Model number
0285

  

Dual comp2 flow-exchange models in series with recirculation and clearance.

Description

A two organ two comparmental model with recirculation for exchange between plasma and ISF in both organs, with an input function, Cin, defined at run time using the function generator. Set Clear to 0 for no clearance, Clear to 1 for complete clearance (no recirculation).

 DIAGRAM:
              __________________         __________________
              |V1p      C1p(t) | C1p(t)  |V2p      C2p(t) | C2p(t)
  Cin->--(+)->|                |--->---->|                |--->|
          ^   |     ^ PS1c     |  Flow   |      ^  PS2c   |    |
          |   ------|----------|         -------|=--------|    |
          |   |     v  C1isf(t)|         |      v C2isf(t)|    |
          |   |                |         |                |    v
   Clear \_   |V1isf           |         |V2isf           |    |
          |   -----------------|         ------------------    |
          |                       Flow                         |
          -------------------------<----------------------------

 

 

Equations

 Ordinary Differential Equations

e1

e2

e3

e4

Initial Conditions

e5,

e6,

e7,

e8

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.

Download JSim model project file

  

Help running a JSim model.

References
  Jacquez JA. Compartmental analysis in biology and medicine.
 3rd ed.. Ann Arbor, MI: BioMedware, 1996, 514 pp.
Key terms
compartment
compartmental
flow and exchange
mixing chamber
permeability
PS/F
washout
organ
multi-organ
Comp2x2Recirc
Tutorial
Acknowledgements

Please cite https://www.imagwiki.nibib.nih.gov/physiome 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 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.