电磁辐射诱发神经元放电节律转迁的动力学行为研究

李佳佳; 吴莹; 独盟盟; 刘伟明

doi:10.7498/aps.64.030503

摘要

本文首先根据能量转换理论建立了电磁辐射影响下神经元电流变量模型, 然后结合Hodgkin-Huxley(HH)神经元模型研究了电磁辐射对单个神经元以及耦合神经元放电行为的影响. 结果表明, 随着电磁辐射强度的增大, 神经元放电率逐渐减小, 最后达到一个比较稳定的值. 神经元原有的周期型放电由于辐射强度的增大而逐步过渡到簇放电状态, 并借助动态分岔理论解释了这种放电模式的转换. 同时证明了磁辐射对单个神经元放电的影响可以通过神经元间的耦合传递到临近其他神经元中.

关键词:

Abstract

This paper presents the mathematical model of membrane current of neuron resulting from electromagnetic radiation based on the foundation of neuronal energy theory; and the effect of electromagnetic radiation on the dynamic behaviors of single neuron and the firing activities of two neurons coupled with gap connection are investigated. Results show that the neuronal firing rate is lowered as the radiation intensity increases, and finally reaches a stable value. As the radiation intensity increases, the periodical spiking of neuron is transformed into bursting firing, which is well explained based on the dynamic bifurcation theory. It turns out that the bursting firing induced by the electromagnetic radiation could spread out in neuronal network through an electrical gap junction.

Keywords:

作者及机构信息

1.
西安交通大学航天航空学院, 机械结构强度与振动国家重点实验室, 西安 710049

基金项目: 国家自然科学基金(批准号: 11272242)和陕西省自然科学基础研究计划(批准号: S2014JC12575)资助的课题.

Authors and contacts

1.
State key Laboratory for strength and Vibration of Mechanical Structure, School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11272242) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. S2014JC12575).

参考文献

[1]	Hodgkin A L, Huxley A F 1952 J. Phys. London 117 500
[2]	Izhikevich E M 2004 IEEE T. Neural Networ. 15 1063
[3]	Hindmarsh J L, Rose R M A 1984 Proc. R. Soc. London, Ser. B 221 87
[4]	Li Y Y, Jia B, Gu H G 2012 Acta Phys. Sin. 61 070504 (in Chinese) [李玉叶, 贾冰, 古华光 2012 61 070504]
[5]	Wang C N, Ma J, Jin W Y 2012 Dynam. Syst. 27 253
[6]	Wang Q Y, Lu Q S 2005 Chin. Phys. 14 2189
[7]	Men C, Wang J, Qin Y M, Wei X L, Che Y Q, Deng B 2011 Chin. Phys. B 20 128704
[8]	Ma J, Wang CN, Ying H P, Wu Y, Chu R T 2013 Sci. China Phys. Mech. 56 1126
[9]	Ma J, Huang L, Ying H P, Pu Z S 2012 Chin. Sci. Bull. 57 2094
[10]	Hu B L, Ma J, Li F, Pu Z S 2013 Acta Phys. Sin. 62 058701 (in Chinese) [胡柏林, 马军, 李凡, 蒲忠胜 2013 62 058701]
[11]	Liu S B, Wu Y, Li J J, Xie Y, Tan N 2013 Nonlinear Dynm. 73 1055
[12]	Qin H X, Ma J, Jin W Y, Wang C H 2014 Sci. China Technol. Sc. 57 936
[13]	Wu Y, Li J J, Liu S B, Pang J Z, Du M M, Lin P. 2013 Cogn. Neurodyn. 7 431
[14]	Zhang Z Z, Zeng S Y, Tang W Y, Hu J L, Zeng S W, Ning W L, Qiu Y, Wu H S 2012 Chin. Phys. B 21 108701
[15]	Kesari K K, Siddiqui M H, Meena R, Verma H N, Kumar S 2013 Indian J. Exp. Biol. 51 187
[16]	Calvente I, Fernandez M F, Villalba J, Olea N, Nu?ez M I 2010 Sci. Total Environ. 408 3062
[17]	Inskip P D, Tarone R E, Hatch E E, Wilcosky T C, Shapiro W R, Selker R G, Fine H A, Black P M, Loeffler J S, Linet M S 2001 New Engl. J. Med. 344 79
[18]	Susanna L, Martin R 2014 Bioelectromagnetics 35 79
[19]	Zhao T Y, Zou S P, Knapp P E 2007 Neurosci. Lett. 412 34
[20]	Rianne S 2010 Brain Res. Rev. 65 80
[21]	Wachtel H, Seaman R, Joines W 1975 Ann. NY. Acad. Sci. 247 46
[22]	Claudia C, Caterina M, Carmela M, Barbara B 2012 Int. J. Biochem. Cell B 2012 683897
[23]	Wechsler L S, Checkoway H, Franklin G M, Costa L G 1991 Neurotoxicology 12 387
[24]	Johansen C 2000 Epidemiology 11 539
[25]	Noonan C W, Reif J S, Yost M, Touchstone J 2002 Scand. J. Work Env. Hea. 28 42
[26]	Huss A, Spoerri A, Egger M, Roosli M 2009 Am. J. Epidemiol. 169 167
[27]	Lobb C J 2014 Basal Ganglia 3 187
[28]	Remple M S, Bradenham C H 2011 Movement Disord. 26 1657
[29]	Nadia U, Nicolas R, Damien G, Bernard R, Guy C 2002 J. Neurosci. 22 8665
[30]	Moujahid A, d' Anjou A, Torrealdea F J 2011 Phys. Rev. E 83 031912
[31]	Moujahid A, d' Anjou A, Torrealdea F J, Torrealdea F 2011 Chaos Soliton. Fract. 44 929
[32]	Torrealdea F J, Sarasola C, d' Anjou A 2009 Chaos Soliton. Fract. 40 60
[33]	Torrealdea F J, Sarasola C, d' Anjoua A, Moujahida A, de Mendizábalc N V 2009 Biosystems 97 60
[34]	Allan H F 1998 Environ. Health Persp. 106 101
[35]	Yu Y G, Hill AP, McCormick D A 2012 PLoS Comput. Biol. 8 1
[36]	Foust A J, Yu Y G, Popovic M, Zecevic D 2011 J. Neurosci. 31 15490
[37]	Ermetrout G B, Terman D H 2010 Mathematical Foundations of Neuroscience (Vol.35) (New York: Springer) pp103-p127

施引文献

[1]	Hodgkin A L, Huxley A F 1952 J. Phys. London 117 500
[2]	Izhikevich E M 2004 IEEE T. Neural Networ. 15 1063
[3]	Hindmarsh J L, Rose R M A 1984 Proc. R. Soc. London, Ser. B 221 87
[4]	Li Y Y, Jia B, Gu H G 2012 Acta Phys. Sin. 61 070504 (in Chinese) [李玉叶, 贾冰, 古华光 2012 61 070504]
[5]	Wang C N, Ma J, Jin W Y 2012 Dynam. Syst. 27 253
[6]	Wang Q Y, Lu Q S 2005 Chin. Phys. 14 2189
[7]	Men C, Wang J, Qin Y M, Wei X L, Che Y Q, Deng B 2011 Chin. Phys. B 20 128704
[8]	Ma J, Wang CN, Ying H P, Wu Y, Chu R T 2013 Sci. China Phys. Mech. 56 1126
[9]	Ma J, Huang L, Ying H P, Pu Z S 2012 Chin. Sci. Bull. 57 2094
[10]	Hu B L, Ma J, Li F, Pu Z S 2013 Acta Phys. Sin. 62 058701 (in Chinese) [胡柏林, 马军, 李凡, 蒲忠胜 2013 62 058701]
[11]	Liu S B, Wu Y, Li J J, Xie Y, Tan N 2013 Nonlinear Dynm. 73 1055
[12]	Qin H X, Ma J, Jin W Y, Wang C H 2014 Sci. China Technol. Sc. 57 936
[13]	Wu Y, Li J J, Liu S B, Pang J Z, Du M M, Lin P. 2013 Cogn. Neurodyn. 7 431
[14]	Zhang Z Z, Zeng S Y, Tang W Y, Hu J L, Zeng S W, Ning W L, Qiu Y, Wu H S 2012 Chin. Phys. B 21 108701
[15]	Kesari K K, Siddiqui M H, Meena R, Verma H N, Kumar S 2013 Indian J. Exp. Biol. 51 187
[16]	Calvente I, Fernandez M F, Villalba J, Olea N, Nu?ez M I 2010 Sci. Total Environ. 408 3062
[17]	Inskip P D, Tarone R E, Hatch E E, Wilcosky T C, Shapiro W R, Selker R G, Fine H A, Black P M, Loeffler J S, Linet M S 2001 New Engl. J. Med. 344 79
[18]	Susanna L, Martin R 2014 Bioelectromagnetics 35 79
[19]	Zhao T Y, Zou S P, Knapp P E 2007 Neurosci. Lett. 412 34
[20]	Rianne S 2010 Brain Res. Rev. 65 80
[21]	Wachtel H, Seaman R, Joines W 1975 Ann. NY. Acad. Sci. 247 46
[22]	Claudia C, Caterina M, Carmela M, Barbara B 2012 Int. J. Biochem. Cell B 2012 683897
[23]	Wechsler L S, Checkoway H, Franklin G M, Costa L G 1991 Neurotoxicology 12 387
[24]	Johansen C 2000 Epidemiology 11 539
[25]	Noonan C W, Reif J S, Yost M, Touchstone J 2002 Scand. J. Work Env. Hea. 28 42
[26]	Huss A, Spoerri A, Egger M, Roosli M 2009 Am. J. Epidemiol. 169 167
[27]	Lobb C J 2014 Basal Ganglia 3 187
[28]	Remple M S, Bradenham C H 2011 Movement Disord. 26 1657
[29]	Nadia U, Nicolas R, Damien G, Bernard R, Guy C 2002 J. Neurosci. 22 8665
[30]	Moujahid A, d' Anjou A, Torrealdea F J 2011 Phys. Rev. E 83 031912
[31]	Moujahid A, d' Anjou A, Torrealdea F J, Torrealdea F 2011 Chaos Soliton. Fract. 44 929
[32]	Torrealdea F J, Sarasola C, d' Anjou A 2009 Chaos Soliton. Fract. 40 60
[33]	Torrealdea F J, Sarasola C, d' Anjoua A, Moujahida A, de Mendizábalc N V 2009 Biosystems 97 60
[34]	Allan H F 1998 Environ. Health Persp. 106 101
[35]	Yu Y G, Hill AP, McCormick D A 2012 PLoS Comput. Biol. 8 1
[36]	Foust A J, Yu Y G, Popovic M, Zecevic D 2011 J. Neurosci. 31 15490
[37]	Ermetrout G B, Terman D H 2010 Mathematical Foundations of Neuroscience (Vol.35) (New York: Springer) pp103-p127

[1]	丁大为, 王谋媛, 王金, 杨宗立, 牛炎, 王威. 电磁感应下分数阶神经网络动力学行为分析及应用. , 2024, 73(10): 100502. doi: 10.7498/aps.73.20231792
[2]	李瑞, 徐邦林, 周建芳, 姜恩华, 汪秉宏, 袁五届. 一种突触可塑性导致的觉醒-睡眠周期中突触强度变化和神经动力学转变. , 2023, 72(24): 248706. doi: 10.7498/aps.72.20231037
[3]	张天成, 成爱强, 包华广, 丁大志. 静态强磁场对临近空间飞行器中天线辐射性能的影响. , 2022, 71(8): 085202. doi: 10.7498/aps.71.20212044
[4]	梁艳美, 陆博, 古华光. 利用双慢变量的快慢变量分离分析新脑皮层神经元Wilson模型的复杂电活动. , 2022, 71(23): 230502. doi: 10.7498/aps.71.20221416
[5]	安新磊, 乔帅, 张莉. 基于麦克斯韦电磁场理论的神经元动力学响应与隐藏放电控制. , 2021, 70(5): 050501. doi: 10.7498/aps.70.20201347
[6]	赵雅琪, 刘谋天, 赵勇, 段利霞. 耦合前包钦格复合体神经元中复杂混合簇放电的动力学. , 2021, 70(12): 120501. doi: 10.7498/aps.70.20210093
[7]	姜伊澜, 陆博, 张万芹, 古华光. 快自突触反馈诱发混合簇放电的反常变化及分岔机制. , 2021, 70(17): 170501. doi: 10.7498/aps.70.20210208
[8]	华洪涛, 陆博, 古华光. 兴奋性自突触引起神经簇放电频率降低或增加的非线性机制. , 2020, 69(9): 090502. doi: 10.7498/aps.69.20191709
[9]	杨永霞, 李玉叶, 古华光. Pre-Bötzinger复合体的从簇到峰放电的同步转迁及分岔机制. , 2020, 69(4): 040501. doi: 10.7498/aps.69.20191509
[10]	曹奔, 关利南, 古华光. 兴奋性作用诱发神经簇放电个数不增反降的分岔机制. , 2018, 67(24): 240502. doi: 10.7498/aps.67.20181675
[11]	谢勇, 程建慧. 计算相位响应曲线的方波扰动直接算法. , 2017, 66(9): 090501. doi: 10.7498/aps.66.090501
[12]	任国栋, 武刚, 马军, 陈旸. 一类自突触作用下神经元电路的设计和模拟. , 2015, 64(5): 058702. doi: 10.7498/aps.64.058702
[13]	夏小飞, 王俊松. 基于分岔理论的突触可塑性对神经群动力学特性调控规律研究. , 2014, 63(14): 140503. doi: 10.7498/aps.63.140503
[14]	蒋树庆, 甯家敏, 陈法新, 叶繁, 薛飞彪, 李林波, 杨建伦, 陈进川, 周林, 秦义, 李正宏, 徐荣昆, 许泽平. Z箍缩动态黑腔动力学及辐射特性初步实验研究. , 2013, 62(15): 155203. doi: 10.7498/aps.62.155203
[15]	王付霞, 谢勇. "Hopf/homoclinic"簇放电和"SubHopf/homoclinic"簇放电之间的同步. , 2013, 62(2): 020509. doi: 10.7498/aps.62.020509
[16]	古华光, 朱洲, 贾冰. 一类新的混沌神经放电的动力学特征的实验和数学模型研究. , 2011, 60(10): 100505. doi: 10.7498/aps.60.100505
[17]	杨卓琴, 管亭亭, 甘春标, 张矫瑛. 双参数分岔平面内胰腺细胞的簇放电分析. , 2011, 60(11): 110202. doi: 10.7498/aps.60.110202
[18]	陈莹, 邱锡钧. 细胞骨架微管中水的电偶极集体辐射. , 2003, 52(6): 1554-1560. doi: 10.7498/aps.52.1554
[19]	唐昌建, 钱尚介. 离子通道回旋电子注受激辐射非线性理论. , 2002, 51(6): 1256-1261. doi: 10.7498/aps.51.1256
[20]	王之江. 电磁辐射的相干性. , 1963, 19(5): 320-335. doi: 10.7498/aps.19.320

计量

文章访问数: 8287
PDF下载量: 339
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板