Table 2.
Run | Process Variables * | Response Variables ** | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
Experimental Values | Predicted Values | |||||||||
A | B | C | D | R1 | R2 | R3 | R1’ | R2’ | R3’ | |
1 | 1.5 | −15 | 14.3 | 200 | 40.44 | 10.47 | 11.04 | 33.77 | 13.77 | 14.00 |
2 | 4.5 | −15 | 14.3 | 200 | 12.64 | 28.41 | 44.38 | 12.23 | 28.09 | 45.89 |
3 | 1.5 | 15 | 14.3 | 200 | 48.71 | 9.22 | 9.52 | 40.35 | 9.52 | 10.23 |
4 | 4.5 | 15 | 14.3 | 200 | 17.45 | 25.09 | 32.69 | 18.82 | 23.85 | 26.94 |
5 | 1.5 | −15 | 36.8 | 200 | 36.25 | 10.46 | 11.13 | 29.02 | 13.22 | 15.24 |
6 | 4.5 | −15 | 36.8 | 200 | 10.44 | 24.42 | 55.91 | 21.55 | 27.55 | 47.14 |
7 | 1.5 | 15 | 36.8 | 200 | 4.22 | 7.96 | 8.18 | 20.22 | 8.98 | 11.47 |
8 | 4.5 | 15 | 36.8 | 200 | 18.12 | 24.87 | 30.47 | 12.76 | 23.30 | 28.18 |
9 | 1.5 | −15 | 14.3 | 600 | 41.74 | 10.23 | 10.89 | 44.89 | 14.52 | 14.71 |
10 | 4.5 | −15 | 14.3 | 600 | 12.77 | 30.20 | 46.43 | 12.14 | 28.84 | 46.61 |
11 | 1.5 | 15 | 14.3 | 600 | 78.45 | 9.02 | 9.41 | 68.43 | 10.27 | 10.94 |
12 | 4.5 | 15 | 14.3 | 600 | 16.11 | 25.16 | 34.34 | 21.40 | 24.60 | 27.65 |
13 | 1.5 | −15 | 36.8 | 600 | 45.49 | 9.91 | 10.06 | 40.14 | 13.97 | 15.96 |
14 | 4.5 | −15 | 36.8 | 600 | 9.86 | 27.56 | 48.55 | 7.17 | 28.30 | 47.85 |
15 | 1.5 | 15 | 36.8 | 600 | 58.94 | 7.84 | 7.91 | 48.30 | 9.73 | 12.18 |
16 | 4.5 | 15 | 36.8 | 600 | 12.64 | 23.05 | 28.93 | 15.33 | 24.05 | 28.89 |
17 | 0 | 0 | 25.5 | 400 | 57.38 | 6.33 | 6.39 | 67.84 | -0.77 | 0.94 |
18 | 6 | 0 | 25.5 | 400 | 15.86 | 25.45 | 30.43 | 13.34 | 27.88 | 49.55 |
19 | 3 | −30 | 25.5 | 400 | 12.21 | 29.26 | 44.37 | 19.61 | 24.94 | 36.61 |
20 | 3 | 30 | 25.5 | 400 | 33.82 | 13.52 | 14.65 | 34.36 | 16.45 | 13.88 |
21 | 3 | 0 | 3.05 | 400 | 12.71 | 20.41 | 22.67 | 25.65 | 21.24 | 24.00 |
22 | 3 | 0 | 48.0 | 400 | 16.31 | 23.01 | 28.93 | 14.83 | 20.15 | 26.49 |
23 | 3 | 0 | 25.5 | 0 | 19.11 | 22.62 | 25.72 | 13.39 | 19.95 | 24.53 |
24 | 3 | 0 | 25.5 | 800 | 16.47 | 26.07 | 33.39 | 27.09 | 21.44 | 25.95 |
25 | 3 | 0 | 25.5 | 400 | 20.77 | 22.43 | 25.82 | 20.24 | 20.69 | 25.24 |
26 | 3 | 0 | 25.5 | 400 | 20.74 | 21.40 | 25.20 | 20.24 | 20.69 | 25.24 |
27 | 3 | 0 | 25.5 | 400 | 17.20 | 24.00 | 29.15 | 20.24 | 20.69 | 25.24 |
28 | 3 | 0 | 25.5 | 400 | 22.74 | 18.23 | 20.23 | 20.24 | 20.69 | 25.24 |
Equations | R2 Adjusted | |||||||||
Total FA yield = 57.60 − 19.47A + 0.26B − 0.87C + 0.08D + 2.26AA+ 0.01BB + 0.21AC − 0.02AD − 0.02BC + 0.001BD | 0.72(1) | |||||||||
EPA = −0.90 + 9.53A − 0.14B − 0.79AA | 0.84(2) | |||||||||
DHA = −1.19 + 8.10A + 0.17B − 0.19AB | 0.81(3) | |||||||||
EPA+DHA = 3.52 + 12.88A − 0.52B | 0.80(4) |
1 Central composite design: 24 + star, which studies the effects of 4 factors in 28 runs based on the RSM. * Independent variables: A (urea/FA content ratio, w/w), B (crystallization temperature, °C), C (crystallization time, h), and D (stirring speed, rpm).** Response variables: R1 (total FA yield, g FA in the non-urea complexing fraction/100 g initial saponified oil FA), R2 (EPA content, g/100 g total FA), and R3 (DHA content, g/100 g total FA). Predicted response variables: R1’, R2’, and R3’.