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_airway

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.

Model number: 0122

 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 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.
```

## 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

Airway, Compliant airway,Bifurcating airway, Weibel, Lung, Respiratory system, respiratory mechanics