Modeling the Combined Effects of Temperature, pH, and Sodium Chloride and Sodium Lactate Concentrations on the Growth Rate of Lactobacillus plantarum ATCC 8014
Table 2
Observed (Obs) and predicted growth rate (, ) by response surface model (RSM) of for mathematical validation.
(°C)
pH
NaCl (%)
Na-lactate (%)
μ (h−1)
Obs
RSM
6.0
0
1
0.0689
0.0918
7.0
0
1
0.0785
0.0963
6.5
0
3
0.0637
0.0476
6.5
1.0
2
0.0660
0.0711
6.5
2.0
1
0.0703
0.0715
6.5
2.0
4
0.0281
0.0366
6.0
3.0
0
0.0700
0.0696
7.0
3.0
0
0.0646
0.0742
6.0
3.0
4
0.0271
0.0232
7.0
3.0
4
0.0237
0.0278
6.5
4.0
1
0.0552
0.0492
6.5
4.0
3
0.0282
0.0260
6.5
5.0
2
0.0326
0.0263
6.0
6.0
0
0.0364
0.0359
7.0
6.0
0
0.0284
0.0405
7.0
0
0
0.0563
0.0744
7.0
0
4
0.0499
0.0432
6.5
0.5
3
0.0499
0.0448
6.5
2.5
2
0.0484
0.0373
6.5
3.0
0
0.0515
0.0490
6.5
3.0
4
0.0147
0.0178
6.5
3.5
2
0.0396
0.0296
7.0
6.0
0
0.0248
0.0283
7.0
0
0
0.0222
0.0409
7.0
0
4
0.0196
0.0249
6.0
1.0
1
0.0226
0.0281
7.0
1.0
1
0.0211
0.0327
6.0
2.0
3
0.0176
0.0160
7.0
2.0
3
0.0091
0.0206
7.0
3.0
2
0.0127
0.0205
6.5
4.0
0
0.0173
0.0220
6.5
4.0
1
0.0202
0.0181
7.0
0
0
0.0031
0.0074
7.0
0
4
0.0040
0.0066
6.5
0.5
3
0.0046
0.0042
6.5
2.5
2
0.0038
0.0032
6.5
3.0
0
0.0033
0.0033
6.5
3.5
2
0.0024
0.0026
6.5
3.0
4
0
0.0025
7.0
0
0
0
0
6.0
0
1
0
0
7.0
0
1
0
0
6.5
0
3
0
0
7.0
1.0
0
0
0
6.5
1.0
2
0
0
6.0
1.0
4
0
0
6.5
2.0
1
0
0
6.5
2.0
4
0
0
6.0
3.0
0
0
0
7.0
3.0
0
0
0
6.5
4.0
1
0
0
6.5
5.0
2
0
0
6.0
6.0
0
0
0
7.0
6.0
0
0
0
0.0080
1.0863
1.1808
Average observed in quadruplicate; RMSE: root mean square error; : bias factor; : accuracy factor.
