Model number


Two organ model recirculating system with shunt. Has separate three region compartmental exchange (CTEX) and blood tissue exchange (BTEX).


   Two organ model with with each organ broken into two parts: a three compartment organ 
   tissue exchange (CTEX) and a three region axially distributed blood tissue exchange (BTEX).
   The CTEX is modeled using n number of serial stirred tanks. A shunt is used to change 
   the distribution of the recirculating flow within the system. The effect of material clearance
   from organs can be calculated. See notes page for some simple examples that illustrate the model.

fig 1


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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   Bassingthwaighte JB, Wang CY, and Chan IS. Blood-tissue exchange via transport
   and transformation by endothelial cells. Circ Res 65: 997-1020, 1989.

   Bassingthwaighte JB, Chan IS, and Wang CY. Computationally efficient algorithms
   for capillary convection-permeation-diffusion models for blood-tissue exchange. Ann Biomed
   Eng 20: 687-725, 1992.

   Crone C. The permeability of capillaries in various organs as determined by the use of
   the 'indicator diffusion' method. Acta Physiol Scand 58: 292-305, 1963

   Li Z, Yipintsoi T, and Bassingthwaighte JB. Nonlinear model for capillary-tissue
   oxygen transport and metabolism. Ann Biomed Eng 25: 604-619, 1997.

   Poulain CA, Finlayson BA, and Bassingthwaighte JB. Efficient numerical methods
   for nonlinear facilitated transport and exchange in a blood-tissue exchange unit. Ann Biomed Eng
   25: 547-564, 1997.
Key terms
three region
whole organ

Please cite 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.

Model development and archiving support at 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.