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

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[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 物理学报 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
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[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 物理学报 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 物理学报 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

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