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An Approximate Method to Find Changes in the Blood Flow Rate Due to Planar Pathological Tortuosity of a Larger Coronary Artery

Received: 30 January 2017    Accepted: 22 February 2017    Published: 15 March 2017
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Abstract

Proceed from the analysis of coronarographies of patients with cardiac ischemia and cardiac syndrome X, an approximate method is developed to allow cardiologists to find (with satisfactory precision and speed) both changes in the blood flow rate in larger coronary arteries, caused by the appearance of their planar pathological tortuosity, and a hemodynamic significance of those changes based on the data taken from the appropriate coronarographies only. This method is based on replacement of real blood flows in the originally healthy and subsequently pathologically tortuous artery with the corresponding cross-sectionally averaged ones, and subsequent calculation of the blood flow characteristics of interest in terms of the corresponding averaged flow characteristics. It allows one not to take account of a number of identical factors for the originally healthy and subsequently pathologically tortuous segment of the coronary artery under investigation, and gives one the possibility to determine the blood flow parameters of concern at any time after carrying out a coronarography. In addition, the developed method is not associated with solving complicated technical problems, and does not require special facility to be used, special professional training and significant expences. It was successfully tested in laboratory conditions and then successfully applied to appropriate patients.

Published in Cardiology and Cardiovascular Research (Volume 1, Issue 1)
DOI 10.11648/j.ccr.20170101.12
Page(s) 7-17
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Coronary Artery, Cardiac Syndrome X, Arterial Tortuosity, Blood Flow Rate

References
[1] Wikipedia, last modified September 30, 2012, http://en.wikipedia.org/wiki.
[2] “Your Coronary Arteries”, Cleveland Clinic, http://my.clevelandclinic.org/services/heart/heart-blood-vessels/coronary-arteries.
[3] A. Aldrovandi, et al., “Evaluation of coronary atherosclerosis by multislice computed tomography in patients with acute myocardial infarction and without significant coronary artery stenosis: a comparative study with quantitative coronary angiography,” Circulation: Cardiovascular Imaging, vol. 1, pp. 205-211, 2008.
[4] A. Aldrovandi, et. al, “Computed tomography coronary angiography in patients with acute myocardial infarction without significant coronary stenosis,” Circulation, vol. 126, pp. 3000-3007, 2012.
[5] F. Crea, and G. A. Lanza, “Angina pectoris and normal coronary arteries: cardiac syndrome X,” Heart, vol. 90, pp. 457-463, 2004.
[6] S. S Groves, A. C. Jain, B. E. Warden, W. Gharib, and R. J. Beto 2nd., “Severe coronary tortuosity and the relationship to significant coronary artery disease,” West Virginia Medical Journal, vol. 105, pp. 7-14, 2009.
[7] H.-C. Han, “Twisted blood vessels: symptoms, etiology and biomechanical mechanisms,” J. Vasc. Res., vol. 49, pp. 185–197, 2012.
[8] W. E. Hart, M. Goldbaum, B. Coˆte´, P. Kube, and M. R. Nelson, “Measurement and classification of retinal vascular tortuosity,” Int. J. Med. Inf., vol. 53, pp. 239–252, 1999.
[9] J. C. Kaski, “Pathophysiology and management of patients with pain and normal coronary arteriograms (cardiac syndrome X),” Circulation, vol. 109, pp. 568-572, 2004.
[10] J. C. Kaski, G. Aldama, and J. Cosin-Sales, “Cardiac syndrome X. Diagnosis, pathogenesis and management,” Am. J. Cardiovasc. Drugs, vol. 4, no. 3, pp. 179-194, 2004.
[11] Y. Li, et. al., “Impact of coronary tortuosity on coronary pressure: numerical simulation study,” PLOS ONE, vol. 7, pp. 1-6, 2012.
[12] T. Schubert, et. al., “Dampening of blood-flow pulsatility along the carotid siphon: does form follow function?,” Am. J. Neuroradioly, vol. 32, pp. 1107–1112, 2011.
[13] P. D. Stein, et al., “Effects of cyclic flection of coronary arteries on progression of atherosclerosis,” Am. J. Cardiology, vol. 73, pp. 431-437, 1994.
[14] E. S. Zegers, B. T. J. Meursing, E. B. Zegers, and A. J. M. Oude Ophuis, “Coronary tortuosity: a long and winding road,” Netherlands Heart J., vol. 15, pp. 191 – 195, 2007.
[15] “Myocardial Ischemia”, Mayoclinic, http://www.mayoclinic.org/diseases-conditions/myocardial-ischemia/basics/symptoms/con-20035096.
[16] C. Caiati, C. Montaldo, N. Zedda, A. Bina, and S. Iliceto, “New noninvasive method for coronary flow reserve assessment: contrast-enhanced transthoracic second harmonic echo doppler,” Circulation, vol. 99, pp. 771-778, 1999.
[17] N. H. J. Pijls, et al., “Measurement of fractional flow reserve to assess the functional severity of coronary-artery stenosis,” New Eng. J. Med., vol. 334, pp. 1703–1708, 1996.
[18] P. A. L. Tonino, et al., “Fractional flow reserve versus angiography for guiding percutaneous coronary intervention,” New Eng. J. Med., vol. 360, pp. 213–224, 2009.
[19] S. A. Berger, and L. D. Jou, “Flows in stenotic vessels,” Ann. Rev. Fluid Mech., vol. 32, pp. 347-382, 2000.
[20] A. O. Borisyuk, “Experimental study of noise produced by steady flow through a simulated vascular stenosis,” J. Sound Vibr., vol. 256, pp. 475-498, 2002.
[21] A. O. Borisyuk, “Model study of noise field in the human chest due to turbulent flow in a larger blood vessel,” J. Fluids Str., vol. 17, pp. 1095-1110, 2003.
[22] A. O. Borisyuk, “Experimental study of wall pressure fluctuations in rigid and elastic pipes behind an axisymmetric narrowing,” J. Fluids Str., vol. 26, pp. 658-674, 2010.
[23] D. F. Young, “Fluid mechanics of arterial stenoses,” ASME J. Biomech. Eng., vol. 101, pp. 157-175, 1979.
[24] G. K. Batchelor, An Iintroduction to Fluid Dynamics. Cambridge Univ. Press, Cambridge, UK, 1967.
[25] M. Abramowitz, and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. National Bureau of Standards, Washington, 1964.
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  • APA Style

    Andriy Borysyuk. (2017). An Approximate Method to Find Changes in the Blood Flow Rate Due to Planar Pathological Tortuosity of a Larger Coronary Artery. Cardiology and Cardiovascular Research, 1(1), 7-17. https://doi.org/10.11648/j.ccr.20170101.12

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    ACS Style

    Andriy Borysyuk. An Approximate Method to Find Changes in the Blood Flow Rate Due to Planar Pathological Tortuosity of a Larger Coronary Artery. Cardiol. Cardiovasc. Res. 2017, 1(1), 7-17. doi: 10.11648/j.ccr.20170101.12

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    AMA Style

    Andriy Borysyuk. An Approximate Method to Find Changes in the Blood Flow Rate Due to Planar Pathological Tortuosity of a Larger Coronary Artery. Cardiol Cardiovasc Res. 2017;1(1):7-17. doi: 10.11648/j.ccr.20170101.12

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  • @article{10.11648/j.ccr.20170101.12,
      author = {Andriy Borysyuk},
      title = {An Approximate Method to Find Changes in the Blood Flow Rate Due to Planar Pathological Tortuosity of a Larger Coronary Artery},
      journal = {Cardiology and Cardiovascular Research},
      volume = {1},
      number = {1},
      pages = {7-17},
      doi = {10.11648/j.ccr.20170101.12},
      url = {https://doi.org/10.11648/j.ccr.20170101.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ccr.20170101.12},
      abstract = {Proceed from the analysis of coronarographies of patients with cardiac ischemia and cardiac syndrome X, an approximate method is developed to allow cardiologists to find (with satisfactory precision and speed) both changes in the blood flow rate in larger coronary arteries, caused by the appearance of their planar pathological tortuosity, and a hemodynamic significance of those changes based on the data taken from the appropriate coronarographies only. This method is based on replacement of real blood flows in the originally healthy and subsequently pathologically tortuous artery with the corresponding cross-sectionally averaged ones, and subsequent calculation of the blood flow characteristics of interest in terms of the corresponding averaged flow characteristics. It allows one not to take account of a number of identical factors for the originally healthy and subsequently pathologically tortuous segment of the coronary artery under investigation, and gives one the possibility to determine the blood flow parameters of concern at any time after carrying out a coronarography. In addition, the developed method is not associated with solving complicated technical problems, and does not require special facility to be used, special professional training and significant expences. It was successfully tested in laboratory conditions and then successfully applied to appropriate patients.},
     year = {2017}
    }
    

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    T2  - Cardiology and Cardiovascular Research
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    AB  - Proceed from the analysis of coronarographies of patients with cardiac ischemia and cardiac syndrome X, an approximate method is developed to allow cardiologists to find (with satisfactory precision and speed) both changes in the blood flow rate in larger coronary arteries, caused by the appearance of their planar pathological tortuosity, and a hemodynamic significance of those changes based on the data taken from the appropriate coronarographies only. This method is based on replacement of real blood flows in the originally healthy and subsequently pathologically tortuous artery with the corresponding cross-sectionally averaged ones, and subsequent calculation of the blood flow characteristics of interest in terms of the corresponding averaged flow characteristics. It allows one not to take account of a number of identical factors for the originally healthy and subsequently pathologically tortuous segment of the coronary artery under investigation, and gives one the possibility to determine the blood flow parameters of concern at any time after carrying out a coronarography. In addition, the developed method is not associated with solving complicated technical problems, and does not require special facility to be used, special professional training and significant expences. It was successfully tested in laboratory conditions and then successfully applied to appropriate patients.
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Author Information
  • Department of Hydrodynamical Acoustics, Institute of Hydromechanics, Kyiv, Ukraine

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