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Chaotic behavior of the coronary circulation

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Abstract

The regulation of the coronary circulation is a complex paradigm in which many inputs that influence vasomotor tone have to be integrated to provide the coronary vasomotor adjustments to cardiac metabolism and to perfusion pressure. We hypothesized that the integration of many disparate signals that influence membrane potential of smooth muscle cells, calcium sensitivity of contractile filaments, receptor trafficking result in complex non-linear characteristics of coronary vasomotion. To test this hypothesis, we measured an index of vasomotion, flowmotion, the periodic fluctuations of flow that reflect dynamic changes in resistances in the microcirculation. Flowmotion was continuously measured in periods ranging from 15 to 40 min under baseline conditions, during antagonism of NO synthesis, and during combined purinergic and NOS antagonism in the beating heart of anesthetized open-chest dogs. Flowmotion was measured in arterioles ranging from 80 to 135 μm in diameter. The signals from the flowmotion measurements were used to derive quantitative indices of non-linear behavior: power spectra, chaotic attractors, correlation dimensions, and the sum of the Lyapunov exponents (Kolmogorov–Sinai entropy), which reflects the total chaos and unpredictability of flowmotion. Under basal conditions, the coronary circulation demonstrated chaotic non-linear behavior with a power spectra showing three principal frequencies in flowmotion. Blockade of nitric oxide synthase or antagonism of purinergic receptors did not affect the correlation dimensions, but significantly increased the Kolmogorov–Sinai entropy, altered the power spectra of flowmotion, and changed the nature of the chaotic attractor. These changes are consistent with the view that certain endogenous controls, nitric oxide and various purines (AMP, ADP, ATP, adenosine) make the coronary circulation more predictable, and that blockade of these controls makes the control of flow less predictable and more chaotic.

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Acknowldgments

The authors wish to thank Dr. David Defily for his invaluable contributions and Dr. Jennifer Taylor for her assistance with the data analysis.

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Authors and Affiliations

  1. Department of Systems Biology and Translational Medicine, Texas A&M Health Science Center College of Medicine, College Station, TX, USA

    Jerome Trzeciakowski

  2. Department of Integrative Medical Sciences, Northeastern Ohio Universities College of Medicine, 4209 State Route 44, PO Box 95, Rootstown, OH, 44272-0095, USA

    William M. Chilian

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  1. Jerome Trzeciakowski
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  2. William M. Chilian
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Correspondence to William M. Chilian.

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Supported by NIH grant HL32788.

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Trzeciakowski, J., Chilian, W.M. Chaotic behavior of the coronary circulation. Med Biol Eng Comput 46, 433–442 (2008). https://doi.org/10.1007/s11517-008-0329-8

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  • DOI: https://doi.org/10.1007/s11517-008-0329-8

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