This model represents a bifurcating compliant airway that could be used as a building block for constructing a network of airways. You could use the model to simulate flow in rigid airway bifurcation.
Description
This model represents a bifurcating compliant airway that could be used as a building block for constructing a network of airway. The resistance offered by airway wall to the flow of air is represented by the resistor in the electrical circuit.The compliance of the airway is represented by the capacitor. All the three airway segment have separate compliances which are represented by three individual capacitors.
Legend:
Finlet: Inlet Flow, P: Pressure, R: Resistance, F: Flow, Com: Compliance, V: Volume, L: Inductance
Equations
Pa1 = (Va - Va_0)/Com_a Pinlet = (Finlet * Ra1) + Pa1 Fa2 = Finlet - Fa1 d(Va)/dt = Fa2 d(Fa1)/dt = (Pa1 - Pa2 -(Fa1 * Ra2))/La Pb1 = (Vb - Vb_0)/Com_b Pa2 = (Fbin * Rb1) + Pb1 Fbin = Fa1 - Fcin Fb2 = Fbin - Fb1 d(Fb1)/dt = (Pb1 - Pb2 -(Fb1 * Rb2))/Lb d(Vb)/dt = Fb2 Pc1 = (Vc - Vc_0)/Com_c Pa2 - Pc1 = Fcin * Rc1 Fc2 = Fcin - Fc1 d(Fc1)/dt = (Pc1 - Pc2 -(Fc1 * Rc2))/Lc d(Vc)/dt = Fc2 Where: P is pressure, F is flow, R is resistance, Com is capacitance, L is inductance, V is the volume.
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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. Fung Y.C.; "Biomechanics" (Text Book)
Please cite https://www.imagwiki.nibib.nih.gov/physiome 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.
Model development and archiving support at https://www.imagwiki.nibib.nih.gov/physiome 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.