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

Comp3FlowExch

Three compartment model for plasma (p), interstitial fluid (ISF) and parenchymal cell (pc)

Model number: 0267

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Description

Three Compartment model for exchange between plasma, ISF and parenchymal cell with flow in the plasma compartment. The flow transports an inflowing concentration, Cin, into the plasma compartment and transports the outflowing concentration, Cp, out of the plasma compartment.

Equations

 

     Ordinary Differential Equations




     Initial Conditions

  ,     ,   .

     Analytic Solutions when Cin is constant

  ,     and   .

The equations for this model may also 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.

Download JSim project file

References

None.

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Key Terms

compartment, compartmental, flow, exchange, mixing chamber, permeability, PS/F, washout, inflow-outflow operator, plasma, ISF, parenchymal cell, Tutorial

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Model History

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Acknowledgements

Please cite www.physiome.org in any publication for which this software is used and send one reprint to the address given below:
The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

[This page was last modified 02Nov16, 2:27 pm.]

Model development and archiving support at physiome.org provided by the following grants: 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.