Annals of Biomedical Engineering

, Volume 9, Issue 5–6, pp 451–462 | Cite as

Elasticity analysis of lung deformation problems

  • Stephen J. Lai-Fook
Respiratory Mechanics

Abstract

In the characterization of stress-strain relationships for the lung using solid continuum-mechanics analysis, the lung parenchyma is assumed to be in a state of uniform expansion and nonhomogeneous deformations are considered from the uniform state. If the nonhomogeneous deformations are small, nonhomogeneous lung deformation problems are reduced to those solvable using infinitesimal elasticity, since only the small superimposed deformations are considered. Using this incremental approach, the relevant elastic constants of lung parechyma have been measured and their applicability has been verified by comparing the results of the theoretical analysis of several nonhomogeneous deformation problems with experimental data.

Keywords

Experimental Data Theoretical Analysis Elastic Constant Lung Parenchyma Uniform State 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Dale, P.J., F.L. Matthews, and R.C. Schroter. finite element analysis of lung alveolus.J. Biomech. 13:865–873, 1980.CrossRefPubMedGoogle Scholar
  2. 2.
    Frankus, A. and G.C. Lee. A theory for distortion studies of lung parenchyma based on alveolar membrane properties.J. Biomech. 7:101–107, 1974.CrossRefPubMedGoogle Scholar
  3. 3.
    Fung, Y.C. Theory of elasticity of the lung.J. appl. Mech. 41:8–14, 1974.Google Scholar
  4. 4.
    Fung, Y.C.B., P. Tong, and P. Patitucci. Stress and strain in lung.J. Eng. Mech. 104:201–223, 1978.Google Scholar
  5. 5.
    Goshy, M., S.J. Lai-Fook, and R.E. Hyatt. Perivascular pressure measurements by wick-catheter technique in isolated dog lobes.J. Appl. Physiol. 46:950–955, 1979.PubMedGoogle Scholar
  6. 6.
    Hajji, M.A., T. A. Wilson, and S.J. Lai-Fook. Improved measurements of the shear modulus and pleural membrane tension of the lung.J. Appl. Physiol. 47:175–181, 1979.PubMedGoogle Scholar
  7. 7.
    Hoppin, F.G., Jr. and J. Hildebrandt. Mechanical properties of the lung. In:Bioengineering Aspects of the Lung, edited by J.B. West. New York: Marcel Dekker, 1977, pp. 83–162.Google Scholar
  8. 8.
    Hoppin, F.G., Jr., G.C. Lee, and S.V. Dawson. Properties of lung parenchyma in distortion.J. Appl. Physiol. 39:742–751, 1975.PubMedGoogle Scholar
  9. 9.
    Hyatt, R.E., K.P. Offord, and S.J. Lai-Fook. Effect of length changes on bronchial diameters.J. Appl. Physiol. 50:1168–1172, 1981.PubMedGoogle Scholar
  10. 10.
    Inoue, H., C. Inoue, and J. Hildebrandt. Vascular and airway pressure and interstitial edema affect peribronchial fluid pressure.J. Appl. Physiol. 48:177–185, 1980.PubMedGoogle Scholar
  11. 11.
    Kallok, M.J. and S.J. Lai-Fook. Lung deformations at minimal volume.J. Appl. Physiol. 48: 487–494, 1980.PubMedGoogle Scholar
  12. 12.
    Kallok, M.J., T.A. Wilson, J.R. Rodarte, S.J. Lai-Fook, P.A. Chevalier, and L.D. Harris. Distribution of regional volumes and ventilation in excised canine lobes.J. Appl. Physiol. 47:182–191, 1979.PubMedGoogle Scholar
  13. 13.
    Karakaplan, A.D., M.P. Bieniek, and R. Skalak. A mathematical model of lung parenchyma.J. Biomech. Eng. 102:124–136, 1980.PubMedGoogle Scholar
  14. 14.
    Lai-Fook, S.J. Lung parenchyma described as a prestressed compressible material.J. Biomech. 10:357–365, 1977.CrossRefPubMedGoogle Scholar
  15. 15.
    Lai-Fook, S.J. A continuum mechanics analysis of pulmonary vascular interdependence in isolated dog lobes.J. Appl. Physiol. 46:419–429, 1979.PubMedGoogle Scholar
  16. 16.
    Lai-Fook, S.J. Elastic properties of lung parenchyma: the effect of pressure-volume hysteressis on the behavior of large blood vessels.J. Biomech. 12:757–764, 1979.CrossRefPubMedGoogle Scholar
  17. 17.
    Lai-Fook, S.J., M.A. Hajji, and T.A. Wilson. Deformation of a flexible disk bonded to an elastic half space: application to the lung.J. Biomech. Eng. 102:234–239, 1980.Google Scholar
  18. 18.
    Lai-Fook, S.J. and R.E. Hyatt, Effect of parenchyma and length changes on vessel pressurediameter behavior in pig lungs.J. Appl. Physiol. 47:666–669, 1979.PubMedGoogle Scholar
  19. 19.
    Lai-Fook, S.J., R.E. Hyatt, J.R. Rodarte, and T.A. Wilson. Behavior of artificially produced holes in lung parenchyma.J. Appl. Physiol. 43:648–655, 1977.PubMedGoogle Scholar
  20. 20.
    Lai-Fook, S.J. and M.J. Kallok. Bronchial-arterial interdependence in isolated dog lung: Analysis and measurements (abstract).Physiologist 23:122, Aug. 1980.Google Scholar
  21. 21.
    Lai-Fook, S.J., T.A. Wilson, R.E. Hyatt, and J.R. Rodarte. Elastic constants of inflated lobes of dog lungs.J. Appl. Physiol. 40:508–513, 1976.PubMedGoogle Scholar
  22. 22.
    Lambert, R.K. and T.A. Wilson. A model for the elastic properties of the lung and their effect on expiratory flow.J. Appl. Physiol. 34:34–48, 1973.PubMedGoogle Scholar
  23. 23.
    Lee, G.C. and A. Frankus. Elasticity properties of lung parenchyma derived from experimental distortion data.Biophys. J. 15:481–493, 1975.Google Scholar
  24. 24.
    Liu, J.T. and Lee, G.C. Static finite deformation analysis of the lungJ. Eng. Mech. 104:225–238, 1978.Google Scholar
  25. 25.
    Matthews, F.L. and J.B. West. Finite element displacement analysis of a lung.J. Biomech. 5:591–600, 1972.CrossRefPubMedGoogle Scholar
  26. 26.
    Mead, J., T. Takishima, and D. Leith. Stress distribution in lungs: A model of pulmonary elasticity.J. Appl. Physiol. 28:596–608, 1970.PubMedGoogle Scholar
  27. 27.
    Staub, N.C, H. Nagano, and M.L. Pearce. Pulmonary edema in dogs, especially the sequence of fluid accumulation in lungs.J. Appl. Physiol. 22:227–240, 1967.PubMedGoogle Scholar
  28. 28.
    Vawter, D.L., Stress-free equilibrium volume of the lung.J. Appl. Physiol. 43:3–7, 1977.PubMedGoogle Scholar
  29. 29.
    Vawter, D. L. A finite element model for macroscopic deformation of the lung.J. Biomech. Eng. 102:1–7, 1980.PubMedGoogle Scholar
  30. 30.
    Vawter, D.L., Y.C. Fung, and J.B. West. Elasticity of excised dog lung parenchyma.J. Appl. Physiol. 45:261–269, 1978.PubMedGoogle Scholar
  31. 31.
    Vawter, D.L., Y.C. Fung, and J.B. West. Constitutive equation of lung-tissue elasticity.J. Biomech. Eng. 101:38–45, 1979.Google Scholar
  32. 32.
    West, J.B. and F.L. Matthews, Stresses, strains, and surface pressures in the lung caused by its weight.J. Appl. Physiol. 32:332–345, 1972.PubMedGoogle Scholar

Copyright information

© Pergamon Press Ltd. 1982

Authors and Affiliations

  • Stephen J. Lai-Fook
    • 1
  1. 1.Division of Thoracic Diseases and Internal MedicineMayo Clinic and Mayo FoundationRochester

Personalised recommendations