TABLE 3.
Singular models describing the effect of undissociated acid on the maximum specific growth rate (h−1), fitting performance (indicated by MSE value), and optimal parameter estimates with their standard deviations when fitted to the experimental data set obtained with B. cereus F4810/72
| Model no.a | Model | Reference | No. of parameters | Acids | MSE | MSE total, 4 acids | μopt (SE) | [HA]max (SE) | a value (SE) | b value (SE) | α value (SE) | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 12 |
|
28 | 2 | HAc | 0.0732 | 0.262 | 4.00 (1.139) | 1.00 (0.021) | ||||
| HLa | 0.0657 | 2.00 (4.370) | 1.06 (0.032) | |||||||||
| HPr | 0.0579 | 2.00 (0.517) | 1.04 (0.030) | |||||||||
| HFo | 0.0652 | 0.40 (1.052) | 1.06 (0.029) | |||||||||
| 13 |
|
20 | 2 | HAc | 0.0028 | 0.1143 | 1.62 (0.005) | 8.24 (0.049) | ||||
| HLa | 0.0840 | 1.91 (0.038) | 3.89 (0.110) | |||||||||
| HPr | 0.0040 | 1.48 (0.007) | 8.89 (0.054) | |||||||||
| HFo | 0.0235 | 1.73 (0.017) | 1.02 (0.014) | |||||||||
| 14 |
|
13 | 3 | HAc | 0.0006 | 0.0310 | 1.51 (0.003) | 8.65 (0.051) | −4.93 (0.067) | |||
| HLa | 0.0058 | 1.55 (0.009) | 2.52 (0.006) | 3.56 (0.048) | ||||||||
| HPr | 0.0034 | 1.51 (0.007) | 10.17 (0.128) | −3.32 (0.091) | ||||||||
| HFo | 0.0212 | 1.59 (0.017) | 0.95 (0.015) | 19.73 (23.760) | ||||||||
| 15 |
|
22 | 3 | HAc | 0.0014 | 0.0161 | 1.48 (0.004) | 15.68 (0.693) | 4.24 (0.223) | |||
| HLa | 0.0066 | 1.56 (0.010) | 2.28 (0.007) | 0.34 (0.010) | ||||||||
| HPr | 0.0045 | 1.50 (0.008) | 2.78 × 108 (2.5 × 108) | 9.40 × 107 (2.5 × 108) | ||||||||
| HFo | 0.0036 | 1.55 (0.007) | 0.77 (0.005) | 0.87 (0.017) | ||||||||
| 16 |
|
27 | 4 | HAc | 0.0004 | 0.0119 | 1.52 (0.003) | 8.20 (0.037) | −0.70 (0.016) | 2.95 (0.112) | ||
| HLa | 0.0050 | 1.50 (0.011) | 2.53 (0.007) | −2.38 (0.405) | −5.98 (0.756) | |||||||
| HPr | 0.0030 | 1.51 (0.007) | 9.39 (0.097) | −0.70 (0.030) | 0.84 (0.084) | |||||||
| HFo | 0.0035 | 1.54 (0.008) | 0.78 (0.006) | 67.38 (12797) | 275.97 (52475) | |||||||
| 17 |
|
11 | 2 | HAc | 0.0083 | 0.0587 | 1.36 (0.006) | 6.45 (0.050) | ||||
| HLa | 0.0291 | 1.75 (0.020) | 2.99 (0.035) | |||||||||
| HPr | 0.0175 | 1.33 (0.014) | 6.46 (0.087) | |||||||||
| HFo | 0.0038 | 1.57 (0.006) | 0.81 (0.003) | |||||||||
| 18 |
|
24 | 3 | HAc | 0.0014 | 0.0132 | 1.54 (0.005) | 7.46 (0.045) | 0.61 (0.006) | |||
| HLa | 0.0050 | 1.49 (0.008) | 2.58 (0.055) | 2.54 (0.007) | ||||||||
| HPr | 0.0035 | 1.51 (0.008) | 4.59 (0.034) | 0.44 (0.007) | ||||||||
| HFo | 0.0033 | 1.53 (0.007) | 0.79 (0.004) | 1.16 (0.018) | ||||||||
| 19 |
|
2 | 2 | HAc | 0.0022 | 0.1090 | 1.52 (0.004) | 0.32 (0.002) | ||||
| HLa | 0.0803 | 1.79 (0.039) | 0.59 (0.020) | |||||||||
| HPr | 0.0046 | 1.50 (0.008) | 0.34 (0.004) | |||||||||
| HFo | 0.0219 | 1.66 (0.017) | 2.37 (0.043) | |||||||||
| 20 |
|
27 | 2 | HAc | 0.0179 | 0.2249 | 1.62 (0.015) | 1.63 (0.044) | ||||
| HLa | 0.1359 | 1.72 (0.056) | 0.99 (0.076) | |||||||||
| HPr | 0.0173 | 1.55 (0.017) | 1.20 (0.037) | |||||||||
| HFo | 0.0538 | 1.64 (0.029) | 0.22 (0.010) | |||||||||
| 21 |
|
27 | 3 | HAc | 0.0011 | 0.1226 | 1.53 (0.004) | 2.80 (0.029) | 0.03 (0.0003) | |||
| HLa | 0.0638 | 1.69 (0.036) | 3.13 (0.414) | 0.12 (0.010) | ||||||||
| HPr | 0.0071 | 1.53 (0.011) | 1.75 (0.043) | 0.01 (0.000) | ||||||||
| HFo | 0.0506 | 1.63 (0.028) | 0.24 (0.011) | 0.01 (0.002) | ||||||||
| 22 |
|
39 | 3 | HAc | 0.0003 | 0.1580 | 0.13 (3016) | 8.00 (75794) | 0.31 (0.001) | |||
| HLa | 0.0207 | 0.95 | 2.00 | 0.25 (0.011) | ||||||||
| HPr | 0.1280 | 1.48 (3.7 × 106) | 0.34 (2.0 × 107) | 0.07 (2.2 × 106) | ||||||||
| HFo | 0.0090 | 0.37 | 0.75 | 1.96 (0.028) | ||||||||
| 23 |
|
16 | 3 | HAc | 0.0019 | 0.0175 | 1.49 (0.005) | −0.50 (0.003) | 1.08 (0.010) | |||
| HLa | 0.0071 | 1.44 (0.009) | −0.32 (0.002) | 4.67 (0.127) | ||||||||
| HPr | 0.0044 | 1.51 (0.009) | −0.47 (0.005) | 0.98 (0.015) | ||||||||
| HFo | 0.0041 | 1.49 (0.007) | 0.30 (0.002) | 2.16 (0.035) |
a
Boldface indicates model selected for further analysis.