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A Mathematical Model of Pendelluft Flow in a Single Airway Bifurcation

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Part of the Solid Mechanics and its Applications book series (SMIA,volume 63)

Abstract

Pendelluft is a gas flow phenomenon occurring in parallel respiratory units. When the parallel respiratory units are forded by a periodic pressure, the flow in them becomes asynchronous. This phenomenon plays an important role in mixing and transport of air especially during high-frequency ventilation. Understanding of this phenomenon was based n a mechanical model proposed by Otis et al. (1956). In that model the respiratory units are modeled as electric circuits with lumped parameters. They found that unequal resistances and compliances in the parallel respiratory units could give rise to pendelluft. Ultman et al. (1988) and High, Ultman, and Karl (1991) observed that, for high frequency ventilation, the inertance should be included. They thus expanded the Otis R-C model to the R-I-C model of analogous electric circuits.

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References

  • High, K.C., Ultman, J.S., & Karl, S.R. (1991) Mechanically induced pendelluft flow in a model airway bifurcation during high frequency oscillation. J. Biomechanical Engineering 113:342–347.

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  • Otis, A.B., McKerrow, C.B., Bartlett, R.A., Mead, J., Mcllroy, M.B., Selverstone, N.J., and Radford, E.P. (1056) Mechanical factors in distribution of pulmonary ventilation. J. Appl. Physiol. 8:427–443.

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  • Ultman, J.S., Shaw, R.G., Fabiano, D.C., & Cooke, K.A. (1988) Pendelluft and mixing in a single bifurcation lung model during high-frequency oscillation. J. Appl. Physiol. 65:146–155.

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© 1999 Springer Science+Business Media Dordrecht

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Feng, Z.C., Poon, C. (1999). A Mathematical Model of Pendelluft Flow in a Single Airway Bifurcation. In: Moon, F.C. (eds) IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics. Solid Mechanics and its Applications, vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5320-1_49

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  • DOI: https://doi.org/10.1007/978-94-011-5320-1_49

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6235-0

  • Online ISBN: 978-94-011-5320-1

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