Ventilation / Perfusion Distributions and Gas Exchange
This is a computer simulation of mammalian gas exchange. Its purpose is to provide an easy way to play around with and thereby discover the relative importance of the major factors determining arterial blood gas composition. These factors are:
1. the distribution of fractional ventilation and perfusion in the lung (V/Q)
2. the composition of the mixed venous blood
3. the inspired oxygen fraction (FiO_{2})
4. the overall O_{2} uptake and CO_{2} output required by the body
5. the cardiac output and minute ventilation
These are some of the assumptions present in the model:
1. Gas exchange is modeled as a parallel model of ventilation and perfusion. The model looks like this:
2. Because of this arrangement, the arterial composition is a perfusion weighted average of the end-capillary O_{2} and CO_{2} contents. Similarly, the mixed expired PO_{2} and PCO_{2} are ventilation weighted averages of the alveolar PO_{2} and PCO_{2} of the compartments.
3. Gas exchange is steady-state and complete equilibration of the alveolar gas and capillary blood occurs (ie there is no diffusion impairment). The compartment compositions are computed by solving the coupled non-linear equations of mass balance for O_{2}, CO_{2}, and N_{2}.
4. An 11 compartment model is used. Each compartment has a specified V/Q ratio and you determine the fractional bloodflow of each compartment when you start the simulation. The V/Q ratios are roughly equally spaced on a log scale to cover the range of useful values.
Two simulations are provided. The first (VAQ.htm) allows you to specify the V/Q distribution and the mixed venous composition and then compute the arterial composition. The second simulation (VO2.htm) is more complex. It allows you to specify the V/Q distribution, the cardiac output, and the total O_{2} consumption (VO_{2}) and CO_{2} production (VCO_{2}) required by the body. The program then finds the appropriate mixed venous composition and the arterial and mixed expired compositions.
If you would like to, feel free to review the quantitative physiology of arterial blood gases here.
Here are some simple observations you should investigate:
Click here for VAQ.htm
Click here for VO2.htm
If you would like to study the code or mathematics behind these simulations, please visit with me. You can send junk mail to nojunk@siumed.edu If you'd like to send email, substitute kkapitan for nojunk in the previous address.
Kent S Kapitan, MD