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.
Similar content being viewed by others
References
Dale, P.J., F.L. Matthews, and R.C. Schroter. finite element analysis of lung alveolus.J. Biomech. 13:865–873, 1980.
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.
Fung, Y.C. Theory of elasticity of the lung.J. appl. Mech. 41:8–14, 1974.
Fung, Y.C.B., P. Tong, and P. Patitucci. Stress and strain in lung.J. Eng. Mech. 104:201–223, 1978.
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.
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.
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.
Hoppin, F.G., Jr., G.C. Lee, and S.V. Dawson. Properties of lung parenchyma in distortion.J. Appl. Physiol. 39:742–751, 1975.
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.
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.
Kallok, M.J. and S.J. Lai-Fook. Lung deformations at minimal volume.J. Appl. Physiol. 48: 487–494, 1980.
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.
Karakaplan, A.D., M.P. Bieniek, and R. Skalak. A mathematical model of lung parenchyma.J. Biomech. Eng. 102:124–136, 1980.
Lai-Fook, S.J. Lung parenchyma described as a prestressed compressible material.J. Biomech. 10:357–365, 1977.
Lai-Fook, S.J. A continuum mechanics analysis of pulmonary vascular interdependence in isolated dog lobes.J. Appl. Physiol. 46:419–429, 1979.
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.
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.
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.
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.
Lai-Fook, S.J. and M.J. Kallok. Bronchial-arterial interdependence in isolated dog lung: Analysis and measurements (abstract).Physiologist 23:122, Aug. 1980.
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.
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.
Lee, G.C. and A. Frankus. Elasticity properties of lung parenchyma derived from experimental distortion data.Biophys. J. 15:481–493, 1975.
Liu, J.T. and Lee, G.C. Static finite deformation analysis of the lungJ. Eng. Mech. 104:225–238, 1978.
Matthews, F.L. and J.B. West. Finite element displacement analysis of a lung.J. Biomech. 5:591–600, 1972.
Mead, J., T. Takishima, and D. Leith. Stress distribution in lungs: A model of pulmonary elasticity.J. Appl. Physiol. 28:596–608, 1970.
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.
Vawter, D.L., Stress-free equilibrium volume of the lung.J. Appl. Physiol. 43:3–7, 1977.
Vawter, D. L. A finite element model for macroscopic deformation of the lung.J. Biomech. Eng. 102:1–7, 1980.
Vawter, D.L., Y.C. Fung, and J.B. West. Elasticity of excised dog lung parenchyma.J. Appl. Physiol. 45:261–269, 1978.
Vawter, D.L., Y.C. Fung, and J.B. West. Constitutive equation of lung-tissue elasticity.J. Biomech. Eng. 101:38–45, 1979.
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.
Author information
Authors and Affiliations
Additional information
This investigation was supported in part by Research Grant HL-21584 from the National Institutes of Health, Public Health Service.
Rights and permissions
About this article
Cite this article
Lai-Fook, S.J. Elasticity analysis of lung deformation problems. Ann Biomed Eng 9, 451–462 (1981). https://doi.org/10.1007/BF02364763
Issue Date:
DOI: https://doi.org/10.1007/BF02364763