Enhancement in the Synthesis of FBGs by RSM
J. Agric. Food Chem., Vol. 56, No. 23, 2008 11497
effect of the substrate molar ratio on the conversion was
significant (p < 0.05). The conversion increased as the substrate
molar ratio was increased from 1 to 3; however, when the
substrate molar ratio is larger than 3, it could lead to a decrease
in conversion. These results indicate that the excess of TB would
lead to an increased limitation of the substrate-enzyme reaction
sites, which leads to a decrease in conversion. It was concluded
that a high conversion could be obtained by combining aw )
Table 5. Optimum Conditions Founded by the Model for the Conversion of
FBGs
run 1
53.62
5.5
50.76
2.91
0.14
run 2
53.1
reaction temp (°C)
reaction time (day)
enzyme concn (mg/mL)
TB:EF molar ratio
aw
6
36.25
3.12
0.20
predicted value (%)
experimental value (%) ( SD
79.92
81.21 ( 0.7
64.69
62.04 ( 0.9
0
.15 and a substrate molar ratio of TB to EF of 3.
a
Figure 3b shows the effect of the reaction time and reaction
temperature on the conversion of the reaction with a 40 mg/
mL enzyme concentration, a substrate molar ratio of TB to EF
of 3, and aw ) 0.15. As presented in Figure 3b, an increasing
reaction temperature could raise the conversion of the reaction
strongly. It was indicated that a high temperature can activate
the substrate molecules, reduce the viscosity of the reaction,
and lead to a higher reaction rate. Also, within the given range
a
Standard deviation of triplicate determinations from different experiments.
2
7-30). Thus, it could be concluded that the optimization of
lipase-catalyzed synthesis of FBGs by Novozyme 435 was
successfully developed by RSM. The experimental conditions
allowed a quantitative and maximum conversion of FBGs.
LITERATURE CITED
(4-6 days) of reaction time, the conversion yield of the reaction
increased almost linearly with an increase in the reaction time.
This phenomenon has also been reported by Dossat et al. (24).
Not surprisingly, the conversion of the reaction peaked with a
maximum conversion of 69.4% at 55 °C and 6 days. From the
analysis of the response surface plots, both the reaction
temperature and reaction time exhibited a positive influence on
the response surface.
(
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Figure 3c denotes the effect of the substrate molar ratio and
reaction temperature on the conversion of the reaction at 5 days,
a 40 mg/mL enzyme concentration, and aw ) 0.15. The
interaction term of the substrate molar ratio and reaction
temperature played an important role in the process of the
reaction as was evident from its first-order effect (p < 0.05).
When the reaction temperature and substrate molar ratio
increased to 55 °C and 4, respectively, the conversion of the
reaction achieved was 72.7%. It must be pointed out that, at
low temperature (<50 °C), conversion declined with increasing
substrate molar ratio, which could be attributed to the fact that
there was great resistance of the viscosity of the reaction caused
by a high amount of TB when the temperature was low.
Figure 3d shows the enzyme concentration and temperature
effect on the conversion of the reaction at 5 days, a substrate
molar ratio of TB to EF of 3, and aw ) 0.15. It was observed
that the interaction between the reaction temperature and enzyme
concentration obviously affects the conversion, and this was
also confirmed by the p value (p ) 0.004). At any given enzyme
concentration in the investigated range (30-50 mg/mL), an
increase in the temperature from 45 to 55 °C could lead to an
increase in conversion. The reaction with a high reaction
temperature (55 °C) and enzyme amount (50 mg/mL) favored
maximal conversion, which indicated the same report from Novo
Nordisk Bioindustrials that the enzyme is stable in an organic
solvent at higher temperature (40-60 °C).
Model Verification. Within the experimental range studied,
optimum conditions for synthesis of FBGs were predicted using
the optimization function of Design Expert. Two sets of
predicted reaction conditions are presented in Table 5 along
with their predicted and actual values. To validate the predicted
results, experiments using the improved formula were per-
formed, and the observed values are shown in Table 5. On the
basis of the solution given by the design, two runs of
experiments were established at the fixed conditions. The
experimental values were found to be in reasonable agreement
with the predicted ones, which confirmed the validity and
adequacy of the predicted models. Moreover, the conversion is
higher as compared to the conditions before optimization (trials
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