Modeling the Combined Effects of Temperature, pH, and Sodium Chloride and Sodium Lactate Concentrations on the Growth Rate of Lactobacillus plantarum ATCC 8014
Table 1
Observed (Obs) and predicted growth rate (μ, ) by response surface model (RSM) of L. plantarum for the central composite rotatable design.
(°C)
pH
NaCl (%)
Na-lactate (%)
μ (h−1)
RSM
7 (−1)
6.0 (−1)
1.5 (−1)
1 (−1)
0.0042
0.0017
13 (+1)
6.0 (−1)
1.5 (−1)
1 (−1)
0.0498
0.0505
7 (−1)
7.0 (+1)
1.5 (−1)
1 (−1)
0.0040
0.0063
13 (+1)
7.0 (+1)
1.5 (−1)
1 (−1)
0.0549
0.0551
7 (−1)
6.0 (−1)
4.5 (+1)
1 (−1)
0
0
13 (+1)
6.0 (−1)
4.5 (+1)
1 (−1)
0.0316
0.0274
7 (−1)
7.0 (+1)
4.5 (+1)
1 (−1)
0
0.0045
13 (+1)
7.0 (+1)
4.5 (+1)
1 (−1)
0.0316
0.0320
7 (−1)
6.0 (−1)
1.5 (−1)
3 (+1)
0.0037
0.0013
13 (+1)
6.0 (−1)
1.5 (−1)
3 (+1)
0.0373
0.0349
7 (−1)
7.0 (+1)
1.5 (−1)
3 (+1)
0.0025
0.0059
13 (+1)
7.0 (+1)
1.5 (−1)
3 (+1)
0.0442
0.0395
7 (−1)
6.0 (−1)
4.5 (+1)
3 (+1)
0
0
13 (+1)
6.0 (−1)
4.5 (+1)
3 (+1)
0.0139
0.0118
7 (−1)
7.0 (+1)
4.5 (+1)
3 (+1)
0
0.0041
13 (+1)
7.0 (+1)
4.5 (+1)
3 (+1)
0.0096
0.0164
4 (−2)
6.5 (0)
3.0 (0)
2 (0)
0
0
16 (+2)
6.5 (0)
3.0 (0)
2 (0)
0.0541
0.0488
10 (0)
5.5 (−2)
3.0 (0)
2 (0)
0.0079
0.0136
10 (0)
7.5 (+2)
3.0 (0)
2 (0)
0.0323
0.0228
10 (0)
6.5 (0)
0 (−2)
2 (0)
0.0210
0.0306
10 (0)
6.5 (0)
6.0 (+2)
2 (0)
0.0033
0.0057
10 (0)
6.5 (0)
3.0 (0)
0 (−2)
0.0202
0.0262
10 (0)
6.5 (0)
3.0 (0)
4 (+2)
0.0047
0.0102
10 (0)
6.5 (0)
3.0 (0)
2 (0)
0.0207
0.0182
10 (0)
6.5 (0)
3.0 (0)
2 (0)
0.0209
0.0182
0.0084
1.0518
1.3690
Real values (coded values) for all variables; average observed in quadruplicate; RMSE: root mean square error; : bias factor; : accuracy factor.