Summary
A new mathematical treatment is presented which simplifies the solution of carrier-diffusion problems. The method is generally applicable and is illustrated and tested for a specific, commonly occurring situation: facilitated diffusion of a single substrate through flat layers. Results predicted for total substrate flux are in excellent agreement with control computer calculations. The method also can be used to obtain concentration profiles for each species; here the results are good only if conditions at the boundaries are predicted correctly.
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Hoofd, L., Kreuzer, F. A new mathematical approach for solving carrier-facilitated steady-state diffusion problems. J. Math. Biology 8, 1–13 (1979). https://doi.org/10.1007/BF00280581
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DOI: https://doi.org/10.1007/BF00280581