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# Rigid_bronchiole_compliant_alveolus

Mechanics of a rigid resistive bronchiole with compliant alveolar sac. The driving pressure is at entrance to the bronchiole; the reference extrathoracic pressure is constant at zero.

Model number: 0189

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## Description

``` This model represents a rigid bronchiole with a compliant alveolar sac.
The resistance offered by bronchial wall to the flow of air is represented by
the resistor in the model. The alveolar sac compliance is repsented by a capcitor.
This model lacks the pleural pressure because of which a pressure pulse
is used to drive the model.The pressure pulse represents the pressure difference
in the alveolar space and the pleural sac. The alveolar sac changes
its volume as a function of inlet flow or pressure. For a step function in the pressure
the volume of the alveolar sac increases as an exponential function.

```

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

## Equations

```Pinlet - P2 = Finlet * R1
P2 - P3 = Finlet * R2
P3 - P4 = (V1 - V1_0)/Com1
d(V1)/dt = Finlet

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.

Levitzky MG. "Mechanics of Breathing", Pulmonary Physiology. 7th Edition, New York: McGraw-Hill, 2007, p. 11?53

```

## Key Terms

Alveolus, Alveolar sac, lung mechanics, positive pressure ventilation, chest wall compliance, Respiratory system, respiratory mechanics, airway