Gas Transport in Human Lungs – Modelling and Simulation

  • Bozenna Kuraszkiewicz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7339)


The external respiratory functions and basic pneumatic mechanisms in the human respiratory system are incorporated into mathematical model of gas transport problems, which presents a possible solution of the dynamic variety of a gas pressures and flows in pulmonary airways under definite conditions. The governing differential equations of aerodynamics were appropriately simplified as one-dimensional and time-variant, mixing effects at the bifurcations were neglected, the transpulmonary pressure was sinusoidal and the alveolar volume was filling and emptying as an elastic pneumatic “reservoir” created ventilation of the bronchial tree. The lungs were represented by the network of bifurcations of tree system encompassed up to 24 generations. The results indicated that the time dependent pressure gradient and flow rate for each generation yield information in two levels, i.e. local distribution and global transmission.


Human Lung Bronchial Tree Alveolar Volume Human Respiratory System Pulmonary Airway 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Aanalysis. Butterworth-Heinemann, Boston (1992)Google Scholar
  2. 2.
    Brebbia, C.A., Dominquez, J.: Boundary elements - an introductory course. Computational Mechanics, Southampton, England (1989)Google Scholar
  3. 3.
    Fung, Y.C.: Biodynamics: Circulation. Springer, New York (1984)Google Scholar
  4. 4.
    Ghadiali, S.N., Gaver, D.P.: The influence of non-equilibrium surfactant dynamics on the flow of a semi-infinite bubble in a rigid cylindrical tube. J. Fluid Mech. 478, 165–196 (2003)CrossRefGoogle Scholar
  5. 5.
    Osiadacz, A.: Simulation and analysis of gas network. FN Spon. Ltd., London (1987)Google Scholar
  6. 6.
    Pedley, T.J.: Energy losses and pressure drop in models of human airways. Respiratory Physiology 9, 371–386 (1970)CrossRefGoogle Scholar
  7. 7.
    Pierce, J.A.: The elastic tissue of the lung. In: Liebow, A.A., Smith, D.E. (eds.) The Lung. Williams and Wilkins Co., Baltimore (1988)Google Scholar
  8. 8.
    Powell, W.R.: Pulmonary Mechanics. In: Ghista, D.N. (ed.) Applied Physiological Mechanics. Harwood Academic Publishers (1979)Google Scholar
  9. 9.
    Suki, B., Barabasi, A.L., Hantos, Z., Petak, F., Stanley, H.E.: Avalanches and power-law behaviour in lung inflation. Nature 368, 615–618 (1994)PubMedCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Bozenna Kuraszkiewicz
    • 1
  1. 1.Nałęcz Institute of Biocybernetics and Biomedical EngineeringPolish Academy of ScienceWarsawPoland

Personalised recommendations