Effect of inhomogeneous distribution of ion channels on collective electric activities of neurons in a ring network

Wu Xin-Yi; Ma Jun; Xie Zhen-Bo

doi:10.7498/aps.62.240507

Abstract

In this paper, we investigate the evolution and transition of collective electric activities of neurons in a ring network, induced by inhomogeneous distribution of ion channels. The local kinetics is measured by Morris-Lecar under voltage coupling type. In the numerical studies, the effect of inhomogeneous distribution of ion channels is simulated by changing the conductance in ion channels embedded in the membrane, and the potential mechanism is discussed. The effect of diversity of conductance between calcium and potassium ions on the activating of the adjacent neurons, and the dependence of developed travelling wave on the coupling intensity, are investigated in detail. The activating and waking up the nonexcitable or quiescent neurons with type I and type II excitability, are investigated, respectively. The numerical results confirm that the adjacent neurons are activated and the stable travelling wave is developed in the ring network of neurons when the conductance of calcium ions is increased beyond a certain threshold or the conductance of potassium ions is reduced below another threshold; while the propagation of the travelling wave could be slowed down or suppressed when the conductance of calcium ions is reduced or the conductance of potassium ion is increased. The development or emergence of travelling wave and propagation are greatly dependent on the increase of conductance of calcium ions and the decrease of potassium conductance.

Keywords:

Morris-Lecar neuron /
inhomogeneous distribution of ion channels /
ring network

Authors and contacts

1.
Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11265008).

References

[1]	Song Y L 2010 Acta Phys. Sin. 59 2334 (in Chinese) [宋艳丽2010 59 2334]
[2]	Touboul J, Brette R 2009 SIAM J. Appl. Dyn. Syst. 8 1462
[3]	Kashima K, Kawamura Y, Imura J 2011 Automatica 47 1249
[4]	Coombes S, Thul R, Wedgwood K C A 2012 Physica D 241 2042
[5]	Chen J, Li C G 2011 Acta Phys. Sin. 60 020502 (in Chinese) [陈军, 李春光 2011 60 020502]
[6]	Rech P C 2012 Chin. Phys. Lett. 29 60506
[7]	Lin K K, Shea-Brown E, Young L S 2009 J. Comput. Neurosci. 27 135
[8]	Liu Y, Xie Y 2010 Acta Phys. Sin. 59 2147 (in Chinese) [刘勇, 谢勇 2010 59 2147]
[9]	Ma Q Y, Haider M R, Shrestha V L, Massoud Y 2012 Analog. Integr. Circ. Sig. Proc. 73 329
[10]	Hindmarsh J L, Rose R M A 1984 Proc. R. Soc. London B 221 87
[11]	Duan L X, Lu Q S 2005 Chin. Phys. Lett. 22 1325
[12]	Wang P, Zhang J Q, Ren H L 2010 Chin. J. Chem. Phys. 23 23
[13]	Ma J, Huang L, Xie Z B, Wang C N 2012 Commun. Nonlinear Sci. Numer. Sim. 17 2659
[14]	Izhikevich 2004 IEEE Trans. Neural Networ. 15 1063
[15]	Sanger T D 1989 Neural Networks 2 459
[16]	Kawato M, Furukawa K, Suzuki R 1987 Biol. Cybern. 57 169
[17]	Richard M D, Lippmann R P 1991 Neural Comput. 3 484
[18]	Yu H T, Wang J, Liu C, Che Y Q, Deng B, Wei X L 2012 Acta Phys. Sin. 61 068702 (in Chinese) [于海涛, 王江, 刘晨, 车艳秋, 邓斌, 魏熙乐 2012 61 068702]
[19]	Li H, Zhang Y X, Polaskova P, Havel J 2002 Acta Chem. Sin. 60 1264 (in Chinese) [李华, 张雅雄, Polaskova P, Havel J 2002 化学学报 60 1264]
[20]	Zhang P J, Du L, Li Y L 2011 J. Syst. Sim. 23 2552 (in Chinese) [张平健, 杜雷, 李运龙 2011 系统仿真学报 23 2552]
[21]	Shao Y F 2012 Neurocomputing 93 1
[22]	Vreeswijk C, Sompolinsky H 1996 Science 274 1724
[23]	Marichal R L, González E J, Marichal G N 2012 Neural Networks 36 51
[24]	Wang Q Y, Perc M, Duan Z S 2010 Int. J. Mod. Phys. B 24 1201
[25]	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]
[26]	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]
[27]	Zhao L, Yang J P, Zheng Y H 2013 Acta Phys. Sin. 62 028701 (in Chinese) [赵龙, 杨继平, 郑艳红2013 62 028701]
[28]	Liang X B, Liu X S, Liu A Z, Wang B L 2009 Acta Phys. Sin. 58 5065 (in Chinese) [梁晓冰, 刘希顺, 刘安芝, 王博亮 2009 58 5065]
[29]	Wang H T, Wang L F, Yu L C, Chen Y 2011 Phys. Rev. E 83 021915
[30]	Lim S 2010 J. Comput. Neurosci. 28 1
[31]	Gong Y B, Lin X, Hao Y H, Ma X G 2011 Fluct. Noise Lett. 10 1
[32]	Grau-Moya J, Pons A J, Garcia-Ojalvo J 2012 Int. J. Bifur. Chaos 22 1250175
[33]	Gröschel M, Götze R, Ernst A, Basta D 2010 J. Neurotraum. 27 1499
[34]	Medvedev G S, Zhuravytska S 2012 J. Nonlinear Sci. 22 689
[35]	Morris C, Lecar H 1981 Biophys. J. 35 193
[36]	Gu H G, Jia B, Li Y Y, Chen G R 2013 Physica A 392 1361
[37]	Ma J, Xie Z B, Chen J X 2012 Acta Phys. Sin. 61 038701 (in Chinese) [马军, 谢振博, 陈江星 2012 61 038701]
[38]	Wu X Y, Ma J 2013 Plos One 18 55403
[39]	Wu X Y, Ma J, Li F, Jia Y 2013 Commun. Nonlinear Sci. Numer. Sim. 18 3350
[40]	Xue M, Wang J, Deng B, Wei X L, Chen Y Y 2013 Acta Phys. Sin. 62 098701 (in Chinese) [薛明, 王江, 邓斌, 魏熙乐, 陈颖源 2013 62 098701]

Cited By

[1]	Song Y L 2010 Acta Phys. Sin. 59 2334 (in Chinese) [宋艳丽2010 59 2334]
[2]	Touboul J, Brette R 2009 SIAM J. Appl. Dyn. Syst. 8 1462
[3]	Kashima K, Kawamura Y, Imura J 2011 Automatica 47 1249
[4]	Coombes S, Thul R, Wedgwood K C A 2012 Physica D 241 2042
[5]	Chen J, Li C G 2011 Acta Phys. Sin. 60 020502 (in Chinese) [陈军, 李春光 2011 60 020502]
[6]	Rech P C 2012 Chin. Phys. Lett. 29 60506
[7]	Lin K K, Shea-Brown E, Young L S 2009 J. Comput. Neurosci. 27 135
[8]	Liu Y, Xie Y 2010 Acta Phys. Sin. 59 2147 (in Chinese) [刘勇, 谢勇 2010 59 2147]
[9]	Ma Q Y, Haider M R, Shrestha V L, Massoud Y 2012 Analog. Integr. Circ. Sig. Proc. 73 329
[10]	Hindmarsh J L, Rose R M A 1984 Proc. R. Soc. London B 221 87
[11]	Duan L X, Lu Q S 2005 Chin. Phys. Lett. 22 1325
[12]	Wang P, Zhang J Q, Ren H L 2010 Chin. J. Chem. Phys. 23 23
[13]	Ma J, Huang L, Xie Z B, Wang C N 2012 Commun. Nonlinear Sci. Numer. Sim. 17 2659
[14]	Izhikevich 2004 IEEE Trans. Neural Networ. 15 1063
[15]	Sanger T D 1989 Neural Networks 2 459
[16]	Kawato M, Furukawa K, Suzuki R 1987 Biol. Cybern. 57 169
[17]	Richard M D, Lippmann R P 1991 Neural Comput. 3 484
[18]	Yu H T, Wang J, Liu C, Che Y Q, Deng B, Wei X L 2012 Acta Phys. Sin. 61 068702 (in Chinese) [于海涛, 王江, 刘晨, 车艳秋, 邓斌, 魏熙乐 2012 61 068702]
[19]	Li H, Zhang Y X, Polaskova P, Havel J 2002 Acta Chem. Sin. 60 1264 (in Chinese) [李华, 张雅雄, Polaskova P, Havel J 2002 化学学报 60 1264]
[20]	Zhang P J, Du L, Li Y L 2011 J. Syst. Sim. 23 2552 (in Chinese) [张平健, 杜雷, 李运龙 2011 系统仿真学报 23 2552]
[21]	Shao Y F 2012 Neurocomputing 93 1
[22]	Vreeswijk C, Sompolinsky H 1996 Science 274 1724
[23]	Marichal R L, González E J, Marichal G N 2012 Neural Networks 36 51
[24]	Wang Q Y, Perc M, Duan Z S 2010 Int. J. Mod. Phys. B 24 1201
[25]	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]
[26]	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]
[27]	Zhao L, Yang J P, Zheng Y H 2013 Acta Phys. Sin. 62 028701 (in Chinese) [赵龙, 杨继平, 郑艳红2013 62 028701]
[28]	Liang X B, Liu X S, Liu A Z, Wang B L 2009 Acta Phys. Sin. 58 5065 (in Chinese) [梁晓冰, 刘希顺, 刘安芝, 王博亮 2009 58 5065]
[29]	Wang H T, Wang L F, Yu L C, Chen Y 2011 Phys. Rev. E 83 021915
[30]	Lim S 2010 J. Comput. Neurosci. 28 1
[31]	Gong Y B, Lin X, Hao Y H, Ma X G 2011 Fluct. Noise Lett. 10 1
[32]	Grau-Moya J, Pons A J, Garcia-Ojalvo J 2012 Int. J. Bifur. Chaos 22 1250175
[33]	Gröschel M, Götze R, Ernst A, Basta D 2010 J. Neurotraum. 27 1499
[34]	Medvedev G S, Zhuravytska S 2012 J. Nonlinear Sci. 22 689
[35]	Morris C, Lecar H 1981 Biophys. J. 35 193
[36]	Gu H G, Jia B, Li Y Y, Chen G R 2013 Physica A 392 1361
[37]	Ma J, Xie Z B, Chen J X 2012 Acta Phys. Sin. 61 038701 (in Chinese) [马军, 谢振博, 陈江星 2012 61 038701]
[38]	Wu X Y, Ma J 2013 Plos One 18 55403
[39]	Wu X Y, Ma J, Li F, Jia Y 2013 Commun. Nonlinear Sci. Numer. Sim. 18 3350
[40]	Xue M, Wang J, Deng B, Wei X L, Chen Y Y 2013 Acta Phys. Sin. 62 098701 (in Chinese) [薛明, 王江, 邓斌, 魏熙乐, 陈颖源 2013 62 098701]

[1]	Xu Zi-Heng, He Yu-Zhu, Kang Yan-Mei. Color image perception based on stochastic spiking neural network. Acta Physica Sinica, 2022, 71(7): 070501. doi: 10.7498/aps.71.20211982
[2]	Huang Ying, Gu Chang-Gui, Yang Hui-Jie. Junk-neuron-deletion strategy for hyperparameter optimization of neural networks. Acta Physica Sinica, 2022, 71(16): 160501. doi: 10.7498/aps.71.20220436
[3]	Gu Ya-Na, Liang Yan, Wang Guang-Yi, Xia Chen-Yang. Design of NbO_x memristive neuron and its application in spiking neural networks. Acta Physica Sinica, 2022, 71(11): 110501. doi: 10.7498/aps.71.20220141
[4]	Ding Xue-Li, Gu Hua-Guang, Jia Bing, Li Yu-Ye. Anticipated synchronization of electrical activity induced by inhibitory autapse in coupled Morris-Lecar neuron model. Acta Physica Sinica, 2021, 70(21): 218701. doi: 10.7498/aps.70.20210912
[5]	Wang Peng, Li Qian-Yun, Huang Zhi-Jing, Tang Guo-Ning. Spontaneous formation of ordered waves in chaotic neuronal network with excitory-inhibitory connections. Acta Physica Sinica, 2018, 67(17): 170501. doi: 10.7498/aps.67.20180506
[6]	Zhang Lan-Yue, Ding Dan-Dan, Yang De-Sen, Shi Sheng-Guo, Zhu Zhong-Rui. Noise source identification by using near field acoustic holograpy and focused beamforming based on spherical microphone array with random unifrom distribution of elements. Acta Physica Sinica, 2017, 66(1): 014303. doi: 10.7498/aps.66.014303
[7]	Xu Ying, Wang Chun-Ni, Jin Wu-Yin, Ma Jun. Investigation of emergence of target wave and spiral wave in neuronal network induced by gradient coupling. Acta Physica Sinica, 2015, 64(19): 198701. doi: 10.7498/aps.64.198701
[8]	Xiu Chun-Bo, Liu Chang, Guo Fu-Hui, Cheng Yi, Luo Jing. Control strategy and application of hysteretic chaotic neuron and neural network. Acta Physica Sinica, 2015, 64(6): 060504. doi: 10.7498/aps.64.060504
[9]	Sun Xiao-Juan, Yang Bai-Hua, Wu Ye, Xiao Jing-Hua. Effects of arrangement of heterogeneous neurons on frequency synchronization of a ring-coupled neuronal network. Acta Physica Sinica, 2014, 63(18): 180507. doi: 10.7498/aps.63.180507
[10]	Wang Rong, Wu Ying, Liu Shao-Bao. Effect of ion channel random blocking on the spatiotemporal dynamics of neuronal network. Acta Physica Sinica, 2013, 62(22): 220504. doi: 10.7498/aps.62.220504
[11]	Zhao Long, Yang Ji-Ping, Zheng Yan-Hong. Modulation of nonlinear coupling on the synchronization induced by linear coupling. Acta Physica Sinica, 2013, 62(2): 028701. doi: 10.7498/aps.62.028701
[12]	Hu Bo-Lin, Ma Jun, Li Fan, Pu Zhong-Sheng. Mechanism of target wave excited by current with diversity. Acta Physica Sinica, 2013, 62(5): 058701. doi: 10.7498/aps.62.058701
[13]	Ma Jun, Xie Zhen-Bo, Chen Jiang-Xing. Numerical study of the death and breakup of spiral wave in the networks of thermosensitive neurons. Acta Physica Sinica, 2012, 61(3): 038701. doi: 10.7498/aps.61.038701
[14]	Wu Wang-Sheng, Tang Guo-Ning. Synchronizations of chaotic neuronal networks under different couplings. Acta Physica Sinica, 2012, 61(7): 070505. doi: 10.7498/aps.61.070505
[15]	Liu Shao-Bao, Wu Ying, Hao Zhong-Wen, Li Yin-Jun, Jia Ning. Effects of sodium and potassium ion channel fluctuation on the spatiotemporal patterns of neuronal network. Acta Physica Sinica, 2012, 61(2): 020503. doi: 10.7498/aps.61.020503
[16]	Li Yu-Ye, Jia Bing, Gu Hua-Guang. Multiple spatial coherence resonances induced by white gaussian noise in excitable network composed of Morris-Lecar model with class Ⅱ excitability. Acta Physica Sinica, 2012, 61(7): 070504. doi: 10.7498/aps.61.070504
[17]	Wang Hui-Qiao, Yu Lian-Chun, Chen Yong. Effects of channel noise on metabolic energy cost of action potentials. Acta Physica Sinica, 2009, 58(7): 5070-5074. doi: 10.7498/aps.58.5070
[18]	Wang Rui-Min, Zhao Hong. The role of neuron transfer function in artificial neural networks. Acta Physica Sinica, 2007, 56(2): 730-739. doi: 10.7498/aps.56.730
[19]	Qiao Xiao-Yan, Li Gang, Lin Ling, He Bing-Jun. Research on characteristics of neuron potassium channel under low level laser irradiation. Acta Physica Sinica, 2007, 56(4): 2448-2455. doi: 10.7498/aps.56.2448
[20]	CHANG SHENG-JIANG, LIU YUE, ZHANG WEN-WEI, SHEN JIN-YUAN, ZHAI HONG-CHEN, ZHANG YAN-XIN. A NEURAL NETWORK MODEL FOR UNEQUALLY DISTRIBUTED NEURON STATES AND ITS OPTICAL IMPLEMENTATION. Acta Physica Sinica, 1998, 47(7): 1101-1109. doi: 10.7498/aps.47.1101

Catalog

Vol. 62, Issue 24 - 2013-12-20

Metrics

Abstract views: 5564
PDF Downloads: 493
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板