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Fig. 9. Example of mathematical modeling of reaction rate and effectiveness factor
for the case with diffusion for various values of k1 and
k2 with a fixed diffusion distance (L=104.5) and
O2 boundary concentration of 7.85 µmol l–1. The
experimentally measured rate of AP recovery of 0.379 mmol l–1
min–1 is indicated by the unbroken line, which shows the
range of values of k1 and k2 that
satisfy this rate (left panel), and the corresponding effectiveness factor
(right panel). Values of k1 and k2
that satisfied the observed rate and maximized the effectiveness factor were
then determined using a root-finding method (see text).