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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.
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Keywords:
- neuro-dynamics /
- electromagnetic radiation /
- bursting /
- dynamic bifurcation
[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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[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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