Rigid_bifurcating_bronchiole_compliant_alveolus

This model represents a bifurcating rigid bronchiole with two compliant alveoli.

Model number: 0188

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Description

   This model represents a bifurcating rigid bronchiole with two compliant alveoli.
   The resistance offered by bronchial wall to the flow of air is represented by 
   the resistor in the model.The compliance of the bronchiole is represented by the capacitor. 
   The alveolar sac compliance is repsented by a capcitor. R4 and R5 represent the
   resistance offered by the alveolar sacs to the airflow. The alveolar sac changes 
   its volume as a function of inlet flow or pressure.

Legend:
Finlet: Inlet Flow, P: Pressure, R: Resistance, F: Flow, Com: Compliance, V: Volume.

Equations

Pinlet - P12 = Finlet * R
P12 - P31 = F3 * R3
P12 - P21 = F2 * R2
F2 = Finlet - F3
P31 - P32 = F3 * R4
P32 - P33 = (V3 - V3_0)/Com3
P21 - P22 = F2 * R5
P22 - P23 = (V2 - V2_0)/Com2
d(V2)/dt = F2
d(V3)/dt = F3

Where: P is pressure, F is flow, R is resistance, Com is capacitance, and V is the volume.

Download JSim model project file

References

	Fung Y.C.; "Biomechanics" (Text Book)

Key Terms

Bifurcating bronchiole, Alveolus, Bronchiole, Compliant alveolus, Respiratory system, respiratory mechanics, airway

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Acknowledgements

Please cite www.physiome.org in any publication for which this software is used and send one reprint to the address given below:
The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

[This page was last modified 08Feb10, 2:35 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.