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Generalization of the mathematical model of lungs for describing the intensity of the tracheal sounds during forced expiration

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Abstract

The possibility to relate the nature of the forced expiration tracheal sounds with the sound radiation by a separated flow that arises in the region of dynamic trachea constriction during forced expiration is investigated. A mathematical model of forced expiration is used for estimating. The calculated form of the time dependence of the sound intensity during forced expiration qualitatively corresponds to the experimental dependence obtained experimentally for normal subjects. The results should be taken into account in the physical explanation of tracheal sound generation mechanisms and in the justification of using the tracheal sound characteristics in the diagnostics of human lung pathologies.

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References

  1. G.A. Lyubimov and I.M. Skobeleva, “Mathematical Model of Forced Expiration,” Fluid Dynamics 26(4), 477–483 (1991).

    Article  ADS  MATH  Google Scholar 

  2. G.A. Lyubimov, “Justification of a Model of an Inhomogeneous Lung for Forced Expiration,” Fluid Dynamics 34(5), 632–640 (1999).

    MATH  Google Scholar 

  3. V.K. Kuznetsova, G.A. Lyubimov and I.M. Skobeleva, “Analysis of Certain Qualitative Effects Associated with Forced Expiration,” Fiziologiya Cheloveka 19(5), 72–79 (1993).

    Google Scholar 

  4. G.A. Lyubimov and I.M. Skobeleva, “A Mathematical Model of Coughing for a Homogeneous Lung,” Fluid Dynamics 35(5), 627–634 (2000).

    Article  MathSciNet  MATH  Google Scholar 

  5. G.A. Lyubimov, I.M. Skobeleva, G.M. Sakharova, and A.V. Suvorov, “On the Informativeness of the “Flow-Volume” Curve of Forced Expiration,” Pulmonologiya, No. 2, 91–97 (2008).

  6. H. Pasterkamp, S. Kraman, and G. Wodicka, “Respiratory Sounds. Advances beyond the Stethoscops,” Am. J. Respiratory and Critical Care Medicine 156(3), 974–987 (1997).

    Google Scholar 

  7. S.S. Kraman, “The Forced Expiratory Wheeze. Its Site of Origin and Possible Association with Lung Compliance,” Respiration 44(3), 189–196 (1983).

    Article  Google Scholar 

  8. N. Gavriely, K.B. Kelly, J.B. Grotberg, and S.H. Loring, “Forced Expiratory Wheezes are a Manifestation of Airway Flow Limitation,” J. Appl. Physiol. 62(6), 2398–2403 (1987).

    Google Scholar 

  9. N. Gavriely, T.R. Shee, D.W. Cugell, and J.B. Grotberg, “Flutter in Flow-Limited Collapsible Tubes: a Mechanism for Generation of Wheezes,” J. Appl. Physiol. 66(5), 2251–2261 (1989).

    Google Scholar 

  10. V.I. Korenbaum, Yu.V. Kulakov, and A.A. Tagiltsev, “Acoustic Effects in the Human Respiratory System during Forced Expiration,” Akust. Zhurn. 43(1), 78–86 (1997).

    Google Scholar 

  11. J.C. Hardin and J.L. Patterson, “Monitoring the State of the Human Airways by Analysis of Respiratory Sound,” Acta Astronaut. 6(9), 1137–1151 (1979).

    Article  Google Scholar 

  12. V.I. Korenbaum and I.A. Pochekutova, Acousto-Biomechanical Relationships in the Formation of Human Forced Expiration Noises (Dalnauka, Vladivostok, 2006) [in Russian].

    Google Scholar 

  13. V.P. Harper, H. Pasterkamp, H. Kiyokawa, and G.R. Wodicka, “Modeling and Measurement of Flow Effects on Tracheal Sounds,” IEEE Trans. Biomed. Engng. 50(1), 1–10 (2003).

    Article  Google Scholar 

  14. V.I. Korenbaum, I.A. Pochekutova, and A.A. Tagiltsev, “Regression Modeling of the Acousto-Biomechanical Characteristics of Wheezes during Human Forced Expiration,” Fluid Dynamics 38(6), 882–888 (2003).

    Article  ADS  MATH  Google Scholar 

  15. J.A. Fiz, R. Jane, J. Izquierdo, et al., “Analysis of Forced Wheezes in Asthma Patients,” Respiration 73(1), 55–60 (2006).

    Article  Google Scholar 

  16. I.A. Pochekutova and V.I. Korenbaum, “Duration of the Forced Expiration Tracheal Noise: from a Model to Standardization,” Fiziologiya Cheloveka 33(1), 70–79 (2007).

    Google Scholar 

  17. H. Baier, S. Zarzeski, and A. Wanner, “Influence of Lung Inflation on the Cross-Sectional Area of Central Airways in Normal and in Patients with Lung Diseases,” Respiration 41(3), 145–154 (1981).

    Article  Google Scholar 

  18. M. Thiriet, J.M. Maarek, D.A. Chartrand, et al., “Transverse Images of the Human Thoracic Trachea during Forced Expiration,” J. Appl. Physiol. 67(3), 1032–1040 (1989).

    Google Scholar 

  19. I.V. Vovk and O.I. Vovk, “On the Possibility of Physically Modeling the Noises Generated by an Air Flow in Elements of the Human Airways,” Akust. Visn. (Ukraine) 2(2), 11–25 (1999).

    Google Scholar 

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Authors
  1. A. I. Dyachenko
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  2. G. A. Lyubimov
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  3. I. M. Skobeleva
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  4. M. M. Strongin
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Additional information

Original Russian Text © A.I. Dyachenko, G.A. Lyubimov, I.M. Skobeleva, M.M. Strongin, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 1, pp. 20–28.

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Dyachenko, A.I., Lyubimov, G.A., Skobeleva, I.M. et al. Generalization of the mathematical model of lungs for describing the intensity of the tracheal sounds during forced expiration. Fluid Dyn 46, 16–23 (2011). https://doi.org/10.1134/S0015462811010029

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  • DOI: https://doi.org/10.1134/S0015462811010029

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