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. 2023 Aug 19;13:13545. doi: 10.1038/s41598-023-40549-z

Table 1.

Three-factors matrix used for melanin production using A. pullulans AKW, showing the actual and the predicted values of each point of Box-Behnken and ANN models.

Run Independent variable Melanin (g/L)
Actual ± SD Box-Behnken ANN
No Pattern Tyrosine (%, w/v) Sucrose (%, w/v) Time (h) Predicted Error Predicted Error
1*  −  − 0** 0.1 3 168 5.871 ± 0.490 5.695 0.176 5.857 0.014
2*  −  + 0 0.1 7 168 6.954 ± 0.426 6.983  − 0.029 6.984  − 0.030
3*  +  − 0 0.5 3 168 5.529 ± 0.152 5.501 0.029 5.494 0.035
4  +  + 0 0.5 7 168 6.783 ± 0.227 6.959  − 0.176 6.959  − 0.176
5 0 −  −  0.3 3 120 8.436 ± 0.325 8.505  − 0.069 8.375 0.061
6* 0 −  +  0.3 3 216 3. 743 ± 0.255 3.878  − 0.135 3.749  − 0.006
7* 0 +  −  0.3 7 120 8.341 ± 0.321 8.206 0.135 8.221 0.120
8 0 +  +  0.3 7 216 6.992 ± 0.673 6.923 0.069 7.074  − 0.082
9*  − 0 −  0.1 5 120 7.904 ± 0.734 8.011  − 0.107 7.967  − 0.063
10*  + 0 −  0.5 5 120 8.075 ± 0.523 8.035 0.040 8.167  − 0.092
11  − 0 +  0.1 5 216 5.149 ± 0.645 5.189  − 0.040 5.134 0.015
12  + 0 +  0.5 5 216 5.054 ± 0.747 4.947 0.107 4.955 0.099
13* 000 0.3 5 168 9.804 ± 0.850 10.184  − 0.380 10.177  − 0.373
14* 000 0.3 5 168 10.811 ± 0.539 10.184 0.627 10.177 0.634
15* 000 0.3 5 168 9.973 ± 0.412 10.184  − 0.247 10.177  − 0.240

*Ten runs were used for the training process, whereas the other 5 runs were used for the validation process.

**The pattern represents the level composition of each variable within each of the tested runs, where + is the high level, − is the low level, and 0 is the middle concentration.