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A Mathematical Physiological Model of the Pulmonary Ventilation
Modeling and Control in Biomedical Systems, Volume # 7 | Part# 1
Authors
Steimle, Kristoffer Lindegaard; Mogensen, Mads Lause; Karbing, Dan Stieper; Bernardino de la Serna, Jorge; Smith, Bram W; Vacek, Ondrej; Andreassen, Steen
Identifier
10.3182/20090812-3-DK-2006.00038
Index Terms
Circulatory and respiratory systems; Control of voluntary movements, respiration,; Critical care and decision support systems
Abstract
This paper presents a model of the lung mechanics and simulates the pulmonary alveolar ventilation. The model includes the alveolar geometry and distribution and pressures exerted by the chest wall, due to surface tension affected by surfactant activity, due to lung tissue elasticity and due to the hydrostatic effects of the lung tissue and blood utilizing a stratified subdivision of the lungs. The model simulates a heterogenous ventilation distribution down the lungs in agreement with experimental studies. Furthermore the model is in agreement with experimentally measured hysteresis, static lung compliance, lung volumes and density distribution at different lung volumes. The presented model is the first to simulate alveolar ventilation including all of the above mentioned components of the respiratory system.
References
Dale, P.J., Matthews, F.L., and Schroter, R.C. (1980). Finite element analysis of lung alveolus. J Biomech, 13(10)(865-873). Despopoulos, A. and Silbernagl, S. (2003). Color Atlas of Physiology. Georg Thieme Verlag. ISBN: 3-13-545005-8. Fenstermacher, D. and Hong, D. (2004). Mechanical ventilation - what have we learned? Crit Care Nurs Q, 27(3)(258-294). Gattinoni, L., D'Andrea, L., Pelosi, P., Vitale, G., Pesenti, A., and Fumagalli, R. (1993). Regional effects and mechanism of positive end-expiratory pressure in early adult respiratory distress syndrome. J Am Med Assoc, 269(16)(2122-2127). Hickling, K. (1998). The pressure-volume curve is greatly modified by recruitment. Am J Respir Crit Care Med, 158(194-202). Ibanez, J. and Raurich, J.M. (1982). Normal values of functional residual capacity in the sitting and supine position. Intensive Care Med, 173(8)(173-177). Kenner, T. (1989). The measurement of blood density and its meaning. Basic Res Cardiol, 84(111-124). Kjaergaard, S., Rees, S., Malczynski, J., Nielsen, J.A., Thorgaard, P., Toft, E., and Andreassen, S. (2003). Non- invasive estimation of shunt and ventilation-perfusion mismatch. Intensive Care Med, 29(727-734). Konno, K. and Mead, J. (1968). Static volume-pressure characteristics of the rib cage and abdomen. J Appl Physiol, 24(544-548). Lu, J.Y., Distefano, J., Philips, K., Chen, P., and Neu- mann, A.W. (1999). Effect of the compression ratio on properties of lung surfactant (bovine lipid extract surfactant) films. Respir Physiol, 115(55-71). Lumb, A.B. (2003). Nunn's Applied Respiratory Physiol- ogy. Butherworth Heinemann. ISBN: 0-7506-3107-4. Millar, A.B. and Denison, D.M. (1989). Vertical gradi- ents of lung density in healthy supine men. Thorax, 44(6)(485-490). Mogensen, M.L., Steimle, K.L., Karbing, D.S., and An- dreassen, S. (2009). A mathematical physiological model of the pulmonary capillary perfusion. 7th IFAC Sympo- sium on Modelling and Control in Biomedical Systems, August 12-14th, Aalborg, Denmark. Prisk, G.K., Yamada, K., Henderson, C., Arai, T.J., Levin, D.L., Buxton, R.B., and Hopkins, S.R. (2007). Pul- monary perfusion in the prone and supine postures in the normal human lung. J Appl Physiol, 103(883-894). Rouby, J.J., Lu, Q., and Goldstein, I. (2002). Selecting the right level of positive end-expiratory pressure in patients with acute respiratory distress syndrome. Am J Respir Crit Care Med, 166(1182-1186). Sharp, J.T., Johnson, F.N., Goldberg, N.B., and Lith, P.V. (1967). Hysteresis and stress adaptation in the human respiratory system. J Appl Physiol, 23(4)(487-497). Smith, B.W., Rees, S., Tvorup, J., Christensen, C.G., and Andreassen, S. (2005). Modeling the influence of the pulmonary pressure-volume curve on gas exchange. 27th annual International conference of the IEEE engineering in Medicine and Biology Society, September 1-4, Shang- hai, China. IEEE. Conference Proceeding(176-179). Smith, J.C. and Stamenovic, D. (1986). Surface forces in lungs. i. alveolar surface tension-lung volume relation- ships. J Appl Physiol, 60(4)(1341-1350). Tokics, L., Hedenstierna, G., Svensson, L., Brismar, B., Cederlund, T., Lundquist, H., and Strandberg, A. (1996). V/Q distribution and correlation to atelectasis in anesthetized paralyzed humans. J Appl Physiol, 81(4)(1822-1833). Weibel, E.R. (1986). The pathway for oxygen. President and Fellows if Harvard College. ISBN: 0-674-65791-8. Withers, R.T., Bourdon, P.C., and Crockett, A. (1988). Lung volume standards for healthy male lifetime non- smokers. Chest, 93(1)(91-97).