[1]
|
Lanczos, C. (1970) The variational principles of mechanics. 4th Edition, Dover Publications, Inc., New York.
|
[2]
|
Webb, W.R. (2006) Thin-section CT of the secondary pulmonary lobule: Anatomy and the image—The 2004 fleischner lecture. Radiology, 239, 322-338.
doi:10.1148/radiol.2392041968
|
[3]
|
Itoh, H., Nakatsu, M., Yoxtheimer, L.M., Uematsu, H., Ohno, Y. and Hatabu, H. (2001) Structural basis for pulmonary functional imaging. European Journal of Radiology, 37, 143-154. doi:10.1016/S0720-048X(00)00301-6
|
[4]
|
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. OJMIP, 2, 14-20.
doi:10.4236/ojmip.2012.21003
|
[5]
|
Asano, N. and Watachi, M. (1987) Kinematic properties in ordinary differential equation. Applicable Mathematics, 2, Kohdannsha, Tokyo, 148-164.
|
[6]
|
Hyatt, R.E., Shilder, D.P. and Fry, D.L. (1958) Relationship between maximum expiratory flow and degree of lung inflation. Journal of Applied Physiology, 13, 331-336.
|
[7]
|
Dawson, S.V. and Elliott, E.A. (1977) Wave-speed limitation on expiratory flow: a unifying concept. Journal of Applied Physiology, 43, 498-515.
|
[8]
|
Lambert, R.K. and Beck, K.C. (2004) Airway area distribution from the forced expiration maneuver. Journal of Applied Physiology, 197, 570-578.
doi:10.1152/japplphysiol.00912.2003
|
[9]
|
Solway, J., Fredberg, J.J., Ingram Jr., R.H., Pedersen, O.F. and Drazen, J. (1987) Interdependent regional lung emptying during forced expiration. Journal of Applied Physiology, 62, 2013-2025.
|
[10]
|
O’Connor, G.T., Sparrow, D., Demolles, D., Dockery, D., Raizenne, M., Fay, M., Ingram Jr., R.H. and Speizer, F.E. (2000) Maximal and partial expiratory flow rates in a population sample of 10-to 11-yr-old schoolchildren: Effect of volume history and relation to asthma and maternal smoking. American Journal of Respiratory and Critical Care Medicine, 162, 436-439.
doi:10.1164/ajrccm.162.2.9906087
|
[11]
|
Lim, T.K., Ang, S.M., Rossing, T.H., Ingenito, E.P. and Ingram Jr., R.H. (1989) The effects of deep inhalation on maximal expiratory flow during intensive treatment of spontaneous asthmatic episodes, American Journal of Respiratory and Critical Care Medicine, 140, 340-343.
doi:10.1164/ajrccm/140.2.340
|
[12]
|
Venegas, J.G., Winkler, T., Musch, G., Vidal Melo, M.F., Layfield, D., Tgavalekos, N., Fischman, A.J., Callahan, R.J., Bellani, G. and Harris, R.S. (2005) Self-organized patchiness in asthma as a prelude to catastrophic shifts. Nature, 434, 777-782. doi:10.1038/nature03490
|
[13]
|
Matsuba, K., Shirakusa, T., Kuwano, K., Hayashi, S. and Shigematsu, N. (1987) Small airways disease in patients without chronic air-flow limitation. American Journal of Respiratory and Critical Care Medicine, 136, 1106-1111.
doi:10.1164/ajrccm/136.5.1106
|
[14]
|
Lucidarme, O., Coche, E., Cluzel, P., Mourey-Gerosa, I., Howarth, N. and Grenier P. (1998) Expiratory CT scans for chronic airway disease: Correlation with pulmonary function test results. American Journal of Roentgenology, 170, 301-307. doi:10.2214/ajr.170.2.9456933
|
[15]
|
Mead, J., Turner, J.M., Macklem, P. and Little, J. (1967) Significance of the relationship between lung recoil and maximal expiratory flow. Journal of Applied Physiology, 22, 95-108.
|