| dBigelow_model {bioinactivation} | R Documentation |
First Derivate of the Linear Bigelow Model
Description
Calculates the first derivative of the linearized version of Bigelow's model for dynamic problems at a given time for the model parameters provided and the environmental conditions given.
Usage
dBigelow_model(t, x, parms, temp_profile)
Arguments
t |
numeric vector indicating the time of the experiment. |
x |
list with the value of N at t. |
parms |
parameters for the secondary model. No explicit check of their validity is performed. |
temp_profile |
a function that provides the temperature at a given time. |
Details
The model is developed from the isothermal Bigelow's model assuming during
the derivation process that D_T is time independenent.
This function is compatible with the function
predict_inactivation.
Value
The value of the first derivative of N at time t as a
list.
Model Equation
\frac{dN}{dt} = - N \frac {\mathrm{ln}(10)}{D_T(T)}
Model parameters
temp_ref: Reference temperature for the calculation,
D_R: D-value at the reference temperature,
z: z value.