Models four different viscoelastic compartments with one or two chambers for modeling lungs.

Description

These equations model various configurations of a viscoelestic lung
compartment as developed by Bates. Each model includes a resistance term 
(represented by lung resistance) and a spring recoil term (spring resistance 
represented by 1 / lung compliance). Each configuration of either one (simple 
or Maxwell) or two (parallel or series) compartment can be modified to add to 
a larger model or can be used alone as a simple model.
While these models were developed for positive pressure ventilation,
they can also be adapted for passive exhalation. If possitive pressure
ventilation is used, the difference in compartment behavior is much clearer
than for the passive exhalation.

Images adapted from Bates

Equations

    Simple One Compartment Model

    Maxwell One Compartment Model

    Parallel Two Compartment Model

    Series Two Compartment Model

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.