Effect of enzymatic treatment on clarity of juice
The effect of enzyme concentration, temperature and time on clarity of prickly pear juice is presented in the Table 1. Fig 1a showed that the clarity of juice was increased with an increase in the enzyme concentration and incubation temperature up to 0.087% and 43°C, respectively. It was expected to be increased up to 50.94%T at this combination of enzyme concentration and temperature. The perusal of contour map (Fig 2a) indicated that the clarity of juice was increased with an increase in incubation temperature up to 47°C and incubation time up to its maximum level of 180 min. This interaction level of temperature and time was proposed to increase the juice clarity up to 55.04%T. The interaction of enzyme concentration and incubation time caused to increase the clarity up to 54.81%T (Fig 3a). The enzyme concentration and incubation time at this juncture was determined as 0.062% and 180 min, respectively. The higher incubation time provided the sufficient time to pectinase for breakdown of pectin which was the main phenomenon responsible for increase in juice clarity after prolonged time
(Karangwa et al., 2010). The resultant model, giving the empirical relation between the clarity of juice and the test variables in coded units, was obtained as under:
Clarity= 49.51+0.285X1-10968X2+1.983X3-0.787X12-1.975X22 + 0.641X32 - 1.806X1X2 + 0.271X1X3 + 0.111X2X3 ..........(2)
Effect of enzymatic treatment on color index of juice
The data as tabulated in Table 1 as well as the interaction plots of color index of prickly pear juice (Fig 1b) showed the positive effect of enzyme concentration and incubation temperature up to 0.047% and 44°C, respectively. This interaction was expected to increase the color index of juice up to 0.612 abs. However, with further increase in enzyme concentration and incubation temperature, the color index was decreased. Similarly, the positive effect of interaction of incubation temperature and time on color index of prickly pear juice was observed up to 44°C and 126 min, respectively. It was likely to be increased up to 0.612 abs at this combination of temperature and time (Fig 2b). Further increase in incubation temperature and time reduced the color index of juice. The interaction of enzyme concentration and incubation time, was effective up to 0.042% and 131 min, respectively. This interaction was expected to improve the color index of juice up to 0.596 abs (Fig 3b). But, the color index was decreased with further rise in enzyme concentration and incubation time. The regression model as derived for the color index of juice is given as under:
Color index = 0.593-0.009X1- 0.034X2 + 0.008X3 -0.016X12 -0.016X22 + 0.017X32 - 0.005X1X2 + 0.008X1X3 + 0.002X2X3 ..........(3)
Effect of enzymatic treatment on betalain content
The data showing the effect of enzyme concentration, temperature and time on betalain content of clarified prickly pear juice are tabularized in Table 1. The response surface and contour plot for the betalain content of juice as a function of enzyme concentration and incubation temperature (Fig 1c) revealed that betalain content of juice was increased with an increase of enzyme concentration up to 0.05% and incubation temperature up to 47°C, respectively. For this interaction, it was possible to increase the betalain content of juice up to 544.80 mg/L. The contour map for betalain content (Fig 2c) indicated that interaction of incubation temperature and time positively affected the betalain content till 47°C and 128 min, respectively. The betalain content of the juice was expected to be increased up to 544.90 mg/L of juice at this combination of temperature and time. The betalain content was found to be decreased with further increase in temperature and time. For the third interaction as shown Fig 3c, the betalain content was found to be increased up to 0.053% enzyme concentration and 147 min incubation time. This combination was expected to increase the betalain content up to 542.64 mg/L of juice. The following empirical model in coded form was derived for the betalain content.
..........(4)
Effect of enzymatic treatment on ascorbic acid
Increase of enzyme concentration and incubation temperature, could play the beneficial role only up to 0.062% and 42°C, respectively and expected to increase the ascorbic acid up to 9.34 mg/100 g (Fig 1d). Increase in ascorbic acid was observed with the increase of incubation temperature and time up to 43°C and 86 min, respectively (Fig 2d). This interaction predicted the rise in ascorbic acid up to 9.40 mg/100 g. The interaction effect as presented through contour graph (Fig 3d) revealed that there was decrease in ascorbic acid in the juice with an increase in both enzyme concentration and incubation time. Incubation time had shown its significant effect in decreasing ascorbic acid in comparison to enzyme concentration. Therefore, the lowest ascorbic acid (8.36 mg/100g) was observed at combination of 0.01% enzyme concentration and 180 min incubation time. While, the highest (9.63 mg/100 g) was observed for the interaction of 0.01% enzyme concentration and 60 min incubation time. The model as derived and giving the empirical relation between ascorbic acid vale and test variables in coded units, was obtained as under:
Ascorbic acid = 9.223-0.008X1 -0.187X2 + 0.152X3-0.016X12-0.074X22 +0.069X32 -0.018X1X2+0.135X1X3+0.018X2X3 ..........(5)
Fitting the model
The different models for the different dependent variables,
viz. clarity, color index, betalain content and ascorbic acid, were derived as represented by the Eq. 2, Eq. 3, Eq. 4 and Eq. 5, respectively. The values of different indicators for the model fitting were obtained for these selected parameters as reported in the Table 2. The calculated F-value was significant at p<0.001 for all the selected responses. At the same time, all these parameters possessed non-significant lack of fit (p>0.05). These values indicated that the models as derived for all the selected parameters were fitted and reliable. The R2 and Adj-R2 value for all the responses as determined through regression analysis were higher than the 0.8, which demonstrated the adequacy, good fit and high significance of the model. The Pred-R2 value for all the factors was in reasonable agreement with the Adj-R2. The high Adeq Precision value (>4) again supported the significance of all the derived models. The small value of coefficient of variation for all the responses explained that the experimental results were precise and reliable (Table 2).
Optimization of process variables
Among the different independent variables, enzyme concentration has the greatest impact on the processing cost. To economize the process, minimum enzyme concentrations were used as criteria in numerical optimization and ideal operational conditions were derived. Accordingly, the goals that were set for variables and responses to obtain the optimum processing condition are illustrated in the Table 3. Under these constraints, the optimum treatment conditions were found to be, 0.036% (w/w) enzyme concentration, 46°C incubation temperature and 112 min incubation time. The analysis showed that at this combination of enzyme concentration, incubation temperature and incubation time, it would be possible to produce the juice with a clarity of 48.59% T, color index of 0.603 abs, betalain content of 542.93 mg/L of juice and ascorbic acid of 9.35 mg/100 g. Using these optimized conditions, the experiments were again conducted to find the variation in the different response variables. The results revealed that the experimental values of conducted experiments were very close to the predicted values (Table 3). This implied that there was a high degree of fit between the observed and predicted values from the regression models and each model was quite accurate in prediction. The closeness of the observed and predicted responses indicated the validity of developed model.