Table 1 BOX-Behnken design for carotenoid production and validation points for the significant model
Run order | Whey (A) | Inoculum size (B) | pH (C) | Temperature (D) | Agitation speed (E) | Carotenoid Experimental value (g/L) | Carotenoid Predicted value (g/L) |
|---|---|---|---|---|---|---|---|
1 | 3 | 10 | 7 | 40 | 175 | 1.27 | 1.22 |
2 | 5 | 7.5 | 9 | 32.5 | 100 | 1.12 | 1.10 |
3 | 3 | 7.5 | 5 | 32.5 | 175 | 0.23 | 0.33 |
4 | 3 | 7.5 | 9 | 25 | 175 | 1.69 | 1.64 |
5 | 3 | 7.5 | 7 | 32.5 | 175 | 2.19 | 2.19 |
6 | 1 | 5 | 7 | 32.5 | 175 | 0.97 | 1.08 |
7 | 3 | 5 | 9 | 32.5 | 175 | 2.14 | 2.10 |
8 | 3 | 7.5 | 5 | 25 | 250 | 1.31 | 1.27 |
9 | 3 | 7.5 | 7 | 25 | 175 | 1.94 | 1.92 |
10 | 3 | 7.5 | 9 | 40 | 175 | 1.10 | 1.06 |
11 | 5 | 7.5 | 7 | 40 | 175 | 1.58 | 1.56 |
12 | 1 | 7.5 | 5 | 32.5 | 100 | 0.39 | 0.49 |
13 | 5 | 7.5 | 7 | 32.5 | 175 | 0.64 | 0.52 |
14 | 3 | 5 | 7 | 25 | 175 | 2.19 | 2.19 |
15 | 3 | 7.5 | 7 | 32.5 | 175 | 2.19 | 2.19 |
16 | 5 | 7.5 | 5 | 32.5 | 250 | 1.72 | 1.70 |
17 | 3 | 10 | 7 | 32.5 | 175 | 0.91 | 0.89 |
18 | 1 | 10 | 7 | 32.5 | 100 | 0.72 | 0.82 |
19 | 3 | 7.5 | 7 | 25 | 100 | 0.08 | 0.19 |
20 | 3 | 5 | 7 | 32.5 | 175 | 0.44 | 0.55 |
21 | 5 | 7.5 | 7 | 25 | 175 | 1.36 | 1.34 |
22 | 3 | 10 | 9 | 32.5 | 100 | 0.61 | 0.56 |
23 | 3 | 10 | 7 | 32.5 | 250 | 0.10 | 0.20 |
24 | 3 | 7.5 | 7 | 40 | 250 | 0.85 | 0.83 |
25 | 1 | 7.5 | 7 | 32.5 | 250 | 1.14 | 1.02 |
26 | 3 | 5 | 7 | 32.5 | 175 | 1.83 | 1.81 |
27 | 3 | 10 | 7 | 25 | 175 | 0.82 | 0.78 |
28 | 3 | 7.5 | 7 | 32.5 | 250 | 1.14 | 1.02 |
29 | 3 | 7.5 | 5 | 32.5 | 175 | 1.23 | 1.21 |
30 | 3 | 7.5 | 7 | 32.5 | 175 | 2.19 | 2.19 |
31 | 1 | 7.5 | 7 | 25 | 250 | 1.31 | 1.42 |
32 | 5 | 7.5 | 7 | 32.5 | 100 | 1.21 | 1.46 |
33 | 3 | 7.5 | 7 | 40 | 175 | 0.50 | 0.60 |
34 | 3 | 5 | 7 | 40 | 175 | 1.12 | 1.08 |
35 | 3 | 7.5 | 7 | 32.5 | 175 | 2.19 | 2.19 |
36 | 5 | 5 | 7 | 32.5 | 175 | 1.95 | 1.93 |
37 | 1 | 7.5 | 9 | 32.5 | 175 | 1.24 | 1.34 |
38 | 3 | 7.5 | 5 | 40 | 175 | 1.22 | 1.18 |
39 | 3 | 10 | 5 | 32.5 | 175 | 1.38 | 1.34 |
40 | 3 | 5 | 5 | 32.5 | 100 | 1.11 | 1.07 |
41 | 3 | 7.5 | 9 | 32.5 | 175 | 0.25 | 0.35 |
42 | 1 | 7.5 | 7 | 40 | 175 | 0.42 | 0.52 |
43 | 3 | 7.5 | 7 | 32.5 | 100 | 1.06 | 1.07 |
44 | 1 | 7.5 | 7 | 32.5 | 250 | 0.49 | 0.41 |
45 | 3 | 7.5 | 9 | 32.5 | 175 | 1.46 | 1.43 |
46 | 5 | 10 | 7 | 32.5 | 175 | 0.94 | 0.92 |
Validation of the BOX model for medium components to optimize total carotenoid pigment production by M. luteus. | |||||||
Production parameters (and their levels)a | Predicted value (g/L) | Observed value (g/L) | Biomass (g/L) | Productivity (gl−1h−1) | Productivity yield coefficient relative to biomass (g/g) | ||
2.19 | 2.19 | 3.4 | 0.045 | 0.644 | |||