Energy dependence on the electric activities of a neuron

doi:10.1088/1674-1056/24/12/128710

中国物理B ›› 2015, Vol. 24 ›› Issue (12): 128710-128710.doi: 10.1088/1674-1056/24/12/128710

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Energy dependence on the electric activities of a neuron

宋欣林^a, 靳伍银^b, 马军^a

a Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;
b College of Mechano-Electronic Engineering, University of Technology, Lanzhou 730050, China

收稿日期:2015-06-25 修回日期:2015-07-26 出版日期:2015-12-05 发布日期:2015-12-05
通讯作者: Ma Jun E-mail:hyperchaos@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11372122 and 11365014).

Energy dependence on the electric activities of a neuron

Song Xin-Lin (宋欣林)^a, Jin Wu-Yin (靳伍银)^b, Ma Jun (马军)^a

a Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;
b College of Mechano-Electronic Engineering, University of Technology, Lanzhou 730050, China

Received:2015-06-25 Revised:2015-07-26 Online:2015-12-05 Published:2015-12-05
Contact: Ma Jun E-mail:hyperchaos@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11372122 and 11365014).

摘要/Abstract

摘要： A nonlinear circuit can be designed by using inductor, resistor, capacitor and other electric devices, and the electromagnetic field energy can be released from the circuit in the oscillating state. The generation of spikes or bursting states in neurons could be energetically a costly process. Based on the Helmholtz's theorem, a Hamilton energy function is defined to detect the energy shift induced by transition of electric modes in a Hindmarsh-Rose neuron. It is found that the energy storage is dependent on the external forcing, and energy release is associated with the electric mode. As a result, the bursting state and chaotic state could be helpful to release the energy in the neuron quickly.

关键词: Hindmarsh-Rose neuron, Helmholtz', s theorem, energy, bursting

Abstract: A nonlinear circuit can be designed by using inductor, resistor, capacitor and other electric devices, and the electromagnetic field energy can be released from the circuit in the oscillating state. The generation of spikes or bursting states in neurons could be energetically a costly process. Based on the Helmholtz's theorem, a Hamilton energy function is defined to detect the energy shift induced by transition of electric modes in a Hindmarsh-Rose neuron. It is found that the energy storage is dependent on the external forcing, and energy release is associated with the electric mode. As a result, the bursting state and chaotic state could be helpful to release the energy in the neuron quickly.

Key words: Hindmarsh-Rose neuron, Helmholtz's theorem, energy, bursting

中图分类号: (Neuronal wave propagation)

87.19.lq

87.18.Hf (Spatiotemporal pattern formation in cellular populations) 05.45.-a (Nonlinear dynamics and chaos)

宋欣林, 靳伍银, 马军. Energy dependence on the electric activities of a neuron[J]. 中国物理B, 2015, 24(12): 128710-128710.

Song Xin-Lin (宋欣林), Jin Wu-Yin (靳伍银), Ma Jun (马军). Energy dependence on the electric activities of a neuron[J]. Chin. Phys. B, 2015, 24(12): 128710-128710.

参考文献 43

[1]	Laughlin S B and Attwell D 2001 J. Cereb. Blood Flow. Metab. 21 1133
[2]	Harris J J, Jolivet R and Attwell D 2012 Neuron 75 762
[3]	Alle H, Roth A and Geiger J R P 2009 Science 325 1405
[4]	Bélanger M, Allaman I and Magistretti P J 2011 Cell Metab. 14 724
[5]	Wei W and Zuo M 2015 Chin. Phys. B 24 080501
[6]	Storace M, Linaro D and de Lange E 2008 Chaos 18 033128
[7]	Rech P C 2012 Chin. Phys. Lett. 29 060506
[8]	Kitajima H and Yoshihara T 2012 Physica D 241 1804
[9]	Wig G S, Schlaggar B L and Petersen S E 2011 Ann. N. Y. Acad. Sci. 1224 126
[10]	Huang X H and Hu G 2014 Chin. Phys. B 23 0108703
[11]	Ibarz B, Casado J M and Sanjuán M A F 2011 Phys. Rep. 501 1
[12]	Wang H X, Wang Q Y and Zheng Y H 2014 Sci. China-Tech. Sci. 57 872
[13]	Yı lmaz E, Uzuntarla M, Ozer M and Perc M 2013 Physica A 392 5735
[14]	Wang Q Y, Zhang H H, Perc M and Chen G R 2012 Commun. Nonlinear Sci. Numer. Simul. 17 3979
[15]	Hu B L, Ma J and Tang J 2013 PLoS One 8 e69251
[16]	Ma J, Hu B L, Wang C N and Jin W Y 2013 Nonlinear Dyn. 73 73
[17]	Perc M 2008 Phys. Rev. E 78 036105
[18]	Qin H X, Ma J, Jin W Y and Wang C N 2014 Commun. Theor. Phys. 62 755
[19]	Qin H X, Ma J, Wang C N and Chu R T 2014 Sci. China-Phys. Mech. Astron. 57 1918
[20]	Ma J, Wu Y, Wu N J and Guo H Y 2013 Sci. China-Phys. Mech. Astron. 56 952
[21]	Wu X Y, Ma J, Yuan L H and Liu Y 2014 Nonlinear Dyn. 75 113
[22]	Ren G D, Wu G, Ma J and Chen Y 2015 Acta Phys. Sin. 64 058702 (in Chinese)
[23]	Dahasert N, Öztürk I and Kiliç R 2012 Nonlinear Dyn. 70 2343
[24]	Chen W, Rolls E T, Gu H G, Zhang J and Feng J F 2015 Brain 138 1382
[25]	Jia B, Gu H G and Song S L 2013 Sci. China-Phys. Mech. Astron. 43 518
[26]	Gu H G, Pan B B and Xu J 2014 Europhys. Lett. 106 50003
[27]	Gu H G and Chen S G 2014 Sci. China-Tech. Sci. 57 864
[28]	Gu H G 2013 Chaos 23 023126
[29]	Sarasola C, Torrealdea FJ, d'Anjou A, Moujahid A and Graña M 2004 Phys. Rev. E 69 011606
[30]	Torrealdea FJ, d'Anjou A, Graña M and Sarasola C 2006 Phys. Rev. E 74 011905
[31]	Torrealdea FJ, Sarasola C and d'Anjou A 2009 Chaos, Solitons and Fractals 40 60
[32]	Shih-Chiung L, Mayer-Kress G, Sosnoff J J and Newell K M 2005 Acta Psychol. 119 283
[33]	Jin X, Chen A H, Gong H Q and Liang P J 2005 Brain Res. 1055 156
[34]	Yu L C and Liu L W 2014 Phys. Rev. E 89 032725
[35]	Wang H Q, Yu L C and Chen Y 2009 Acta Phys. Sin. 58 5070 (in Chinese)
[36]	Torrealdea F J, Sarasola C, d'Anjou A, Moujahid A and de Mendizábal N V 2009 BioSys. 97 60
[37]	Moujahid A, d'Anjou A, Torrealdea F J and Torrealdea F 2011 Chaos, Solitons and Fractals 44 929
[38]	Hindmarsh J and Rose R 1984 Proc. R. Soc. Lond. Ser. B 221 87
[39]	Herz A V M, Gollisch T, Machens C K and Jaeger D 2006 Science 314 80
[40]	Wang R B, Zhang Z K, Qu J Y and Cao J T 2011 IEEE T. Neur. Netw. 22 1097
[41]	Wang R B, Zhang Z K and Chen G R 2009 Neurocomput. 73 139
[42]	Wang R B, Zhang Z K and Chen G R 2008 IEEE T. Neur. Netw. 19 535
[43]	Kobe D H 1986 Am. J. Phys. 54 552

Energy dependence on the electric activities of a neuron

Energy dependence on the electric activities of a neuron

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