Mechanics of a rigid resistive bronchiole with compliant alveolar sac. The driving pressure is at entrance to the bronchiole; the reference extrathoracic pressure is constant at zero.
Model number: 0189
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This model represents a rigid bronchiole with a compliant alveolar sac. The resistance offered by bronchial wall to the flow of air is represented by the resistor in the model. The alveolar sac compliance is repsented by a capcitor. This model lacks the pleural pressure because of which a pressure pulse is used to drive the model.The pressure pulse represents the pressure difference in the alveolar space and the pleural sac. The alveolar sac changes its volume as a function of inlet flow or pressure. For a step function in the pressure the volume of the alveolar sac increases as an exponential function.
Finlet: Inlet Flow, P: Pressure, R: Resistance, F: Flow, Com: Compliance, V: Volume.
Pinlet - P2 = Finlet * R1 P2 - P3 = Finlet * R2 P3 - P4 = (V1 - V1_0)/Com1 d(V1)/dt = Finlet Where: P is pressure, F is flow, R is resistance, Com is capacitance, and V is the volume.
K. R. Lutchen and G. M. Saidel, "Estimation of mechanical parameters in multicompartment models applied to normal and obstructed lungs during tidal breathing," IEEE Trans. Biomed. Eng., vol. BME-33, no. 9, pp. 878-887, Sept. 1986. Levitzky MG. "Mechanics of Breathing", Pulmonary Physiology. 7th Edition, New York: McGraw-Hill, 2007, p. 11?53
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[This page was last modified 14Mar18, 3:17 pm.]
Model development and archiving support at physiome.org 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.