# Compliant_bifurcating_bronchiole

Model number
0123

This model represents a bifurcating compliant bronchiole that could be used as a building block for constructing a network of bronchi.

## Description

```This model represents a bifurcating compliant bronchiole that could be used as
a building block for constructing a network of bronchi. The resistance offered by
bronchial wall to the flow of air is represented by the resistor in the electrical
circuit.The compliance of the bronchiole is represented by the capacitor. All the
three bronchi have separate compliances which are represented by three individual
capacitors. The difference between this model the compliant bifurcating airway model
is the absence of an inductor in the electrical circuit. In bronchi, diffusion
dominates conductance whereas in airway, conductance dominates as the driving force
and hence the presence of the inductance which represent the inertial effect.```

## Equations

```Pinlet - P12 = Finlet * R11
P12  = (V1 - V1_0)/Com1
F12 = Finlet - F13
d(V1)/dt = F12
P12 - P13 = F13 * R12
F13 = F31 + F21
P13 - P22 = F21 * R21
P13 - P32 = F31 * R31
P22 = (V2 - V2_0)/Com2
F22 = F21 - F23
d(V2)/dt = F22
P22 - P23 = F23 * R22
P32 = (V3 - V3_0)/Com3
P32 - P33 = F33 * R32
d(V3)/dt = F32
F32 = F31 - F33

Where: P is pressure, F is flow, R is resistance, Com is capacitance, and V is the volume.```
References
```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)```
Key terms
Bronchiole
Bronchiolus
Compliant bronchiole
Compliant bronchiolus
Bifurcating bronchiole
Respiratory system
respiratory mechanics
airway
Acknowledgements

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.