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神经群模型可模拟产生癫痫发作间歇期、发作前期和发作期的脑电信号. 本文基于代数估计法,给出一种新型的闭环反馈控制策略以消除神经群模型中的癫痫状棘波. 代数估计法用以观测模型中的状态以进一步构造控制器.在多个神经群耦合的模型中, 通过数值仿真研究了与所给的闭环反馈控制策略相关的一些特性,包括受控神经群的类型 与消除棘波的能力之间的关系、受控神经群的数目与控制能量之间的关系、模型的参量和控制能量之间的关系,以期建立合适的控制规则实现利用尽可能小的控制能量消除癫痫状棘波. 此外,通过数值仿真对基于代数估计法的闭环反馈控制策略和直接比例反馈控制策略进行比较, 结果表明,利用代数估计法进行滤波能减少消除癫痫状棘波所需的控制能量.Neural mass models can produce electroencephalography (EEG) like signals corresponding to interical, pre-ictal and ictal activities. In this paper, a novel closed-loop feedback control strategy based on algebraic estimation is proposed to eliminate epileptiform spikes in neural mass models. Algebraic estimation plays a role in observing the states of the model in order to construct the controller. For a network of coupled neural populations, the characteristics regarding the closed-loop feedback control strategy, including the relationship between the type of controlled populations and the ability of eliminating epileptiform spikes, the relationship between the number of controlled populations and control energy, the relationship between the model parameters and control energy, are determined by numerical simulations. The purpose is to establish the rules for the proper control of eliminating epileptiform spikes with as less control energy as possible. Moreover, the proposed control-loop control strategy is compared with a direct proportional feedback control strategy by numerical simulations. It is shown that the use of algebraic estimation makes a reduction of control energy.
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Keywords:
- neural mass model /
- epileptiform spike /
- feedback control /
- algebraic estimation
[1] Meng Q F, Zhou W D, Chen Y H, Peng Y H 2010 Acta Phys. Sin. 59 123 (in Chinese) [孟庆芳, 周卫东, 陈月辉, 彭玉华 2010 59 123]
[2] Lee U, Kim S, Jung K Y 2006 Phys. Rev. E 73 041920
[3] Wang C, Zhang C, Zou J, Zhang J 2012 Phys. A 391 1602
[4] Serge F T, Oleg Y P, Yuriy S P, Sergey A D, Alexander Y K 2012 Phys. A 391 1179
[5] Ma Q L, Bian C H, Wang J 2010 Acta Phys. Sin. 59 4480 (in Chinese) [马千里, 卞春华, 王俊 2010 59 4480]
[6] Hashemi M, Valizadeh A, Azizi Y 2012 Phys. Rev. E 85 021917
[7] Liu S B, Wu Y, Hao Z W, Li Y J, Jia N 2012 Acta Phys. Sin. 61 020503 (in Chinese) [刘少宝, 吴莹, 郝忠文, 李银军, 贾宁 2012 61 020503]
[8] Yang Z Q 2010 Acta Phys. Sin. 59 5319 (in Chinese) [杨卓琴 2010 59 5319]
[9] Gu H G, Hui L, Jia B 2012 Acta Phys. Sin. 61 080504 (in Chinese) [古华光, 惠磊, 贾冰 2012 61 080504]
[10] Jansen B H, Rit V G 1995 Biol. Cybern. 73 357
[11] Lopes S F H, Hoeks A, Smits H, Zetterberg L H 1974 Kybernetik 15 27
[12] David O, Friston K J 2003 NeuroImage 20 1743
[13] Ursino M, Cona F, Zavaglia M 2010 NeuroImage 52 1080
[14] Spiegler A, Kiebel S J, Atay F M, KnÄosche T R 2010 NeuroImage 52 1041
[15] Huang G, Zhang D, Meng J, Zhu X 2011 Neurocomputing 74 1026
[16] Hao D M, Ruan X G 2005 Acta Biophys. Sin. 21 39 (in Chinese) [郝冬梅, 阮晓刚 2005 生物 21 39]
[17] Wendling F, Bellanger J J, Bartolomei F, Chauvel P 2000 Biol. Cybern. 83 367
[18] Goodfellow M, Schindler K, Baier G 2011 NeuroImage 55 920
[19] Goodfellow M, Schindler K, Baier G 2012 NeuroImage 59 2644
[20] Sunderam S, Gluckman B, Reato D, Bikson M 2010 Epilepsy and Behavior 17 6
[21] Doyle C D, Francis B A, Tannenbaum A R 1992 Feedback Control Theory (1st Ed.) (London: Macmillan) p31
[22] Sauer T D, Schiff J S 2009 Phys. Rev. E 79 051909
[23] Ullah G, Schiff J S 2009 Phys. Rev. E 79 040901
[24] Zehetner J, Reger J, Horn M 2007 16th IEEE International Conference on Control Applications Singapore, Republic of Singapore October 1-3, 2007 p331
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[1] Meng Q F, Zhou W D, Chen Y H, Peng Y H 2010 Acta Phys. Sin. 59 123 (in Chinese) [孟庆芳, 周卫东, 陈月辉, 彭玉华 2010 59 123]
[2] Lee U, Kim S, Jung K Y 2006 Phys. Rev. E 73 041920
[3] Wang C, Zhang C, Zou J, Zhang J 2012 Phys. A 391 1602
[4] Serge F T, Oleg Y P, Yuriy S P, Sergey A D, Alexander Y K 2012 Phys. A 391 1179
[5] Ma Q L, Bian C H, Wang J 2010 Acta Phys. Sin. 59 4480 (in Chinese) [马千里, 卞春华, 王俊 2010 59 4480]
[6] Hashemi M, Valizadeh A, Azizi Y 2012 Phys. Rev. E 85 021917
[7] Liu S B, Wu Y, Hao Z W, Li Y J, Jia N 2012 Acta Phys. Sin. 61 020503 (in Chinese) [刘少宝, 吴莹, 郝忠文, 李银军, 贾宁 2012 61 020503]
[8] Yang Z Q 2010 Acta Phys. Sin. 59 5319 (in Chinese) [杨卓琴 2010 59 5319]
[9] Gu H G, Hui L, Jia B 2012 Acta Phys. Sin. 61 080504 (in Chinese) [古华光, 惠磊, 贾冰 2012 61 080504]
[10] Jansen B H, Rit V G 1995 Biol. Cybern. 73 357
[11] Lopes S F H, Hoeks A, Smits H, Zetterberg L H 1974 Kybernetik 15 27
[12] David O, Friston K J 2003 NeuroImage 20 1743
[13] Ursino M, Cona F, Zavaglia M 2010 NeuroImage 52 1080
[14] Spiegler A, Kiebel S J, Atay F M, KnÄosche T R 2010 NeuroImage 52 1041
[15] Huang G, Zhang D, Meng J, Zhu X 2011 Neurocomputing 74 1026
[16] Hao D M, Ruan X G 2005 Acta Biophys. Sin. 21 39 (in Chinese) [郝冬梅, 阮晓刚 2005 生物 21 39]
[17] Wendling F, Bellanger J J, Bartolomei F, Chauvel P 2000 Biol. Cybern. 83 367
[18] Goodfellow M, Schindler K, Baier G 2011 NeuroImage 55 920
[19] Goodfellow M, Schindler K, Baier G 2012 NeuroImage 59 2644
[20] Sunderam S, Gluckman B, Reato D, Bikson M 2010 Epilepsy and Behavior 17 6
[21] Doyle C D, Francis B A, Tannenbaum A R 1992 Feedback Control Theory (1st Ed.) (London: Macmillan) p31
[22] Sauer T D, Schiff J S 2009 Phys. Rev. E 79 051909
[23] Ullah G, Schiff J S 2009 Phys. Rev. E 79 040901
[24] Zehetner J, Reger J, Horn M 2007 16th IEEE International Conference on Control Applications Singapore, Republic of Singapore October 1-3, 2007 p331
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