This page will look better in a graphical browser that supports web standards, but is accessible to any browser or internet device.

Served by Samwise.

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

Comp2FlowExchangeReaction

Model with two species A and B, with flow in a plasma compartment and exchange with an interstitial fluid compartment with A converting to B reversibly.

Model number: 0248

Run Model: 
    Help running a JSim model.
Java runtime required. Web browser must support Java Applets.
(JSim model applet may take 10-20 seconds to load.)

Description

    This is a two compartment model (plasma and isf) exchange model with flow in the plasma compartment. Both spaces are instantaneously well mixed. A and B reversibly convert to each other in the isf space. The isf space can also be used as a cell space. Flow, Fp, and exchange rates, PSa and PSb, have the same units, ml/(g*min) (milliliters per minute per gram of tissue). These units are used in the physiological terminology to relate them to fluxes per gram of tissue.
    The conversion rates have the same units, ml/(g*min). Ga2b is the conversion rate of A going to B, and Gb2a is the conversion rate of B becoming A.
    The steady state solutions for constant inflow of A are solved implicitly, using the final value of the input concentration (assumed to have been constant).

Further reading:

Equations

 

     Ordinary Differential Equations





     Initial Conditions

,  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.

Related Models

Single Compartment Models:

Two Compartment Models:

N>2 Compartment Models:

Osmotic Exchange:

Pharmacology:

Key Terms

Course, compartment, compartmental, tutorial, exchange, multiple compartments, flux, steady state, reaction, conversion, flow, implicit equations

Model Feedback

We welcome comments and feedback for this model. Please use the button below to send comments:

Model History

Get Model history in CVS.

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, 2:26 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.