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Power Laws, Transients, Attractors, and Entropy: Possible Implications for Cardiovascular Dynamics

  • J. P. Zbilut
Part of the Springer Series in Synergetics book series (SSSYN, volume 55)

Abstract

Considerable work has been done to demonstrate that the dynamics of the cardiovascular system is nonlinear. What has not been well recognized is that the system is essentially governed by transients. Conversely, then, if a system component’s dynamics become dominated by basins of attraction, pathology may ensue. It is heuristically demonstrated that a critical feature of possible pathology is the relation of the system entropy to component entropy: if a component’s (sub) basin of attraction is accompanied by a decrease in entropy, it may become informationally isolated. A method, originally suggested by Eckmann, et al., is proposed which may be able to detect such changes without the need to reconstruct a global attractor.

Keywords

Power Spectrum Lyapunov Exponent Global Attractor Congestive Heart Failure Patient Regional Wall Motion Abnormality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • J. P. Zbilut
    • 1
    • 2
  1. 1.Departments of Physiology and OR/Surgical NursingRush-Presbyterian-St. Luke’s Medical CenterChicagoUSA
  2. 2.Section of Cardiology, VA Edward HinesJr. HospitalHinesUSA

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