Entropy Change of Lungs: Determinant of the Static Properties of the Lungs

DOI: 10.4236/am.2015.68111   PDF   HTML   XML   3,288 Downloads   3,727 Views  


The static properties of the lungs have been explained by energy-change considerations on the elasticity, but this article explains the elasticity of the lungs by entropy-change considerations. Entropy of the individual lobule was defined by application of stochastic geometry on aggregated alveolar polyhedrons. Entropy of the lungs is the result of integrating a number of lobular entropies through the fractal bronchial tree. Entropy of the lungs was thus determined by the individual lobular entropy and the connectivity of the bronchial tree to the lobular bronchioles. Thermody-namic considerations on the static conditions of the pulmonary system composed of the lungs and the chest wall have provided a theoretical approach to understand the subdivisions of lung volume as the entropy-change of lungs. Entropy-change considerations on the elasticity of the lungs have shown that alveolar collapse and subsequent alveolar induration as the primary pathway for the loss of elasticity in the lungs is an acceptable hypothesis.

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Min, K. (2015) Entropy Change of Lungs: Determinant of the Static Properties of the Lungs. Applied Mathematics, 6, 1200-1207. doi: 10.4236/am.2015.68111.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Grassino, A.E. and Roussos, C. (1997) Static Properties of the Lung and Chest Wall. In: Crystal, R.G. and West, J.B., et al., The Lung: Scientific Foundations, 2nd Edition, Lippincott-Raven Publishers, Philadelphia, 1187-1201.
[2] Bates, J.H., Davis, G.S., Majumdar, A., Butnor, K.J. and Suki, B. (2007) Linking Parenchymal Disease Progression to Changes in Lung Mechanical Function by Percolation. American Journal of Respiratory and Critical Care Medicine, 176, 617-623.
[3] Lutz, D., Gazdhar, A., Lopez-Rodriguez, E., Ruppert, C., Mahavadi, P., Günther, A., Klepetko, W., Bates, J.H., Smith, B., Geiser, T., Ochs, M. and Knudsen, L. (2015) Alveolar Derecruitment and Collapse Induration as Crucial Mechanisms in Lung Injury and Fibrosis. American Journal of Respiratory Cell and Molecular Biology, 52, 232-243.
[4] Kubo, R. (1996) Gum Elasticity. Shyo-Ka-Boh, Tokyo, 36-42. (In Japanese)
[5] Min, K., Hosoi, K., Kinoshita, Y., Hara, S., Degami, H., Takada, T. and Nakamura, T. (2012) Use of Fractal Geometry to Propose a New Mechanism of Airway-Parenchymal Interdependence. Open Journal of Molecular and Integrative Physiology, 2, 14-20.
[6] Kitaoka, H. (2013) Let’s Make Origami Models, in Welcome to 4D Respirology.
[7] Uffink, J. (2006) Compendium of the Foundations of Classical Statistical Physics.
[8] Rohrer, F. (1916) Der Zusammenhang der Atemkräfte und ihre Abhängigkeit vom Dehnungszustand der Atmungsorgane. Archiv für die gesamte Physiologie des Menchen und der Tiere, 165, 419-444.
[9] Agostoni, E. and Mead, J. (1964) Statics of the Respiratory System. In: Fenn, W.O. and Rahn, H., Eds., Handbook of Physiology Respiration, Sec. 3, Vol. 1, American Physiological Society, Washington DC, 387-409.
[10] Campbell, E.J.M. (1958) The Respiratory Muscles and the Mechanics of Breathing. Year Book Publishers, Chicago.
[11] Agostoni, E. and Rahn, H. (1960) Abdominal and Thoracic Pressures at Different Lung Volumes. Journal of Applied Physiology, 15, 1087-1092.
[12] Miller, W.S. (1950) The Lung. 2nd Edition, Charles C Thomas Publishers, Springfield.

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