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

# Rigid_bifurcating_bronchiole_compliant_alveolus

This model represents a bifurcating rigid bronchiole with two compliant alveoli.

Model number: 0188

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## Description

```   This model represents a bifurcating rigid bronchiole with two compliant alveoli.
The resistance offered by bronchial wall to the flow of air is represented by
the resistor in the model.The compliance of the bronchiole is represented by the capacitor.
The alveolar sac compliance is repsented by a capcitor. R4 and R5 represent the
resistance offered by the alveolar sacs to the airflow. The alveolar sac changes
its volume as a function of inlet flow or pressure.

```

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

## Equations

```Pinlet - P12 = Finlet * R
P12 - P31 = F3 * R3
P12 - P21 = F2 * R2
F2 = Finlet - F3
P31 - P32 = F3 * R4
P32 - P33 = (V3 - V3_0)/Com3
P21 - P22 = F2 * R5
P22 - P23 = (V2 - V2_0)/Com2
d(V2)/dt = F2
d(V3)/dt = F3

Where: P is pressure, F is flow, R is resistance, Com is capacitance, and V is the volume.
```

## References

```	Fung Y.C.; "Biomechanics" (Text Book)

```

## Key Terms

Bifurcating bronchiole, Alveolus, Bronchiole, Compliant alveolus, Respiratory system, respiratory mechanics, airway