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Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 116))

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Abstract

A comprehensive analysis of experimental and numerical results as to modeling the elastic behavior of a lung is presented. The main focus of this study is the dynamical distribution of the static pressure in a multiple branched network due to spontaneous volume change of its terminal units. The interaction between pressure and volume is the most essential feature in lung related science. Flow cases are performed in an idealized three-dimensional respiratory system under natural ventilation. The results demonstrate the dynamical spatial pressure expansion, the dominating oscillations, and a comparison of the compliance with high-frequency oscillation ventilation.

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References

  1. Alencar, A., Arold, S., Buldyrev, S., Majumdar, A., Stamenovi, D., Stanley, H., Suki, B.: Dynamic instabilities in the inflating lung. Nature 417, 809–811 (2002)

    Article  Google Scholar 

  2. Berger, S., Talbot, L.: Flow in curved pipes. Ann. Rev. Fluid Mech. 15, 461–512 (1983)

    Article  Google Scholar 

  3. Claris, O., Lapillonne, A., Picaud, J.C., Basson, E.: High-frequency oscillatory ventilation. Semin Neonatol 2, 129–137 (1997)

    Article  Google Scholar 

  4. Dahl, C.N.C., Lardner, T.J.: An introduction to the mechanics of solids. Tech. rep., McGraw-Hill, New York (1959)

    Google Scholar 

  5. Fredberg, J., Keefe, D., Glass, G., Castile, R., Frantz, I.: Alveolar pressure non-homogeneity during small amplitude high-frequency oscillation. J. Appl. Physiol. 57(3), 788–800 (1984)

    Google Scholar 

  6. Fung, Y.: The surface tension make the lung inherently unstable? Circulation Research 37 (October 1975)

    Google Scholar 

  7. Kitaoka, H., Takaki, R., Suki, B.: A three-dimensional model of the human airway tree. Journal of Applied Physiology 87(6), 2207–2217 (1999)

    Google Scholar 

  8. Lee, S., Alexander, J., Blowes, R., Ingram, D., Milner, A.D.: Determination of resonance frequency of the respiratory system in respiratory distress syndrome. Arch. Dis. Child Fetal Neonatal Ed. 80(3), 198–202 (1999)

    Article  Google Scholar 

  9. Lee, W., Kawahashi, M., Hirahara, H.: Analysis of pendelluft flow generated by hfov in a human airway model. Physiol. Meas. 27, 661–674 (2006)

    Article  Google Scholar 

  10. Miller, W.S.: The Lung. Charles C Thomas, Springfield (1947)

    Google Scholar 

  11. Müller, I., Struchtrup, H.: Inflating a rubber balloon. Mathematics and Mechanics of Solids 7, 569–577 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  12. von Neergaard, K.: Neue Auffassungen über einen Grundbegriff der Atemmechanik: Die Retraktionskraft der Lunge, abhängig von der Oberflächenspannung in den Alveolen. Z. Ges. Exp. Med. 66, 373–394 (1929)

    Article  Google Scholar 

  13. Perun, M.L., Gaver, D.P.: Experimental model investigation of the opening of a collapsed untethered pulmonary airway. J. Biomech. Eng. 117, 245–253 (1995)

    Article  Google Scholar 

  14. Prange, H.D.: Laplace’s law and the alveolus: A misconception of anatomy and a misapplication of physics. Adv. Physiol. Educ. 27, 34–40 (2003)

    Article  Google Scholar 

  15. Suki, B., Andrade, J.S., Coughlin, M.F., Stamenovic, D., Stanley, H.E., Sujeer, M., Zapperi, S.: Mathematical modeling of the first inflation of degassed lungs. Annals of Biomedical Engineering 26, 608–617 (1998)

    Article  Google Scholar 

  16. Suki, B., Barabásl, A., Hantos, Z., Peták, F., Stanley, H.: Avalanches and power-law behavior in lung inflation. Nature 368, 615–618 (1994)

    Article  Google Scholar 

  17. The Acute Respiratory Distress Syndrome Network: Ventilation with lower tidal volumes as compared with traditional tidal volumes for acute lung injury and the acute respiratory distress syndrome. N. Engl. J. Med. 342(18), 1301–1308 (2000)

    Google Scholar 

  18. van der Vorst, H.: Bi-cgstab: A fast and smoothly converging variant of bi-cg for the solution of nonsymmetric systems. SIAM J. Sci. Stat. Comput. 13(2), 631–644 (1992)

    Article  MATH  Google Scholar 

  19. Weibel, E.: Morphometry of the human lung. Academic Press, New York (1963)

    Google Scholar 

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Soodt, T., Henze, A., Boenke, D., Klaas, M., Schröder, W. (2011). Fluid Mechanical Equilibrium Processes in a Multi-bifurcation Model. In: Klaas, M., Koch, E., Schröder, W. (eds) Fundamental Medical and Engineering Investigations on Protective Artificial Respiration. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20326-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-20326-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20325-1

  • Online ISBN: 978-3-642-20326-8

  • eBook Packages: EngineeringEngineering (R0)

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