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Theorems for Testing Local Activity of CNN and Application to Cardiac Purkinje Equations 被引量:1

Theorems for Testing Local Activity of CNN and Application to cardiac Purkinje Equations
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摘要 The theorems for testing the local in one-port cellular neural/inear network (CNN) cells with four local state variables are presented. Using the theorems computes the bifurcation diagrams of the cardiac Purkinje fiber (CPE) equations Which describethe long-lasting action and pace-maker potentials of the Purkinje fiber of the heart. The computer simulation shows that periodic trajectories or convergent trajectories of the CPF Equations can be foun if the cormsponing cell Parameters are located in a positive domainbut nearby edge of chaos. In particular a heart with approximate normal frequency of heartbeat but non-normal electrocardiogram maysuddenly stop by slightly perturbing the parameters of the corresponding CPF Equations when the Paramders are located nearby the edge of chaos in the bifurcation diagrams. This research seems to interpret reasonbly the phenomena that patients with cardiac diseases might suddenly die without warning. The theorems for testing the local in one-port cellular neural/inear network (CNN) cells with four local state variables are presented. Using the theorems computes the bifurcation diagrams of the cardiac Purkinje fiber (CPE) equations Which describethe long-lasting action and pace-maker potentials of the Purkinje fiber of the heart. The computer simulation shows that periodic trajectories or convergent trajectories of the CPF Equations can be foun if the cormsponing cell Parameters are located in a positive domainbut nearby edge of chaos. In particular a heart with approximate normal frequency of heartbeat but non-normal electrocardiogram maysuddenly stop by slightly perturbing the parameters of the corresponding CPF Equations when the Paramders are located nearby the edge of chaos in the bifurcation diagrams. This research seems to interpret reasonbly the phenomena that patients with cardiac diseases might suddenly die without warning.
出处 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2000年第2期139-146,共8页 矿物冶金与材料学报(英文版)
关键词 cellular neural network local activity cardiac Purkinje fiber HEARTBEAT cellular neural network local activity cardiac Purkinje fiber heartbeat
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  • 1V J.Arnold: Geometrical Methods in the Theory of Ordi-nary differential Equations[]..1988
  • 2J. Cronin.Mathematical aspects Of Hodgkin-Huxley neuraltheory[]..1987
  • 3G. Nicolis,I. Prigogine: Exploring Complexity: An Introduc-tion.Freeman[].New York.1989

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