Model number
0003

Exchange of gas in external air into a linearly compliant lung with calculation of inhaled gas concentration in lung over a series of breaths.

Description

Most of the code for this model is identical to the code in OneAlvLung. The parts that are different are the additional code for calculating a concentration of a substance in the lung and the non-linear compliance which decreases at high and low volumes causing the pressure in the lung to rise or decrease respectively relative to a constant compliance. The verification correctly calculates the concentration once every six seconds when R × Com ≤ 0.5 sec.

Equations

The equations for this model may be viewed by running the JSim model applet and clicking on the Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in JSim's Mathematical Modeling Language (MML). See the Introduction to MML and the MML Reference Manual. Additional documentation for MML can be found by using the search option at the Physiome home page.

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References
M.G. Levitsky, Pulmonary Physiology, Sixth Edition, McGraw Hill, 2003.
Key terms
lung
non-linear
compliance
resistance
RC circuit
mechanics
airflow
trachea
tidal volume
positive pressure
ventilation
tutorial
Acknowledgements

Please cite https://www.imagwiki.nibib.nih.gov/physiome in any publication for which this software is used and send an email with the citation and, if possible, a PDF file of the paper to: 
Or send a copy to:
The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

Model development and archiving support at https://www.imagwiki.nibib.nih.gov/physiome provided by the following grants: NIH U01HL122199 Analyzing the Cardiac Power Grid, 09/15/2015 - 05/31/2020, NIH/NIBIB BE08407 Software Integration, JSim and SBW 6/1/09-5/31/13; NIH/NHLBI T15 HL88516-01 Modeling for Heart, Lung and Blood: From Cell to Organ, 4/1/07-3/31/11; NSF BES-0506477 Adaptive Multi-Scale Model Simulation, 8/15/05-7/31/08; NIH/NHLBI R01 HL073598 Core 3: 3D Imaging and Computer Modeling of the Respiratory Tract, 9/1/04-8/31/09; as well as prior support from NIH/NCRR P41 RR01243 Simulation Resource in Circulatory Mass Transport and Exchange, 12/1/1980-11/30/01 and NIH/NIBIB R01 EB001973 JSim: A Simulation Analysis Platform, 3/1/02-2/28/07.