| Literature DB >> 25473520 |
Miyoung Yoo1, Sanghee Lee1, Sunyoung Kim1, Dongbin Shin1.
Abstract
The optimum conditions for the formation of E- and Z-ajoene from garlic juice mixed with soybean oil were determined using response surface methodology. A central composite design was used to investigate the effects of three independent variables temperature (°C, X 1), reaction time (hours, X 2), and oil volume (multiplied by weight, X 3). The dependent variables were Z-ajoene (Y 1) and E-ajoene (Y 2) in oil-macerated garlic. The optimal conditions for E- and Z-ajoene using ridge analysis were 98.80°C, 6.87 h, and weight multiplied by weight 2.57, and 42.24°C, 9.71 h, and weight multiplied by weight 3.08, respectively. These conditions resulted in E- and Z-ajoene compound predicted values of 234.17 and 752.62 μg/g from garlic juice, respectively. The experimental values of E- and Z-ajoene were 222.75 and 833.59 μg/g, respectively. The estimated maximum values at the predicted optimum conditions were in good agreement with experimental values.Entities:
Keywords: Ajoene; High-performance liquid chromatography; oil-macerated garlic; response surface methodology
Year: 2014 PMID: 25473520 PMCID: PMC4237492 DOI: 10.1002/fsn3.148
Source DB: PubMed Journal: Food Sci Nutr ISSN: 2048-7177 Impact factor: 2.863
Uncoded and coded independent variables used in RSM.
| Code variable levels | ||||||
|---|---|---|---|---|---|---|
| Symbol | Independent variables | −2 | −1 | 0 | 1 | 2 |
| Temperature (°C) | 20 | 40 | 60 | 80 | 100 | |
| Time (hours) | 2 | 4 | 6 | 8 | 10 | |
| Oil volume (multiplied by weight) | 1 | 2 | 3 | 4 | 5 | |
Response surface design and experimental data.
| Code level of variables | Response | ||||
|---|---|---|---|---|---|
| Run no. | |||||
| 1 | 40 (−1) | 4 (−1) | 2 (−1) | 537.70 | 25.89 |
| 2 | 40 (−1) | 4 (−1) | 4 (1) | 488.75 | 23.08 |
| 3 | 40 (−1) | 8 (1) | 2 (−1) | 633.34 | 32.70 |
| 4 | 40 (−1) | 8 (1) | 4 (1) | 510.65 | 28.82 |
| 5 | 80 (1) | 4 (−1) | 2 (−1) | 515.23 | 222.74 |
| 6 | 80 (1) | 4 (−1) | 4 (1) | 418.17 | 209.76 |
| 7 | 80 (1) | 8 (1) | 2 (−1) | 284.98 | 256.42 |
| 8 | 80 (1) | 8 (1) | 4 (1) | 243.54 | 213.08 |
| 9 | 60 (0) | 6 (0) | 3 (0) | 568.27 | 82.99 |
| 10 | 60 (0) | 6 (0) | 3 (0) | 599.57 | 85.42 |
| 11 | 60 (0) | 6 (0) | 3 (0) | 584.30 | 84.99 |
| 12 | 100 (2) | 6 (0) | 3 (0) | 35.48 | 123.78 |
| 13 | 20 (−2) | 6 (0) | 3 (0) | 323.72 | 15.13 |
| 14 | 60 (0) | 10 (2) | 3 (0) | 720.79 | 87.05 |
| 15 | 60 (0) | 2 (−2) | 3 (0) | 644.90 | 37.17 |
| 16 | 60 (0) | 6 (0) | 5 (2) | 507.80 | 46.08 |
| 17 | 60 (0) | 6 (0) | 1 (−2) | 162.62 | 58.29 |
X1 is temperature (°C); X2 is time (hours); X3 is oil volume (multiplied by weight).
Y1 is Z-ajoene content; Y2 is E-ajoene content (μg/g of garlic juice).
Polynomial equation calculated by response surface methodology.
| Response | Polynomial equation | ||
|---|---|---|---|
| 0.86 | 0.0258 | ||
| 0.65 | 0.3194 |
Y1 is Z-ajoene content; Y2 is E-ajoene content (μg/g of garlic juice).
ANOVA parameter for dependent variables.
| Responses | Regression | df | SS | |||
|---|---|---|---|---|---|---|
| Linear | 3 | 113,385 | 0.20 | 3.37 | 0.0843 | |
| Quadratic | 3 | 333,760 | 0.60 | 9.91 | 0.0065 | |
| Cross product | 3 | 34,294 | 0.06 | 1.02 | 0.4402 | |
| Total model | 9 | 481,439 | 0.86 | 4.76 | 0.0258 | |
| Linear | 3 | 65,475 | 0.64 | 4.27 | 0.0519 | |
| Quadratic | 3 | 636.80 | 0.01 | 0.04 | 0.9877 | |
| Cross product | 3 | 505.99 | 0.00 | 0.03 | 0.9912 | |
| Total model | 9 | 66,618 | 0.65 | 1.45 | 0.3194 |
df, degrees of freedom; ss, sum of squares.
Y1 is Z-ajoene content; Y2 is E-ajoene content (μg/g of garlic juice).
ANOVA for the response surface model for ajoene formation.
| Responses | Source | df | SS | MS | ||
|---|---|---|---|---|---|---|
| Lack of fit | 5 | 78,106 | 15,621 | 63.77 | 0.0155 | |
| Pure error | 2 | 489.94 | 244.97 | |||
| Total error | 7 | 78,596 | 11,228.00 | |||
| Lack of fit | 3 | 35,745 | 7148.91 | 4241.31 | 0.0002 | |
| Pure error | 3 | 3.37 | 1.69 | |||
| Total error | 3 | 35,748.00 | 5106.84 |
df, degrees of freedom; ss, sum of squares; MS, mean square.
Y1 is Z-ajoene content; Y2 is E-ajoene content (μg/g of garlic juice).
ANOVA of the factor obtained from ridge analysis of the response surface for ajoene formation.
| Analysis of variance | Critical values | ||||||
|---|---|---|---|---|---|---|---|
| Response | df | SS | MS | Coded | Uncoded | ||
| Temperature ( | 4 | 334,003 | 83,501 | 7.44 | 0.0116 | −0.1590 | 53.6390 |
| Time ( | 4 | 47,482 | 11,871 | 1.06 | 0.4434 | −0.1184 | 5.5263 |
| Oil volume ( | 4 | 83,269 | 20,817 | 1.85 | 0.2234 | 0.09292 | 3.1858 |
| Temperature ( | 4 | 64,013 | 16003 | 3.13 | 0.0894 | −5.4673 | −158.6978 |
| Time ( | 4 | 1766.17 | 441.54 | 0.09 | 0.9839 | −5.0474 | −14.1897 |
| Oil volume ( | 4 | 1491.46 | 372.87 | 0.07 | 0.9882 | 4.6509 | 12.3019 |
df, degrees of freedom; ss, sum of squares; MS, mean square.
Critical values obtained from ridge analysis.
Figure 1Response surface plot for optimization of Z-ajoene formation from oil-macerated garlic. X1 (time, hours), X2 (temperature, °C) and X3 (oil volume, multiplied by weight). Y1 (Z-ajoene content of μg/g of garlic juice). The interaction between (A) temperature and time, (B) temperature and oil volume, (C) time and oil volume.
Figure 2Response surface plot for optimization of E-ajoene formation from oil-macerated garlic. X1 (time, hours), X2 (temperature, °C), and X3 (oil volume, multiplied by weight). Y2 (E-ajoene content of μg/g of garlic juice). The interaction between (A) temperature and time, (B) temperature and oil volume, (C) time and oil volume.
Predicted and experimental values under optimum conditions based on combination of responses.
| Independent variables | ||||||
|---|---|---|---|---|---|---|
| Responses | Stationary point | Predicted value | Experimental value | |||
| 45.25 | 9.71 | 3.08 | Saddle | 752.62 | 833.59 ± 59.1 | |
| 98.08 | 6.87 | 2.57 | Saddle | 234.17 | 225.75 ± 9.7 | |
Y1 is Z-ajoene content; Y2 is E-ajoene content (μg/g of garlic juice).
X1 is temperature (°C); X2 is Time (hours); X3 is oil volume (multiplied by weight).
Predicted using ridge analysis of response surface quadratic model.
Mean ± standard deviation of triplicate determination.