and Its Application to Conduction and Excita-tion in Nerve. The Journal of Physiology, 117, 500-544.
https://doi.org/10.1113/jphysiol.1952.sp004764 |
[3] | Fitzhugh, R. (1961) Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophysical Journal, 1, 445-466. https://doi.org/10.1016/S0006-3495(61)86902-6 |
[4] | Nagumo, J., Arimoto, S. and Yoshizawa, S. (1962) An Ac-tive Pulse Transmission Line Simulating Nerve Axon. Proceedings of the IRE, 50, 2061-2070. https://doi.org/10.1109/JRPROC.1962.288235 |
[5] | Hindmarsh, J.L. and Rose, R.M. (1982) A Model of the Nerve Impulse Using Two First-Order Differential Equations. Nature, 296, 162-164. https://doi.org/10.1038/296162a0 |
[6] | Lv, M. and Ma, J. (2016) Multiple Modes of Electrical Activities in a New Neuron Model under Electromagnetic Radiation. Neurocomputing, 205, 375-381. https://doi.org/10.1016/j.neucom.2016.05.004 |
[7] | Ozer, M., Uzuntarla, M., et al. (2009) Spike Latency and Jitter of Neuronal Membrane Patches with Stochastic Hodgkin-Huxley Channels. Journal of Theoretical Biology, 261, 83-92. https://doi.org/10.1016/j.jtbi.2009.07.006 |
[8] | Y?lmaz, E., Baysal, V., Perc, M., et al. (2016) Enhancement of Pacemaker Induced Stochastic Resonance by an Autapse in a Scale-Free Neuronal Network. Science China Technologi-cal Science, 59, 364-370.
https://doi.org/10.1007/s11431-015-5984-z |
[9] | Gosak, M., Marhl, M. and Perc, M. (2009) Pacemaker-Guided Noise-Induced Spatial Periodicity in Excitable Media. Physica D, 238, 506-515. https://doi.org/10.1016/j.physd.2008.11.007 |
[10] | Mark, D.M. and Derek, A. (2009) What Is Stochastic Resonance? Definitions, Misconceptions, Debates, and Its Relevance to Biology. PLOS Computational Biology, 5, e1000348. https://doi.org/10.1371/journal.pcbi.1000348 |
[11] | Lv, M., Wang, C.N., Ren, G.D., et al. (2016) Model of Electrical Activity in a Neuron under Magnetic Flow. Nonlinear Dynamics, 85, 1479-1490. https://doi.org/10.1007/s11071-016-2773-6 |
[12] | Wang, Z.Q., Xu, Y. and Yang, H. (2016) Lévy Noise Induced Stochastic Resonance in an FHN Model. Science China Technological Sciences, 59, 371-375. https://doi.org/10.1007/s11431-015-6001-2 |