Table 1 Mutual information between environmental and dominant variables

Dissolved oxygen concentration \(\left(DO\right)\)

1.16

1.23

1.11

1.09

Exhaust \({CO}_{2}\) concentration \({\eta }_{{CO}_{2}}\)

1.05

1.10

1.13

1.07

\(pH\) of fermentation broth \(\left(pH\right)\)

0.65

0.62

0.61

0.59

Flow acceleration rate of inorganic salts \(\left({f}_{b}\right)\)

0.73

0.72

0.69

0.71

Pressure in the fermenter \(\left(P\right)\)

0.12

0.21

0.10

0.32

Flow of air \(\left(l\right)\)

0.21

0.36

0.35

0.32

Fermentation time \(\left(t\right)\)

1.39

1.45

1.30

1.35

Flow rate of condensate \({f}_{w}\)

0.90

0.96

1.05

0.97

Flow acceleration rate of ammonia \(\left({f}_{a}\right)\)

0.85

0.79

0.72

0.71

Flow acceleration rate of methanol \(\left({f}_{f}\right)\)

0.83

1.21

1.04

0.80

Flow acceleration rate of glucose \({f}_{c}\)

0.44

0.82

0.77

0.81

Fermentation temperature \(\left(T\right)\)

0.31

0.35

0.29

0.32

Motor stirring speed \(\left(r\right)\)

0.19

0.23

0.2

0.17

Flow acceleration rate of glycerine \(\left({f}_{e}\right)\)

0.46

0.81

0.86

0.73

Flow acceleration rate of peptones \(\left({f}_{d}\right)\)

0.28

0.35

0.41

0.39

Volume of fermentation broth \(\left(V\right)\)

0.76

0.71

0.76

0.75