This theoretical model simulates the diffusional transport of fatty acid from a constant source through two unstirred regions separated by a permeable membrane.
Model number: 0135
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Model for albumin-facilitated diffusion of palmitate in plane slab from a plane source (equilibrated) to a planar membrane which palmitate permeates. Same as the 1 region model except there are now 2 regions with spatial domains x and y, with duplicated code, the second being suffixed “y” on variables and parameters so that comparisons can be made. The 2 regions are not connected, but this code will serve as the basis for code in which the regions are connected, which reproduces the full model in Barta et al 2000. This model assumes only 1 binding site on albumin, and has adjustable rates and kd.
with boundary conditions:
and at x=xmax
The equations for this model may also 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.
Barta, Efrath; Sideman, Samuel; and Bassingthwaighte, James B.; Facilitated Diffusion and Membrane Permeation of Fatty Acid in Albumin Solutions, ABME 28: 331-345, 2000
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- Safford 1977 Dead end pore model for Calcium diffusion in muscle
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- Facilitated diffusion through 2 regions
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Posted by: BEJ
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[This page was last modified 02Nov16, 2:31 pm.]
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