Table 1

Symbolic notations used and corresponding units


Weibull equation (original and reparameterized forms)


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

vx:

Biomass production rate. Dimensions: mg l-1 h-1

Xm:

Maximum biomass. Dimensions: mg/l

r0:

Specific maximum rate without effector action. Dimensions: h-1

r:

Specific maximum rate with effector action. Dimensions: h-1

Q0:

Initial effector concentration. Dimensions: mg/l

QH:

Concentration of effector retained by dead biomass (XH). Dimensions: mg/l

qH:

First order kinetic constant. Dimensionless

vQ:

Rate of available effect dynamic. Dimensions: mg l-1 h-1

QS:

Concentration of effector metabolically deactivated by living biomass (XS). Dimensions: mg/l

qS:

Second order kinetic constant. Dimensions: l mg-1 h-1

D*:

Dose:Biomass ratio. Dimensionless


Subscript meaning


H:

Death

S:

Survival

m:

Maximum


Murado and Vázquez BMC Microbiology 2010 10:220   doi:10.1186/1471-2180-10-220

Open Data