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Action potential initial dynamical control and analysis of a minimum neuron model

Jin Qi-Tao Wang Jiang Wei Xi-Le Deng Bin Che Yan-Qiu

Action potential initial dynamical control and analysis of a minimum neuron model

Jin Qi-Tao, Wang Jiang, Wei Xi-Le, Deng Bin, Che Yan-Qiu
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  • Neuron is a basic unit of information transmission in the nervous system . Neuron encodes the information input from the dendrites by generating action potential sequences of different firing patterns. The different firing patterns result from different action potential initial dynamic mechanisms for neurons to generate spikes. The result of competition between neuron ion currents with different dynamic features in the sub threshold potential determines the action potential initial dynamic mechanism. In this paper, we adopt a minimum neuron model to design the wash-out filter from a physiological view for achieving the transition between different action potential initial dynamic mechanisms and for verifying that the wash-out filter control changes the action potential initial dynamic mechanism of neuron by affecting the result of competition between currents with different dynamic features in the sub-threshold potential.
    • Funds:
    [1]

    Prescott S A, Stéphanie Ratté, Yves De Koninck, Sejnowski T J 2006 J. Neurosci. 26 9084

    [2]

    Prescott S A, Stéphanie Ratté, Yves De Koninck, Sejnowski T J 2008 J. Neurophysiol 100 3030

    [3]

    Natalia Toporikova, Jö el Tabak, Freeman M E, Richard Bertram 2008 Neural Computation 20 436

    [4]

    Somjen G G, Kager H, Wadman W J 2009 J. Comput. Neurosci. 26 139

    [5]

    Santos D O C, Rodrigues A M, de Almeida A C G, Dickman R 2009 Phys. Biol. 6 046019

    [6]

    Cressman J R, Jr, Ghanim Ullah, Jokubas Ziburkus, Schiff S J, Ernest Barreto 2009 J. Comput. Neurosci. 26 159

    [7]

    Ghanim Ullah, Cressman J R Jr, Ernest Barreto, Schiff S J 2009 J. Comput. Neurosci. 26 171

    [8]

    Prescott S A, Yves De Koninck, Sejnowski T J 2008 PLoS Comput. Biol. 4 e1000198

    [9]

    Colwell L J, Brenner M P 2009 PLoS Comput. Biol. 5 e1000265

    [10]

    Izhikevich E M 2005 Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Cambridge: The MIT Press) p1

    [11]

    Per Danzl, Joo Hespanha, Jeff Moehlis 2009 Biol. Cybern 101 387

    [12]

    Wang J, Chen L Q, Fei X Y 2007 Chaos, Solitons and Fractals 31 247

    [13]

    Wang J, Chen L Q, Fei X Y 2007 Chaos, Solitons and Fractals 33 217

    [14]

    Xie Y, Kazuyuki Aihara, Kang Y M 2008 Phys. Rev. E 77 021917

    [15]

    Xie Y, Luonan Chen, Kang Y M, Kazuyuki Aihara 2008 Phys. Rev. E 77 061921

    [16]

    Ding L, Hou C 2009 Nonlinear Dyn doi:10.1007

    [17]

    Ozgur R Doruk 2010 Computer Methods and Programs in Biomedicine 99 98

    [18]

    Ozgur R Doruk 2010 Turk J. Elec. Eng. & Comp. Sci. 18 doi:10.3906

    [19]

    Fidel Santamaria, Tripp P G, Bower J M 2007 J. Neurophysiol. 97 248

    [20]

    Hodgkin, A, Huxley A 1952 J. Physiol. 117 500

    [21]

    FitzHugh R 1961 Biophysical J. 1 445

    [22]

    Nagumo J, Arimoto S, Yoshizawa S 1962 Proc IRE 50 2061

    [23]

    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 物理学报 58 5065]

    [24]

    Yu H J, Tong W J 2009 Acta Phys. Sin. 58 2977 (in Chinese) [于洪洁、童伟君 2009 物理学报58 2977]

    [25]

    Liu Y, Xie Y 2010 Acta Phys. Sin. 59 2147 (in Chinese) [刘 勇、谢 勇 2010 物理学报59 2147]

    [26]

    Wang B Y, Xu W, Xing Z C 2009 Acta Phys. Sin. 58 6590 (in Chinese) [王宝燕、徐 伟、邢真慈 2009 物理学报 58 6590]

    [27]

    Hilaire M, St Longtin A 2004 J. Comput. Neurosci. 16 299

    [28]

    Izhikevich E M 2004 IEEE Transactions on Neural Networks 15 1063

    [29]

    Hann P J, Durang D M 2001 J. Comput. Neurosci. 11 5

    [30]

    Jean Marc Goaillard, Eve Marder 2005 Physiology 21 197

    [31]

    Kepecs A, Wang X J 2000 Neurocomputing 32 81

    [32]

    Olypher A V, Prinz A A 2010 J. Comput. Neurosci. 8 20

    [33]

    Huber M T, Braun H A 2006 Phys. Rev. E 73 1

    [34]

    Tateno T, Robinson H P C 2005 J. Neurophysiol. 95 2650

    [35]

    Dudman J T, Nolan M F 2009 PLoS Comput Biol 5 e1000290:1-20

    [36]

    Stefanescu R A, Jirsa V K 2008 PLoS Comput. Biol. 4 e1000219

    [37]

    Yang Z Q 2010 Acta Phys. Sin. 59 5319 (in Chinese) [杨卓琴 2010 物理学报 59 5319]

    [38]

    Borisyuk A, Rinzel J 2005 Models and Methods in Neurophysics 19

    [39]

    Shi X, Lu Q S 2005 Chin. Phys. 14 77

    [40]

    Zhao D J, Zeng S Y, Zhang Z Z 2010 Chin. Phys. B 19 108701

    [41]

    Xie Y, Xu J X, Kang Y M, Hu S J, Duan Y B 2004 Chin. Phys. 13 1396

    [42]

    Yang Z Q, Lu Q S 2006 Chin. Phys. 15 518

  • [1]

    Prescott S A, Stéphanie Ratté, Yves De Koninck, Sejnowski T J 2006 J. Neurosci. 26 9084

    [2]

    Prescott S A, Stéphanie Ratté, Yves De Koninck, Sejnowski T J 2008 J. Neurophysiol 100 3030

    [3]

    Natalia Toporikova, Jö el Tabak, Freeman M E, Richard Bertram 2008 Neural Computation 20 436

    [4]

    Somjen G G, Kager H, Wadman W J 2009 J. Comput. Neurosci. 26 139

    [5]

    Santos D O C, Rodrigues A M, de Almeida A C G, Dickman R 2009 Phys. Biol. 6 046019

    [6]

    Cressman J R, Jr, Ghanim Ullah, Jokubas Ziburkus, Schiff S J, Ernest Barreto 2009 J. Comput. Neurosci. 26 159

    [7]

    Ghanim Ullah, Cressman J R Jr, Ernest Barreto, Schiff S J 2009 J. Comput. Neurosci. 26 171

    [8]

    Prescott S A, Yves De Koninck, Sejnowski T J 2008 PLoS Comput. Biol. 4 e1000198

    [9]

    Colwell L J, Brenner M P 2009 PLoS Comput. Biol. 5 e1000265

    [10]

    Izhikevich E M 2005 Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting (Cambridge: The MIT Press) p1

    [11]

    Per Danzl, Joo Hespanha, Jeff Moehlis 2009 Biol. Cybern 101 387

    [12]

    Wang J, Chen L Q, Fei X Y 2007 Chaos, Solitons and Fractals 31 247

    [13]

    Wang J, Chen L Q, Fei X Y 2007 Chaos, Solitons and Fractals 33 217

    [14]

    Xie Y, Kazuyuki Aihara, Kang Y M 2008 Phys. Rev. E 77 021917

    [15]

    Xie Y, Luonan Chen, Kang Y M, Kazuyuki Aihara 2008 Phys. Rev. E 77 061921

    [16]

    Ding L, Hou C 2009 Nonlinear Dyn doi:10.1007

    [17]

    Ozgur R Doruk 2010 Computer Methods and Programs in Biomedicine 99 98

    [18]

    Ozgur R Doruk 2010 Turk J. Elec. Eng. & Comp. Sci. 18 doi:10.3906

    [19]

    Fidel Santamaria, Tripp P G, Bower J M 2007 J. Neurophysiol. 97 248

    [20]

    Hodgkin, A, Huxley A 1952 J. Physiol. 117 500

    [21]

    FitzHugh R 1961 Biophysical J. 1 445

    [22]

    Nagumo J, Arimoto S, Yoshizawa S 1962 Proc IRE 50 2061

    [23]

    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 物理学报 58 5065]

    [24]

    Yu H J, Tong W J 2009 Acta Phys. Sin. 58 2977 (in Chinese) [于洪洁、童伟君 2009 物理学报58 2977]

    [25]

    Liu Y, Xie Y 2010 Acta Phys. Sin. 59 2147 (in Chinese) [刘 勇、谢 勇 2010 物理学报59 2147]

    [26]

    Wang B Y, Xu W, Xing Z C 2009 Acta Phys. Sin. 58 6590 (in Chinese) [王宝燕、徐 伟、邢真慈 2009 物理学报 58 6590]

    [27]

    Hilaire M, St Longtin A 2004 J. Comput. Neurosci. 16 299

    [28]

    Izhikevich E M 2004 IEEE Transactions on Neural Networks 15 1063

    [29]

    Hann P J, Durang D M 2001 J. Comput. Neurosci. 11 5

    [30]

    Jean Marc Goaillard, Eve Marder 2005 Physiology 21 197

    [31]

    Kepecs A, Wang X J 2000 Neurocomputing 32 81

    [32]

    Olypher A V, Prinz A A 2010 J. Comput. Neurosci. 8 20

    [33]

    Huber M T, Braun H A 2006 Phys. Rev. E 73 1

    [34]

    Tateno T, Robinson H P C 2005 J. Neurophysiol. 95 2650

    [35]

    Dudman J T, Nolan M F 2009 PLoS Comput Biol 5 e1000290:1-20

    [36]

    Stefanescu R A, Jirsa V K 2008 PLoS Comput. Biol. 4 e1000219

    [37]

    Yang Z Q 2010 Acta Phys. Sin. 59 5319 (in Chinese) [杨卓琴 2010 物理学报 59 5319]

    [38]

    Borisyuk A, Rinzel J 2005 Models and Methods in Neurophysics 19

    [39]

    Shi X, Lu Q S 2005 Chin. Phys. 14 77

    [40]

    Zhao D J, Zeng S Y, Zhang Z Z 2010 Chin. Phys. B 19 108701

    [41]

    Xie Y, Xu J X, Kang Y M, Hu S J, Duan Y B 2004 Chin. Phys. 13 1396

    [42]

    Yang Z Q, Lu Q S 2006 Chin. Phys. 15 518

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Publishing process
  • Received Date:  11 August 2010
  • Accepted Date:  10 December 2010
  • Published Online:  15 September 2011

Action potential initial dynamical control and analysis of a minimum neuron model

  • 1. School of Electrical and Automation Eng., Tianjin University, Tianjin 300072, China

Abstract: Neuron is a basic unit of information transmission in the nervous system . Neuron encodes the information input from the dendrites by generating action potential sequences of different firing patterns. The different firing patterns result from different action potential initial dynamic mechanisms for neurons to generate spikes. The result of competition between neuron ion currents with different dynamic features in the sub threshold potential determines the action potential initial dynamic mechanism. In this paper, we adopt a minimum neuron model to design the wash-out filter from a physiological view for achieving the transition between different action potential initial dynamic mechanisms and for verifying that the wash-out filter control changes the action potential initial dynamic mechanism of neuron by affecting the result of competition between currents with different dynamic features in the sub-threshold potential.

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