the bael fruit ( aegle marmelos correa ) has been attributed with various nutritional and therapeutic properties . the bael fruit pulp contains many functional and bioactive compounds such as carotenoids , phenolics , alkaloids , coumarins , flavonoids , terpenoids , and other antioxidants which may protect against chronic diseases . it has been surmised that the psoralen in the pulp increases tolerance of sunlight and aids in the maintaining of normal skin color and is considered fruitful in the treatment of leucoderma . the marmelosin ( c13h12o3 ) content , found in the bael fruit , is considered as panacea of various stomach ailments . bael fruit , because of its hard shell , mucilaginous texture , and numerous seeds , is not popular as fresh fruit . however , the excellent flavor and nutritive and therapeutic value of bael fruits show potential for processing into values added products . bael is commercially considered as an important fruit , but the potential of the fruit is not fully tapped . the edible pulp , 100  g of bael fruit contains 61.5  g water , 1.8  g protein , 0.39  g fat , 1.7  g minerals , 31.8  g carbohydrate , 55  mg carotene , 0.13  mg thiamine , 1.19  mg riboflavin , 1.1  mg niacin , and 7 to 21  mg ascorbic acid . generally , three methods of juice extraction are employed , namely , cold , hot , and enzymatic methods . the use of fungal enzyme in fruit juice extraction had shown significant increase in juice recovery as compared to cold and hot extraction methods . the enzymes , mainly pectinases , and cellulases assist in pectin and cellulolytic hydrolysis , respectively , which cause a reduction in pulp viscosity and a significant increase in juice yield . the extraction of bael juice on large scale has not been explored for its commercial scale viability and exploitation but conventionally , the extraction includes addition of water to pulp , boiling and pressing of juice from the mixture . the residual pulp remaining after juice extraction still contains valuable extractable material such as particulate , flavour , and soluble solids which may further improve the final quality of the juice . by adding cell wall liquefying enzymes , it is possible to further extract valuable juice components from pulp . the area requires wider research in terms of utilization of residue , enhanced juice yield with optimum overall acceptability . the application of commercial enzyme for the different juice clarification is reported by several researchers [ 68 ] . it is more economical to use crude enzyme ( spore free and produced from gras fermentation ) for the improvement of juice yield and clarity . therefore , the present study was undertaken to use crude enzyme from a. niger for the treatment of the bael pulp to improve the juice yield with optimum overall acceptability and examine the comparative effect of enzymes in crude and purified form by using principal component analysis ( pca ) . fully ripe fresh bael fruits ( aegle marmelos correa ) of kagazi variety , without any visual defects , were procured from agricultural farm of rbs college , bichpuri , agra ( india ) . the bael fruits were broken by hammering , and the pulp was scooped out with the help of stainless steel spoon . the strain of aspergillus niger ncim 548 was obtained from the national chemical laboratory , pune . the strain was cultured on potato dextrose agar slant and subcultured after every 68 weeks . this strain was used for the production of crude enzyme under solid state fermentation ( ssf ) using wheat bran , corn bran , and kinnow peel ( in 2  :  1  :  2 ratio ) as substrate as per the method reported by kumar et al . . the enzyme contained 50  u / ml of the pectinase and 20  u / ml of the cellulase and was used for the treatment of bael fruit pulp to improve the juice yield and quality . response surface methodology ( rsm ) was used in designing the experiments as it provides the modeling and analysis of the problem in which several variables influence the output parameter , and the objective is to optimize this parameter . rsm provides a reduced number of experimental runs needed to obtain sufficient information for statistically acceptable results . a five - level three - factor the independent variables were the temperature of enzyme treatment ( x1 ) , time of treatment ( x2 ) , and used enzyme concentration ( x3 ) . the variables and their levels were chosen based on the limited literature available on enzymatic hydrolysis of fruits [ 68 ] . these were the temperature ( x1 ; 3555c ) , time ( x2 ; 210540  min ) of the enzymatic treatment , and concentration of enzyme ( x3 ; 0.060.20  ml/25  g pulp ) . the experimental design matrix in coded ( x ) form and at the actual level ( x ) of variables is given in table 1 . a total of 20 experiments were carried out by using crude enzyme under different experimental conditions as given in table 2 . the response function ( y ) was related to the coded variables by a second degree polynomial equation ( 1 ) as follows : 
 ( 1)y = b0+b1x1+b2x2+b3x3  + b12x1x2+b13x1x3+b23x2x3+b11x21+b22x22+b33x23+.   the coefficients of the polynomial were represented by b0 ( constant ) , b1 , b2 , b3 ( linear effects ) , b12 , b13 , b23 ( interaction effects ) , b11 , b22 , b33 ( quadratic effects ) , and  ( random error ) . the pretreatment conditions based on the application of commercial enzyme on the juice recovery from bael fruit were also optimized in our laboratory using ccrd design of response surface methodology . the optimum conditions observed were concentration of pectinase 5  mg/25  g of pulp ( 1.64  iu / mg ) , time 425  min , and temperature 47c as given in table 4 . the bael pulp for the treatment of enzymes was prepared as per the procedure adopted by singh et al . . the temperature was adjusted to the required level by using a high precision water bath ( seco , model 129 , india ) for all enzymatic treatment combinations . at the completion of the enzyme treatment , the treated mixture was filtered by using 6-fold cheese cloth , and the extract was heated at 90c for 5  min to inactivate the enzyme . the extract thus obtained was considered as clear juice for determining the juice yield . the clarity was determined by the method given by krop and pilnik , and viscosity of the juice was determined as per the method reported by ranganna . the juice was shaken , and 10  ml portion of juice was centrifuged at 3000  rpm for 10  min to remove pulp coarse cloud particles . the clarity of the juice obtained was determined by measuring the transmittance at a wavelength of 590  nm using uv - vis spectrophotometer ( uv 5704ss , electronics corporation of india ltd . ) . time required to flow through the capillary section of the oswald viscometer was noted using a stopwatch for the reference and the sample at 20  2c . the optimal level of three independent variables , namely , temperature ( x1 ) , time ( x2 ) of the enzymatic treatment , and concentration of enzyme ( x3 ) , was established with the help of graphical and numerical optimization procedures resulting to desirable responses which were maximum yield , maximum clarity , and minimum viscosity . for graphical optimization , a three - dimensional response surface was plotted by varying the two variables in the experimental range while keeping rest one variable constant at the centre point . the exact optimum value of individual and multiple responses was determined by a numerical optimization process using design expert software ( de6 ) ( trial version ; stat - ease inc . , the predictive models were validated on the basis of r , adjusted r , f - value , lack of fit , and so forth obtained from the analysis of the experimental data by using design expert software . for exploring the feasibility of the application of the crude enzyme in place of commercial enzymes , the usages of commercial enzymes were compared with the crude enzymes under the optimized conditions , on the same variety of bael fruit . principal component analysis was carried out by using software minitab version 16.1 ( trial version ; minitab inc . , usa ) to form a smaller number of uncorrelated variables from a large set of data . a large number of variables are reduced to a few variables called principal components ( pcs ) that describe the greatest variance in the data analyzed . the technique helps to understand the similarities and differences between the samples treated with crude and commercial enzymes separately and also establishes an interrelationship between the measured properties of the samples . the juice extracted from enzyme treated and untreated ( control ) pulp was evaluated for the juice yield ( % ) , viscosity , and clarity . table 2 shows the juice yield , apparent viscosity , and clarity under the different experimental conditions by using crude enzyme . it is clear from the data obtained that the juice has been improved significantly with respect to quantity as well as quality by the enzymatic treatment . the model was judged for its fitness and adequacy by the coefficient of determination ( r ) , which is the ratio of the explained variation to the total variation . the closer the r value to unity , the better the empirical model fits the actual data . the coefficients of determination , r , in the model were 0.9764 , 0.9738 , and 0.9806 ( table 3 ) for the regressed models predicting the juice yield , viscosity , and clarity , respectively , suggesting a good fit for the models . the adjusted r was a corrected value for r after elimination of the unnecessary model terms , which was very close to their corresponding r values for all the responses . the f value of 45.92 , 41.38 , and 56.04 for juice yield , viscosity , and juice clarity , respectively , also inferred that the models were significant ( p < 0.001 ) . the model for the juice yield , viscosity , and clarity can be derived by using the coefficients ( table 3 ) for the predictions of the data . the coefficient of variation ( cv ) describes to which extent the data are dispersed and is defined as a measure of residual variation of the data relative to the size of the mean ; the small values of cv give better reproducibility . the small cv values 1.31 , 1.33 , and 1.34 ( table 3 ) of juice yield , viscosity , and clarity , respectively , suggested that the experimental results were precise and reliable . the yield was minimum when crude pectinase enzyme 0.06  ml/25  g pulp was used for 210  min at 55c , whereas the maximum juice yield was at 0.25  ml/25  g crude pectinase enzyme concentration for 375  min at 45c .   to understand the interaction of different variables and to find the optimum level of each variable , the response surface curves were plotted . the response surface curves for juice yield are shown in figures 1(a ) and 1(b ) . each response surface curve explains the effect of two variables while keeping the third variable at middle level . figure 1(a ) represents the interactive effect of incubation temperature ( x1 ) and incubation time ( x2 ) on the juice yield , whereas the concentration of crude enzyme ( x3 ) was kept at middle level , that is , 0.13  ml/25  g of bael pulp . the juice yield increased with the increase in both time and temperature up to 473  min of time and 45.8c temperature . with further increase in temperature , the decrease in juice yield with increasing temperature beyond 45.8c may be due to denaturation of protein which may lead to decrease in enzyme activity at higher temperature . the results are supported by the findings of kaur et al . , who reported that the maximum juice yield from guava is obtained by pectinolytic enzyme treatment of pulp at 43.3c temperature for 447  min of time . figure 1(b ) presents the interaction effect of incubation temperature ( x1 ) and crude enzyme concentration ( x3 ) to juice yield . at higher temperature and enzyme concentration , the juice yield followed a linear behaviour which reflects that with increase in enzyme concentration and temperature , juice yield increased up to maximum concentration of enzyme , that is , 0.20  ml/25  g pulp and 45c temperature , respectively . thereafter , the juice yield decreased slowly beyond 45c , which may be due to decrease in enzyme activity at higher temperature . the increase in plum juice yield with pectinase enzyme is also supported by singh and das gupta   who reported that pectinases increase the juice yield from 48% to 77.5% . the viscosity of the bael juice ranged from 1.40 to 1.69  cps under the different experimental conditions ( table 2 ) . the minimum viscosity was observed at 0.25  ml/25  g crude enzyme concentration for 375  min at 45c . the corresponding condition for maximum viscosity was 0.06  ml/25  g crude enzyme concentration , for 210  min at 55c . it is clear from figure 2(a ) that viscosity decreased with increase in both time and temperature up to 510  min of time and 44c temperature . the findings are in accordance with kumar and sharma   who reported that the viscosity of the juice decreased with increase in temperature up to 47c . the temperature increases the rate of enzymatic reactions . upon enzyme treatment , degradation of pectin leads to a reduction of water holding capacity , and consequently free water was released to the system thus reducing the viscosity of the juice . figure 2(b ) presents the interaction effect of incubation temperature ( x1 ) and crude enzyme concentration ( x3 ) to viscosity . the viscosity decreased with the increase in both concentration of enzyme and incubation temperature up to 0.20  ml/25  g of pulp of crude enzyme concentration and 40c temperature . observed that the viscosity of the juice decreases when the enzyme concentration is increased from 0.01% to its maximum value ( 0.1% ) . the clarity of the extracted juice was in a range from 16.60 to 21.10 % t. the minimum clarity was observed when 0.13  ml/25  g pulp , crude enzyme concentration was used for 375  min at 61.81c . the rate of clarification increases with an increase in enzyme concentration may be due to the exposure of positively charged protein beneath , which reduces electrostatic repulsion between cloud particles causing these particles to aggregate into larger particles and eventually settled out . multiple regression technique was used to develop a response surface analysis of juice clarity as a function of enzymatic hydrolysis process variables . all the variables affected the juice clarity significantly ( table 2 ) . the time ( x2 ) had the most significant effect . the response surface curves were plotted to explain the interaction of the variables and to determine the optimum level of each variable ( figures 3(a ) and 3(b ) ) . figure 3(a ) shows the effect of incubation temperature ( x1 ) and time ( x2 ) on juice clarity keeping the third at its middle level . it is clear from the figure that the clarity of the juice increased with both incubation time and temperature up to 509.60  min and 43.81c temperature , respectively . observed that the clarity of the blended carrot - orange juice decreased when the temperature was increased above 50c . figure 3(b ) reveals the effect of incubation temperature ( x1 ) and crude enzyme concentration ( x3 ) on the clarity of juice . it was evident that the clarity of juice increased with increase in temperature up to 43.90c and crude enzyme concentration of 0.19  ml / per 25  g of pulp . degradation of the polysaccharides like pectin leads to a reduction in water holding capacity , and consequently , free water is released to the system which increases the yield and clarity of juice . with further increase in the incubation temperature , the process was optimized by keeping the main constraints as maximum possible juice yield , maximum clarity , and minimum viscosity of juice . under these constraints , the optimum treatment conditions were found to be incubation temperature 44.97c , time 474.50  min , and concentration of crude enzyme 0.20  ml/25  g of pulp ( table 4 ) . but practically , it is difficult to maintain the recommended conditions during processing , and it is expected that there may be some deviation . hence , the optimum conditions were targeted as temperature 45c , time 475  min , and concentration of enzyme 0.20  ml/25  g of pulp . the experiments were conducted to check the variation in juice yield , viscosity , and clarity of juice under the optimum conditions while keeping the target constraints . the results indicate a high fit degree between the observed and predicted values from the regression model .   the optimized conditions for the pretreatment of bael pulp using commercial enzymes were concentration of pectinase 5  mg/25  g of pulp ( 1.64  iu / mg ) , time 425  min , and temperature 47c ( table 4 ) , and the responses , juice recovery , viscosity , and clarity , were 84.5% , 1.35  cps , and 22.43%t , respectively , under the optimized conditions . the juice yield , viscosity , and clarity from the crude enzyme treated pulp were 82.9% , 1.41  cps , and 21.32%t , respectively , under the optimized conditions . it is evident from the data ( table 5 ) that the crude enzyme treatment is equally competitive to the commercial enzymes . the possible cause of crude enzyme competitiveness may be a cumulative effect of other polysaccharases such as cellulases and hemicellulases along with the pectinases present in the crude enzyme . principal component analysis ( pca ) was used to obtain a lesser number of uncorrelated variables from a large set of data . the objective of principal components analysis was to explain the maximum amount of variance with the least number of principal components . the pca plots provide an overview of the similarities and differences between the crude and commercial enzyme treated samples and of the interrelationships among the various measured properties . the distance between the locations of both the samples on the score plot is directly proportional to the degree of difference or similarity between them ( figure 4(b ) ) . the score plot ( figure 4(b ) ) clearly indicates that the commercial enzyme treated sample shows maximum variance in first principal component , whereas crude enzyme treated sample shows maximum variance in second principal component . therefore , the variables of commercial enzyme treated samples can be considered as significant first principal components . maximum covariance of 57% was obtained in first principal component , whereas in second principal component , variances of 68% , 73% , and 5.1% were found for yield , viscosity , and clarity , respectively . the maximum eigen value in the correlation matrix was 3 , which was the nearest to the variance derived from clarity ; thereby , the variable clarity in second principal component can be considered as a significant variable to differentiate between crude and commercial enzymes treated juices . it is evident from the loading plot of variables , that clarity and yield are correlated to higher degree as compared to the viscosity . it is suggested from this analysis that only two variables that is , clarity and yield , are to be studied for comparing samples of juice treated with either of enzymes . the present study concluded that bael juice yield , viscosity , and clarity are functions of enzymatic hydrolysis conditions . significant regression model describing the variation of juice yield , viscosity , and clarity with respect to the independent variables , temperature , time , and concentration of crude enzyme , was found adequately fit to predict the responses under study . the usage of either crude or commercial enzymes significantly enhanced juice yield and clarity as compared to the control . according to principal component analysis , it is suggested to study juice yield and clarity while comparing the different samples treated with either of the enzymes . the study also indicates the equal effectiveness and competitiveness of crude enzyme as of commercial enzymes , and thus it may be one of the important considerations to reduce the processing cost .