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RSM plots and contour plots depicting effects of interaction between temperature, extraction time and solvent on TPC level. A, B: ethanol interaction with temperature; C, D: solvent interaction with solvent and extraction time; E, F: temperature interaction with extraction time 

RSM plots and contour plots depicting effects of interaction between temperature, extraction time and solvent on TPC level. A, B: ethanol interaction with temperature; C, D: solvent interaction with solvent and extraction time; E, F: temperature interaction with extraction time 

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Purpose: To employ response surface methodology (RSM) hinged on a central composite design (CCD) for the optimization of the extraction of polyphenols from Sorghum moench (Sorghum M). Methods: The combined influence of independent variables were assessed with RSM. Total phenolic content (TPC) determination was carried out using Folin-Ciocalteu meth...

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... results indicate that the model cannot explain total variance. Figure 1 shows contour plot response surfaces of TPC. A significant influence was produced on maximization of TPC extract by the two-factor interaction between temperature and solvent concentration (AB, p < 0.05). ...
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... significant influence was produced on maximization of TPC extract by the two-factor interaction between temperature and solvent concentration (AB, p < 0.05). From the results, it is clear that 50-70% (v/v) ethanol and temperatures above 45 • C yielded high extracts of TPC (Figures 1A and 1B). ...
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... the interaction between solvent concentration and extraction time (AC) had significant effect (p < 0.05) on TPC extraction. Moreover, ethanol concentrations within the range 50 -70 % (v/v), and extraction times above 2.5 h resulted in higher TPC yields ( Figures 1C and 1D). However, no significant effect was produced on the extraction of TPC by the interaction between extraction temperature and extraction time (BC, p > 0.05). ...
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... four models shown in Table 2 were obtained by using DDPH radical scavenging ability, TPCs, catechin, ferulic acid, and p-coumaric acid as response variables in RSM, while the fitted TPC model parameters are presented in Table 3. Statistical significance (p< 0.05) was seen in A, B and C (lines variables), and in A 2 ,B 2 and C 2 (quadratic variables), which indicated polyphenol extractability was strongly influenced by these factors. Two of the two-variable interactions AB and AC had significant influences (p <0.05) affected extraction yield, but BC interaction did not produce any significant influence (p >0.05). These are reflected in the regression equation: (B variables with negative coefficients depict decreased response, while increase in response was due to positive coefficients of the variables A and C). Table 4 depicts results of fitting models for DPPH radical scavenging activity. F-test and p value were used to assess the model significance. The p value was 0.0883, which suggests adequacy of the model for use as a predictor within the range of experimental variables. Table 5 shows the design matrix and results of ANOVA, fitness and adequacy of the models for ferulic acid content. The determination coefficient (R 2 ) obtained from variance of quadratic regression model was 0.6952. This demonstrates the inadequacy of the model for explaining total variance. In addition, the adjusted R 2 value was 0.4209 which also showed that the model lacked significance. The model was also inadequate for making predictions over the range of variables used in the experiment. The values of the regression coefficients (Table 5) indicate that C 2 was significantly different (p< 0.05). However, there were no significant differences between AB, AC and BC. Table 6 shows that the multiple correlation coefficient (r) and determination coefficient (R 2 ) were not satisfactory to describe p-coumaric acid. The value of R 2 from the quadratic regression model was 0.4397, suggesting that the model cannot explain the total variance. Table 7, the quadratic models lacked significance and fit (p>0.05) with respect to catechin. In addition, the regression model produced R 2 value of 0.5489. These results indicate that the model cannot explain total variance. Figure 1 shows contour plot response surfaces of TPC. A significant influence was produced on maximization of TPC extract by the two-factor interaction between temperature and solvent concentration (AB, p < 0.05). From the results, it is clear that 50-70% (v/v) ethanol and temperatures above 45 • C yielded high extracts of TPC (Figures 1A and ...
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... four models shown in Table 2 were obtained by using DDPH radical scavenging ability, TPCs, catechin, ferulic acid, and p-coumaric acid as response variables in RSM, while the fitted TPC model parameters are presented in Table 3. Statistical significance (p< 0.05) was seen in A, B and C (lines variables), and in A 2 ,B 2 and C 2 (quadratic variables), which indicated polyphenol extractability was strongly influenced by these factors. Two of the two-variable interactions AB and AC had significant influences (p <0.05) affected extraction yield, but BC interaction did not produce any significant influence (p >0.05). These are reflected in the regression equation: (B variables with negative coefficients depict decreased response, while increase in response was due to positive coefficients of the variables A and C). Table 4 depicts results of fitting models for DPPH radical scavenging activity. F-test and p value were used to assess the model significance. The p value was 0.0883, which suggests adequacy of the model for use as a predictor within the range of experimental variables. Table 5 shows the design matrix and results of ANOVA, fitness and adequacy of the models for ferulic acid content. The determination coefficient (R 2 ) obtained from variance of quadratic regression model was 0.6952. This demonstrates the inadequacy of the model for explaining total variance. In addition, the adjusted R 2 value was 0.4209 which also showed that the model lacked significance. The model was also inadequate for making predictions over the range of variables used in the experiment. The values of the regression coefficients (Table 5) indicate that C 2 was significantly different (p< 0.05). However, there were no significant differences between AB, AC and BC. Table 6 shows that the multiple correlation coefficient (r) and determination coefficient (R 2 ) were not satisfactory to describe p-coumaric acid. The value of R 2 from the quadratic regression model was 0.4397, suggesting that the model cannot explain the total variance. Table 7, the quadratic models lacked significance and fit (p>0.05) with respect to catechin. In addition, the regression model produced R 2 value of 0.5489. These results indicate that the model cannot explain total variance. Figure 1 shows contour plot response surfaces of TPC. A significant influence was produced on maximization of TPC extract by the two-factor interaction between temperature and solvent concentration (AB, p < 0.05). From the results, it is clear that 50-70% (v/v) ethanol and temperatures above 45 • C yielded high extracts of TPC (Figures 1A and ...
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... the interaction between solvent concentration and extraction time (AC) had significant effect (p < 0.05) on TPC extraction. Moreover, ethanol concentrations within the range 50 -70 % (v/v), and extraction times above 2.5 h resulted in higher TPC yields ( Figures 1C and 1D). However, no significant effect was produced on the extraction of TPC by the interaction between extraction temperature and extraction time (BC, p > 0.05). ...
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... four models shown in Table 2 were obtained by using DDPH radical scavenging ability, TPCs, catechin, ferulic acid, and p-coumaric acid as response variables in RSM, while the fitted TPC model parameters are presented in Table 3. Statistical significance (p< 0.05) was seen in A, B and C (lines variables), and in A 2 ,B 2 and C 2 (quadratic variables), which indicated polyphenol extractability was strongly influenced by these factors. Two of the two-variable interactions AB and AC had significant influences (p <0.05) affected extraction yield, but BC interaction did not produce any significant influence (p >0.05). These are reflected in the regression equation: (B variables with negative coefficients depict decreased response, while increase in response was due to positive coefficients of the variables A and C). Table 4 depicts results of fitting models for DPPH radical scavenging activity. F-test and p value were used to assess the model significance. The p value was 0.0883, which suggests adequacy of the model for use as a predictor within the range of experimental variables. Table 5 shows the design matrix and results of ANOVA, fitness and adequacy of the models for ferulic acid content. The determination coefficient (R 2 ) obtained from variance of quadratic regression model was 0.6952. This demonstrates the inadequacy of the model for explaining total variance. In addition, the adjusted R 2 value was 0.4209 which also showed that the model lacked significance. The model was also inadequate for making predictions over the range of variables used in the experiment. The values of the regression coefficients (Table 5) indicate that C 2 was significantly different (p< 0.05). However, there were no significant differences between AB, AC and BC. Table 6 shows that the multiple correlation coefficient (r) and determination coefficient (R 2 ) were not satisfactory to describe p-coumaric acid. The value of R 2 from the quadratic regression model was 0.4397, suggesting that the model cannot explain the total variance. Table 7, the quadratic models lacked significance and fit (p>0.05) with respect to catechin. In addition, the regression model produced R 2 value of 0.5489. These results indicate that the model cannot explain total variance. Figure 1 shows contour plot response surfaces of TPC. A significant influence was produced on maximization of TPC extract by the two-factor interaction between temperature and solvent concentration (AB, p < 0.05). From the results, it is clear that 50-70% (v/v) ethanol and temperatures above 45 • C yielded high extracts of TPC (Figures 1A and ...
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... four models shown in Table 2 were obtained by using DDPH radical scavenging ability, TPCs, catechin, ferulic acid, and p-coumaric acid as response variables in RSM, while the fitted TPC model parameters are presented in Table 3. Statistical significance (p< 0.05) was seen in A, B and C (lines variables), and in A 2 ,B 2 and C 2 (quadratic variables), which indicated polyphenol extractability was strongly influenced by these factors. Two of the two-variable interactions AB and AC had significant influences (p <0.05) affected extraction yield, but BC interaction did not produce any significant influence (p >0.05). These are reflected in the regression equation: (B variables with negative coefficients depict decreased response, while increase in response was due to positive coefficients of the variables A and C). Table 4 depicts results of fitting models for DPPH radical scavenging activity. F-test and p value were used to assess the model significance. The p value was 0.0883, which suggests adequacy of the model for use as a predictor within the range of experimental variables. Table 5 shows the design matrix and results of ANOVA, fitness and adequacy of the models for ferulic acid content. The determination coefficient (R 2 ) obtained from variance of quadratic regression model was 0.6952. This demonstrates the inadequacy of the model for explaining total variance. In addition, the adjusted R 2 value was 0.4209 which also showed that the model lacked significance. The model was also inadequate for making predictions over the range of variables used in the experiment. The values of the regression coefficients (Table 5) indicate that C 2 was significantly different (p< 0.05). However, there were no significant differences between AB, AC and BC. Table 6 shows that the multiple correlation coefficient (r) and determination coefficient (R 2 ) were not satisfactory to describe p-coumaric acid. The value of R 2 from the quadratic regression model was 0.4397, suggesting that the model cannot explain the total variance. Table 7, the quadratic models lacked significance and fit (p>0.05) with respect to catechin. In addition, the regression model produced R 2 value of 0.5489. These results indicate that the model cannot explain total variance. Figure 1 shows contour plot response surfaces of TPC. A significant influence was produced on maximization of TPC extract by the two-factor interaction between temperature and solvent concentration (AB, p < 0.05). From the results, it is clear that 50-70% (v/v) ethanol and temperatures above 45 • C yielded high extracts of TPC (Figures 1A and ...
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... the interaction between solvent concentration and extraction time (AC) had significant effect (p < 0.05) on TPC extraction. Moreover, ethanol concentrations within the range 50 -70 % (v/v), and extraction times above 2.5 h resulted in higher TPC yields ( Figures 1C and 1D). However, no significant effect was produced on the extraction of TPC by the interaction between extraction temperature and extraction time (BC, p > 0.05). ...

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... Sorghum was the sixth most produced cereal in the world in 2020, with a total production of almost 59 million tons (FAOSTAT, 2022). In semi-arid zones of Africa, South America, and Asia, sorghum is consumed as a staple food (Proietti et al., 2015;Queiroz et al., 2011), but its production is mainly intended for industrial conversion into alcohol and for animal feed (Liu et al., 2018). In some countries, such as Japan, the United States and Brazil, this grain has been studied and recommended as a good alternative for food applications. ...
... The microwave power (MP), S-S ratio, solvent concentration, and time were optimized in response to EY, extractable phenolic content (EPC), total flavonoid content (TFC) and DPPH radical scavenging activity by RSM based on a central composite design (CCD). The RSM is well established for optimizing the extraction process and CCD is the frequently used form of RSM (Liu et al., 2018). CCD is used in the elucidation of factor interactions since it is an accurate approach for process design and product development. ...
... Assessment of sorghum phenolic compounds:Total phenolic content (TPC) can be determined using Folin-Ciocalteu method(Liu et al., 2018;Devi et al., 2012;Shen et al., 2018). By Folin-Ciocalteu method,several scientists have reported varied range of total phenolic content of sorghum grains.Shen et al., 2018 reported that, the TPC showed obvious variations among different varieties ranging from 174.40 ± 4.09 to 1238.83 ± 31.67 mg GAE/100 g grain. ...
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... Therefore, it is necessary to optimize extraction conditions to obtain the highest extract yield. RSM is a mostly used statistical tool to evaluate the effects of various factors and interactions between them (Liu et al., 2018). Recently, there has been growing interest in the use of novel electrotechnologies such as the application of pulsed electric fields (PEF) or ohmic heating (OH) in order to enhance the extraction of valuable bioactive compounds from different plant materials (El Darra et al., 2013). ...
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... concentration, a similar trend to extraction yield. These observations of the various extraction concentrations were consistent with a previous study affecting the yield and phenolic compounds [22]. Moreover, these results are comparable to previous research in which sorghum bran was effective for extracting the phenolic compounds at 50% ethanolic extraction [23]. ...
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... The extraction of polyphenols from agricultural materials depends mostly on the polarity of the extraction solvent (Gunathilake et al., 2019;Haya et al., 2019). Our results are in accordance with previous studies (Turkmen et al., 2006;Vázquez et al., 2012;Ćujić Liu et al., 2018;Strati et al., 2018). ...
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... mg gallic acid equivalents/g of grain, embedded in its pericarp [5]. Sorghum grain has been proven to contain some advantageous phytochemical compounds as antioxidant include polyphenols, tannins, sterols and anthocyanins [6]. The phenolic compound is recognized for its antioxidant activity [7]. ...
... Further, an enzyme pretreatment followed by ultrasonication (XUA, CUA) enhanced the yield 2.2 fold in XUA and 1.8 fold in CUA against the conventional HR process. Results of Liu et al. (2018) also showed the efficiency of ultrasonication and enzyme treatment in effectively extracting the polyphenols from Trapa quadrispinosa (floating leaved macrophyte) three-fold than the conventional process heat extraction. ...
... The higher radical scavenging potential of enzyme treated samples may be due to the hydrolytic release of bound phenolics (Mushtaq et al. 2015). Liu et al. (2018) also observed highest antioxidant activity by T. quadrispinosa stem residues which were attributed to the polyphenols extracted efficiently by enzyme pretreated ultrasonication. A significantly high correlation (p \ 0.05) between different extracted concentrations of polyphenols and the corresponding antioxidant activity was observed (r = 0.981 for HR, 0. 986 for UA, 0.988 for XUA) in FMSC. ...
... A significantly high correlation (p \ 0.05) between different extracted concentrations of polyphenols and the corresponding antioxidant activity was observed (r = 0.981 for HR, 0. 986 for UA, 0.988 for XUA) in FMSC. Such a positive correlation was also observed by Liu et al. (2018) in sorghum polyphenols and d' Alessandro et al. (2012) in ultrasonic extracted black chokeberry polyphenols. ...
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