This page will look better in a graphical browser that supports web standards, but is accessible to any browser or internet device.

Served by Samwise.

Cardiac Physiome Society workshop: November 6-9, 2017 , Toronto

# Compliant_bifurcating_bronchiole

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

Model number: 0123

 Run Model: Help running a JSim model.
Java runtime required. Web browser must support Java Applets.
(JSim model applet may take 10-20 seconds to load.)

## 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.

```

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

## 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