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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 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.

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 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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Key Terms

Compliant lung, Weibel model, Human lung model, Tutorial, Respiratory System, Respiratory Mechanics, Airway

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Posted by: BEJ


Please cite in any publication for which this software is used and send an email with the citation and, if possible, a PDF file of the paper to:
Or send a copy to:
The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

[This page was last modified 14Mar18, 3:17 pm.]

Model development and archiving support at provided by the following grants: NIH U01HL122199 Analyzing the Cardiac Power Grid, 09/15/2015 - 05/31/2020, 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.