dArrhenius_model {bioinactivation}

First derivative of the Arrhenius model

Description

Calculates the first derivative of the Arrhenius model with log-linear inactivation for dynamic problems at a given time for the model parameters provided and the environmental conditions given.

Usage

dArrhenius_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

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} = - k * N

Model parameters

• temp_ref: Reference temperature for the calculation,

• k_ref: inactivation rate at the ref. temp.

• Ea: Activation energy.

See Also

predict_inactivation