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Variational Method of Separation of the Aortic and Pulmonary Components of the Second Heart Sound

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Abstract

A variational method for separating the signal of the second heart sound into aortic and pulmonary components is proposed based on minimizing the functional using model signals dependent on a number of parameters. The range of variation of these parameters was determined, and the algorithm was tested on model signals and on signals obtained in patients with pulmonary hypertension. An analysis of errors of the method depending on the noise level and the delay time between the components was performed. We demonstrated the efficiency of the algorithm for separating the signals measured in patients and for determining the delay time between the components. The correlation between the delay time and the pulmonary artery pressure was shown, which can serve as the basis for a new method of diagnosis of pulmonary hypertension.

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REFERENCES

  1. V. A. Almazov, A. G. Salim’yanova, and E. V. Shlyakhto, Auscultation of the Heart (SPbGMU, St. Petersburg, 1996) [in Russian].

  2. J. Abrams, JAMA 239 (26), 2787–2789 (1978).

    Article  Google Scholar 

  3. J. Xu, L.-G. Durand, and P. Pibarot, IEEE Trans. Biomed. Eng. 48 (3), 277–283 (2001).

    Article  Google Scholar 

  4. J. B. Allen and L. R. Rabiner, Proc. IEEE 65 (11), 1558–1564 (1977).

    Article  ADS  Google Scholar 

  5. G. F. Boudreaux-Bartels and T. W. Parks, IEEE Trans. Acoust. Speech Signal Process. 34, 442–451 (1986).

  6. V. Nigam and R. Priemer, Proceedings of the 28th IEEE EMBS Annual International Conference (2006), pp. 5715–5718.

  7. R. G. Sæderup, P. Hoang, S. Winther, M. Bøttcher, J. Struijk, S. Schmidt, and J. Østergaard, Biomedical Signal Processing and Control 44 (229), 229–236 (2018). https://doi.org/10.1016/j.bspc.2018.04.006

  8. W. Mecklenbräuker and F. Hlawatsch, The Wigner Distribution: Theory and Applications in Signal Processing (Elsevier, Amsterdam, 1997).

  9. A. Djebbari and F. Bereksi-Reguig, BioMedical Engineering OnLine 12, 37 (2013). http://www.biomedical-engineering-online.com/content/12/1/37.

    Article  Google Scholar 

  10. V. G. Andreev, V. V. Gramovich, O. N. Vyborov, T. V. Martynyuk, O. V. Rodnenkov, and O. V. Rudenko, Acoust. Phys. 65 (6), 765-770 (2019). https://doi.org/10.1134/S1063771019050026

  11. S. Boyd and L. Vandenberghe, Convex optimization (Cambridge Univ. Press, Cambridge, 2004).

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Funding

This study was supported by the Russian Foundation for Basic Research, project no. 18-02-00736.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    A. I. Korolkov, V. G. Andreev &  O. V. Rudenko

  2. National Medical Research Center of Cardiology, Ministry of Health of the Russian Federation, 121552, Moscow, Russia

    V. V. Gramovich, A. M. Aleevskaya & T. V. Martynyuk

Authors
  1. A. I. Korolkov
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  2. V. G. Andreev
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  3. V. V. Gramovich
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  4. A. M. Aleevskaya
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  5. T. V. Martynyuk
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  6. O. V. Rudenko
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Corresponding author

Correspondence to A. I. Korolkov.

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Translated by N. Podymova

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Korolkov, A.I., Andreev, V.G., Gramovich, V.V. et al. Variational Method of Separation of the Aortic and Pulmonary Components of the Second Heart Sound. Dokl. Phys. 65, 295–299 (2020). https://doi.org/10.1134/S1028335820080042

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  • DOI: https://doi.org/10.1134/S1028335820080042

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