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

# Airway_bronchiole_alveolus

This model represents an inertial flow in a rigid airway, compliant bronchiole, compliant bronchiolus and a compliant alveolus.

Model number: 0072

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## Description

``` This model represents a rigid airway, compliant bronchiole, compliant bronchiolus
and a compliant alveolus. A single resistor (R11) represents the resitance offered by the
airway wall to the airflow. The compliance and the resitance of the bronchiole
are represented by the resistor (R21 and R22) and the capacitor (Com21). Likewise the compliance and
the resistance offered by the respiratory bronchiole or the bronchiolus are
represented by the resistor (R31 and R32) and a capacitor (Com31). The alveolar sac compliance is
repsented by a capcitor (Com4). The alveolar sac changes its volume as a function of inlet
flow or pressure. The resistance offered by the alveolus is represented by R41.

```

## Equations

```P12 - P21 = Finlet * R21
P21 - P22 = F22 * R22
P21 = (V21-V21_0)/Com21
P22 - P31 = F22 * R31
P31 = (V31-V31_0)/Com31
P31 - P32 = F32 * R32
P32 - P41 = F32 * R41
P41 = (V41-V41_0)/Com41
d(Finlet)/dt = (Pinlet - P12 - (Finlet * R11))/L11
d(V21)/dt = F21
d(V31)/dt = F31
d(V41)/dt = F32
F21 = Finlet - F22
F31 = F22 - F32

Where: P is pressure, F is flow of “incompressible” air, 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.

Biomechanics by Y.C. Fung (Text Book)

```

## Key Terms

Airway, Bronchiole, Bronchiolus, Alveolus, Compliant alveolus, Compliant airway, Compliant bronchiole, Compliant bronchiolus, Respiratory system, respiratory mechanics, airway