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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.