Models diffusion through one dimensional slab with a constant diffusion coefficient, D, with flux into recipient chamber on right used to estimate the diffusion coefficient. Model includes partition coefficient.

Description

    In this model we calculate the one dimensional diffusion across a region 
    with a single rate of diffusion, D. On the left hand side the concentration
    is held constant (mixed, large reservoir) and at the right hand side is set at 0 mM at t=0
    in VolR, the recipient mixing chamber.  The partition coefficient, lambda, is the
    ratio of the concentration immediately inside the slab or region of diffusion
    to that immediately outside the region. It has been set to 0.9 in the example.
    This model serves as the basis for all the other slab diffusion model in which 
    the diffusion domain may have heterogeneities in thickness, in internal binding,
    in paths through cells and around them.
                            
                   OCEAN      |     SLAB        |  Recipient Chamber
                              |   Concn = C     |
                 CL0 = 10 mM  |                 |  CR0 = 0 mM
                              |  D = Diff Coeff |
                              |                 |  VolR
                              |                 |
                              |    C0 = 0 mM    |
                              |                 |
                             x=0  Thickness    x=L

Equations

None.

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.