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Table 6 Symbolic notations used and corresponding units.

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

Growth dynamics measured by optical density
X: Growth measured as absorbance at 700 nm. Units: absorbance units (AU)
t: Time. Units: h
X m : Maximum bacterial load. Units: absorbance units (AU)
v m : Maximum growth rate. Units: AU h-1
λ Lag phase. Units: h
X m• : Maximum bacterial load affected by chemical agent. Units: absorbance units (AU)
v m• : Maximum growth rate affected by chemical agent. Units: AU h-1
λ: Lag phase affected by chemical agent. Units: h
Growth dynamics measured by viable cell counts
X: Growth as relative cell viable count or relative population size [ln (N/N0)]. Units: Dimensionless
t: Time. Units: h
X m : Maximum bacterial load. Units: Dimensionless
v m : Maximum specific growth rate. Units: h-1
λ Lag phase. Units: h
X m• : Maximum bacterial load affected by chemical agent. Units: Dimensionless
v m• : Maximum specific growth rate affected by chemical agent. Units: h-1
λ: Lag phase affected by chemical agent. Units: h
Dose effects on growth dynamic
C: Concentration of chemical agent (acid). Units: mM
K x : Maximum response affecting on X m . Dimensionless
m x : Concentration corresponding to the semi-maximum response affecting on X m . Units: mM
a x : Shape parameter affecting on X m . Dimensionless
K v : Maximum response affecting on v m . Dimensionless
m v : Concentration corresponding to the semi-maximum response affecting on v m . Units: mM
a v : Shape parameter affecting on v m . Dimensionless
K λ : Maximum response affecting on λ. Dimensionless
m λ : Concentration corresponding to the semi-maximum response affecting on λ. Units: mM
a λ : Shape parameter affecting on λ. Dimensionless