Table 2: Central composite design for six independent variables and one response (ChOx concentration) with RSM and ANN predicted activity for ChOx (U/ml).

Run Order pH of Media Inoculum Age Inoculum Size Fermentation Period Temperature Shaking Speed ChOx Activity (U/ml)
Experimental Observed RSM Predicted ANN Predicted
1 7.5 48 11.25 -13.623 30 175 1.500 1.7608 1.50
2 7.5 48 11.25 72 30 175 3.890 4.0511 4.0617
3 7.5 48 11.25 72 30 175 4.040 4.0511 4.0617
4 9 66 7.5 108 20 250 3.040 2.8916 2.9653
5 6 66 15 36 20 100 2.800 2.6103 2.8000
6 9 30 15 36 20 100 2.770 2.6230 2.7701
7 6 30 15 108 40 250 1.540 1.5855 1.5399
8 9 30 15 108 40 100 2.150 2.1821 2.1500
9 7.5 48 11.25 72 30 175 4.150 4.0511 4.2117
10 6 66 15 108 20 250 1.700 1.9578 1.6999
11 7.5 48 11.25 72 53.7841 175 1.400 1.2402 1.4000
12 9 30 7.5 36 20 250 2.990 3.0401 2.9898
13 9 66 7.5 36 20 100 1.940 1.8341 1.4381
14 7.5 48 11.25 72 30 175 4.110 4.0511 4.0617
15 6 30 15 108 20 100 3.850 3.9209 3.8498
16 6 30 7.5 108 40 100 2.880 3.0573 2.8800
17 9 30 7.5 36 40 100 2.530 2.3934 2.5299
18 3.9324 48 11.25 72 30 175 1.750 1.6293 2.0265
19 9 66 7.5 36 40 250 2.910 2.7063 2.9099
20 6 30 15 36 40 100 2.240 2.3921 2.2400
21 6 30 7.5 108 20 250 3.500 3.4707 3.4999
22 7.5 90.8115 11.25 72 30 175 1.730 2.2532 1.2827
23 7.5 48 11.25 72 30 353.381 2.992 3.1280 3.0113
24 9 30 7.5 108 20 100 3.810 3.8522 3.2103
25 7.5 48 11.25 72 30 175 4.122 4.0511 4.0617
26 9 30 7.5 108 40 250 3.650 3.2969 2.9887
27 6 66 15 108 40 100 2.510 2.3804 2.5099
28 9 66 15 108 40 250 2.490 1.9286 2.4899
29 7.5 5.1885 11.25 72 30 175 3.670 3.4789 3.6699
30 7.5 48 11.25 72 30 175 4.116 4.0511 4.0617
31 6 66 7.5 36 40 100 2.500 2.6671 2.4999
32 6 30 7.5 36 40 250 2.150 1.6253 2.1499
33 6 66 7.5 36 20 250 1.790 1.6530 1.7899
34 6 66 7.5 108 40 250 1.942 2.1207 1.6703
35 7.5 48 11.25 72 6.2159 175 1.770 2.2435 1.7699
36 7.5 48 11.25 157.623 30 175 2.950 2.7959 2.950
37 9 66 15 108 20 100 1.850 1.9673 1.8501
38 9 66 15 36 20 250 2.130 1.9094 1.6292
39 11.067 48 11.25 72 30 175 0.740 1.8174 0.7400
40 7.5 48 20.1691 72 30 175 3.050 3.0884 2.6465
41 9 66 15 36 40 100 2.840 2.0986 2.8401
42 6 66 7.5 108 20 100 2.970 2.7009 2.9699
43 7.5 48 2.3309 72 30 175 3.440 4.0123 3.4400
44 7.5 48 11.25 72 30 -3.381 3.894 3.8647 3.8940
45 6 66 15 36 40 250 1.760 1.7025 1.7599
46 7.5 48 11.25 72 30 175 4.083 4.0511 4.0617
47 9 30 15 108 20 250 3.620 3.4204 3.6197
48 7.5 48 11.25 72 30 175 3.989 4.0511 4.0617
49 7.5 48 11.25 72 30 175 4.092 4.0511 4.0617
50 6 30 15 36 20 250 2.890 2.8138 2.8898
51 9 30 15 36 40 250 1.640 1.7400 1.6399
52 6 30 7.5 36 20 100 2.875 3.0498 2.8748
53 9 66 7.5 108 40 100 3.210 3.0892 3.6338