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Table 3 Parametric estimates and confidence intervals (α = 0.05) corresponding to equation (1) applied to the effect of lactic acids (two isomeric forms) on bacterial growth as optical density at 700 nm.

From: Evaluation of toxic effects of several carboxylic acids on bacterial growth by toxicodynamic modelling

  

L+Lactic acid

D-Lactic acid

Parameters

Bs

Cb

Ec

Ln

La

Cb

Ec

Ln

 

X m (AU)

7.19 ± 0.21

0.88 ± 0.02

2.80 ± 0.04

1.18 ± 0.01

0.78 ± 0.01

0.85 ± 0.02

2.82 ± 0.04

1.16 ± 0.02

growth model

v m (AU h-1)

0.47 ± 0.04

0.17 ± 0.01

0.80 ± 0.06

0.30 ± 0.01

0.11 ± 0.01

0.19 ± 0.02

0.73 ± 0.05

0.29 ± 0.02

 

λ (h)

4.48 ± 0.55

1.14 ± 0.18

0.74 ± 0.15

1.51 ± 0.15

1.09 ± 0.18

1.18 ± 0.18

0.85 ± 0.15

1.35 ± 0.12

 

K x

0.88 ± 0.24

0.81 ± 0.20

1.00 ± 0.04

0.72 ± 0.14

0.94 ± 0.05

0.98 ± 0.29

1.00 ± 0.05

0.94 ± 0.22

effect on X m

m x (mM)

44.48 ± 19.79

20.17 ± 7.08

63.17 ± 12.47

31.22 ± 7.96

4.58 ± 4.15

23.22 ± 11.20

69.28 ± 6.28

40.25 ± 13.34

 

a x

32.00 ± 25.73

1.15 ± 0.22

3.00 ± 0.73

1.38 ± 0.16

5.82 ± 5.01

0.88 ± 0.19

1.70 ± 0.28

1.21 ± 0.19

 

K v

NS

1.00 ± 0.03

1.00 ± 0.04

1.00 ± 0.02

1.00 ± 0.01

1.00 ± 0.03

0.82 ± 0.07

0.99 ± 0.02

effect on v m

m v (mM)

NS

17.18 ± 2.95

51.07 ± 21.89

29.23 ± 3.88

5.00 ± 0.70

15.80 ± 2.48

36.47 ± 5.80

25.14 ± 2.54

 

a v

NS

1.04 ± 0.19

4.00 ± 4.21

1.50 ± 0.35

2.02 ± 0.71

1.31 ± 0.24

1.91 ± 1.53

1.42 ± 0.19

 

K λ

NS

11.89 ± 11.70

2.52 ± 1.15

NS

NS

NS

0.88 ± 0.85

NS

effect on λ

m λ (mM)

NS

50.80 ± 20.16

18.98 ± 4.86

NS

NS

NS

19.09 ± 11.30

NS

 

a λ

NS

4.58 ± 3.62

2.82 ± 1.47

NS

NS

NS

3.25 ± 3.40

NS

 

p-value

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

< 0.001

 

Bf

1.12

1.15

1.00

1.07

0.88

1.09

1.10

1.10

 

Af

1.32

1.16

1.09

1.12

1.18

1.26

1.15

1.14

 

R2adj

0.954

0.993

0.991

0.996

0.995

0.989

0.992

0.994

  1. NS: non significant. R2adj: adjusted coefficient of multiple determination. p-value from Fisher's F test (α = 0.05). B f and A f are the bias and accuracy factor, respectively. Keys for parameter and bacteria details are described in Tables 6 and 7, respectively.