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# 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

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## 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.
```