# 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.

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## 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

## Related Models

- Rigid airflow through bronchiloe to alveolus
- Rigid bifurcating bronchiole with two alveoli.
- Rigid bronchiole with compliant alveolus.
- Compliant bifurcating bronchiole
- Compliant bifurcating bronchiole with compliant alveoli
- Compliant bronchiole with compliant alveolus.
- Bifurcating compliant airway.

## Key Terms

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## Model History

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The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

[This page was last modified 02Nov16, 2:41 pm.]

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