心脏起搏器混沌模型的线性反馈控制
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摘要
改进了一个心脏起搏器混沌状态的数学模型,对其基本动力学行为进行了分析,数值模拟和电路仿真证明了该模型的混沌特性.利用线性反馈理论,设计了一个简单的线性反馈控制器,对心脏起搏器混沌模型进行控制研究.结果表明:线性反馈控制器能够很快将模型由混沌状态控制到周期状态,即从病态恢复心脏起搏器正常运动机制,从而使心脏恢复窦性心律.
A mathematical chaotic model of pacemaker was improved in this paper.The basic dynamics analysis was given,numerical simulation and circuit simulation were carried out to prove the chaotic characteristics of the model.Using linear feedback theory,a simple linear feedback controller is designed to control the pacemaker chaos model.The numerical simulation and circuit simulation results show that the linear feedback controller can quickly control the model from the chaotic state to the periodic state.That is recovered from the pathological normal pacemakers motility mechanism,so that the heart to restore sinus rhythm.
A mathematical chaotic model of pacemaker was improved in this paper.The basic dynamics analysis was given,numerical simulation and circuit simulation were carried out to prove the chaotic characteristics of the model.Using linear feedback theory,a simple linear feedback controller is designed to control the pacemaker chaos model.The numerical simulation and circuit simulation results show that the linear feedback controller can quickly control the model from the chaotic state to the periodic state.That is recovered from the pathological normal pacemakers motility mechanism,so that the heart to restore sinus rhythm.
引文
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[13]贡崇颖,李医民,孙曦浩.肌型血管生物数学模型的自适应Backstepping控制设计[J].生物数学学报,2007,22(3):503-508.
[14]周凤燕,李医民.Willis环状脑动脉瘤系统的自适应模糊控制[J].数学的实践与认识,2006,36(11):77-83.
[15]GARFINKEL A,SPANO M,DITTO W,et al.Controlling cardiac chaos[J].Science,1992,257:1230-1235.
[16]GRUDZINSKI K,ZEBROWSKI J.Modelig cardiac pacemakers with relaxation oscillators[J].Phys A,2004,336:153-62.
[17]WANG W,WANG F,LIU G.Influence of exercise daily-night rhythm and respiration on the heart rate variability[J].Chinese Journal of Clinical Rehabilitation,2003,12:1790-1791.
[2]李璞,江镭,孙媛媛.面向全光物理随机数发生器的混沌实时光采样研究[J].物理学报,2015,64(23):2305-2307.
[3]郑金存,张慧,覃斌毅.变参数混沌信号应用于经皮神经电刺激的探索研究[J].生物医学工程学杂志,2015,32(5):1031-1037.
[4]LAI H,HUANG Y.Chaotic secure communication based on synchronization control of chaotic pilot signal[M].Computational Intelligence and Intelligent Systems.Berlin:Springer.2015:640-647.
[5]RUI W,HUI S,JIE W,et al.Applications of modularized circuit designs in a new hyper-chaotic system ci[J].Chinese Physics B,2015,24(2):020501-020503.
[6]GUEVARA R,GLASS L,SHRIER A.Phase locking period-doubling bifurcation,and irregular dynamics in periodically stimulates cardiac cells.[J].Science,1981,214:1350-1353.
[7]王兴元,复杂非线性系统中的混沌[M].北京:电子工业出版社,2003:12-15.
[8]刘秉正,生命科学中的混沌[M].长春:东北师范大学出版社,1999:25-32.
[9]方锦清,驾驭混沌与发展高新技术[M].北京:原子能出版,2002:3-4
[10]何钰泉,唐芳.人心脏低维动力学模型的混沌控制[J].生物物理学报,1979,13(3):435-440.
[11]WANG XINGYUAN,MA CHAO.On the control of the epidemic model with seasonality and strategies to prevent the diseases[J].Science,Chaos,2012,69:511-517.
[12]李医民,武传花,张翠强.三种群赤潮生物混沌系统的脉冲鲁棒控制[J].生物数学学报,2009,24(3):721-725.
[13]贡崇颖,李医民,孙曦浩.肌型血管生物数学模型的自适应Backstepping控制设计[J].生物数学学报,2007,22(3):503-508.
[14]周凤燕,李医民.Willis环状脑动脉瘤系统的自适应模糊控制[J].数学的实践与认识,2006,36(11):77-83.
[15]GARFINKEL A,SPANO M,DITTO W,et al.Controlling cardiac chaos[J].Science,1992,257:1230-1235.
[16]GRUDZINSKI K,ZEBROWSKI J.Modelig cardiac pacemakers with relaxation oscillators[J].Phys A,2004,336:153-62.
[17]WANG W,WANG F,LIU G.Influence of exercise daily-night rhythm and respiration on the heart rate variability[J].Chinese Journal of Clinical Rehabilitation,2003,12:1790-1791.