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

Progress3.React

Sequence of three uncatalyzed 1st order irreversible reactions.

Model number: 0269

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Description

In a single compartment A is converted to B in an irreversible reaction and B is converted to C in an irreversible reaction. The system conserves mass. At any time, A(t)+B(t)+C(t) = A(0)+B(0)+C(0).

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.

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References

  None

Related Models

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Two Compartment Models:

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Pharmacology:

Key Terms

Progress curves, irreversible reactions, first order kinetics, tutorial, progress3.react

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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, 2:41 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.