Biomedical Engineering Reference
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Figure 17. (a) Oxidation processes of ( { ) linoleic acid with no additive and that mixed with ( )
ascorbic acid, ( ) octanoyl ascorbate, ( U ) lauroyl ascorbate or ( V ) palmitoyl ascorbate at the molar
ratio = 0.05 and at 80 o C. The solid curves were drawn using the k and Y 0 values estimated in Figure
17(b); (b) Determination of the rate constant, k , in the rate expression of the autocatalytic type at 80 o C
and with the molar ratio = 0.05. The symbols are the same as those in Figure 17(a). Y denotes the
fraction of unoxidized linoleic acid. The solid curves were drawn based on Eq. 10.
where Y 0 is the initial fraction of unoxidized substrate and determines the induction period
due to the mathematical nature of the equation. The applicability of Eq. 9 to the oxidation
processes of linoleic acid mixed with various ascorbates was examined. Linear plots of ln [(1-
Y )/ Y ] versus t for the oxidation process are shown in Figure 17(b). Based on a linear
regression analysis, the k and Y 0 values were determined from the slope and the intercept,
respectively. The k and Y 0 values for the oxidation processes of linoleic acid at 37, 50 and
65 o C were also estimated in the same manner. Figure 18 shows the relationship between the
acyl chain length of the ascorbates and the k value at various temperatures. At any
temperature, the k value for linoleic acid with no additive was greater than that for LA with
ascorbic acid or ascorbate. When octanoyl, lauroyl or palmitoyl ascorbate was added to
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