Model number

Relative dispersion: A characterizing feature of specific vascular beds. Anesth Analg 56: 72-77, 1977.


   This model is BTEX10 with parameters generating Figure 2 of the reference given
below. A second model is included to illustrate Figure 5 of the reference.

fig 1

  Upper Left: SPATIAL (SKewness=0). A random process causes spreading 
  that is symmetrical with respect to distance around the centroid.

  Upper Right: TEMPORAL (Skewness>0, right-skewed). Concentration-time 
  curves obtained be sampling at a given location are always right-skewed.

  Lower:  Effect of Mean trans-pulmonary transit time on pulmonary dispersion.
  Transpulmonary dispersion is very nearly proportional to mean transit
  time in anesthetized dogs. The ordinatee is the SD. Relative dispersion is 
  the ratio of ordinate to abscissa, or the slope and is nearly constant. 


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.

Key terms
piston flow or plug flow

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.