Weibull equation (original and reparameterized forms) | |
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R: | Response as inhibition of bacterial growth. Dimensionless |
D: | Dose. Dimensions: mg/l |
b: | Position parameter. Dimensions: mg/l |
a: | Shape parameter. Dimensionless |
m: | Dose for semi-maximum response (ED50). Dimensions: mg/l |
K: | Maximum inhibition response. Dimensionless |
Logistic equation and biomass dynamic | |
X: | Biomass. Dimensions: mg/l |
t: | Time. Dimensions: h |
v x : | Biomass production rate. Dimensions: mg l-1 h-1 |
X m : | Maximum biomass. Dimensions: mg/l |
r 0 : | Specific maximum rate without effector action. Dimensions: h-1 |
r: | Specific maximum rate with effector action. Dimensions: h-1 |
Q 0 : | Initial effector concentration. Dimensions: mg/l |
Q H : | Concentration of effector retained by dead biomass (X H ). Dimensions: mg/l |
q H : | First order kinetic constant. Dimensionless |
v Q : | Rate of available effect dynamic. Dimensions: mg l-1 h-1 |
Q S : | Concentration of effector metabolically deactivated by living biomass (X S ). Dimensions: mg/l |
q S : | Second order kinetic constant. Dimensions: l mg-1 h-1 |
D*: | Dose:Biomass ratio. Dimensionless |
Subscript meaning | |
H: | Death |
S: | Survival |
m: | Maximum |