This model represents four generations of the bipodial human lung or the Weibel lung. The lengths and diameter of the airways are based on the Weibel lung geomtery. The airways are assumed compliant.
Model number: 0120
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This model represents four generations of the bipodial human lung or the Weibel lung. The lengths and diameter of the airways are based on the Weibel model. The resistance and the inductance of the airway segments are calculated based on the article by Barbini P (See reference). The capicitance or the compliance of the lung is considered to 23 be l/cmH2O. The driving force for this model was a pressure gradient. A sinewave of amplitude 10 pa was prescribed at the inlet. The outlets were maintained at zero pressure. The resistor in the electrical circuit represent the viscous effect or resistance near the wall and the inductor represent the inertial effect to air.
Figure: Electrical circuit for a bifurcating airway is shown above. For complete electrical circuit, first select the 'Comp_four_gen_weibel_lung' tab at the top of the left workspace in the JSim applet and then select 'Source' at the bottom.
Fig Legend: Finlet: Inlet Flow, P: Pressure, R: Resistance, F: Flow, Com: Compliance, V: Volume, L: Inductance
The equations for this model may be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.
Barbini, P., C. Brighenti, G. Cevenini,and G. Gnudi. A Dynamic Morphometric Model of the Normal Lung for Studying Expiratory Flow Limitation in Mechanical Ventilation. Ann. Biomed. Eng., Vol. 33, No. 4, May 2005, pp. 518–530 Weibel, E. R. Morphometry of the Human Lung. Berlin: Springer-Verlag, 1963.
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Posted by: BEJ
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[This page was last modified 02Nov16, 2:27 pm.]
Model development and archiving support at physiome.org provided by the following grants: NIH/NIBIB BE08407 Software Integration, JSim and SBW 6/1/09-5/31/13; NIH/NHLBI T15 HL88516-01 Modeling for Heart, Lung and Blood: From Cell to Organ, 4/1/07-3/31/11; NSF BES-0506477 Adaptive Multi-Scale Model Simulation, 8/15/05-7/31/08; NIH/NHLBI R01 HL073598 Core 3: 3D Imaging and Computer Modeling of the Respiratory Tract, 9/1/04-8/31/09; as well as prior support from NIH/NCRR P41 RR01243 Simulation Resource in Circulatory Mass Transport and Exchange, 12/1/1980-11/30/01 and NIH/NIBIB R01 EB001973 JSim: A Simulation Analysis Platform, 3/1/02-2/28/07.