dArrhenius_model: First derivative of the Arrhenius model

In albgarre/bioinactivation: Mathematical Modelling of (Dynamic) Microbial Inactivation

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

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

albgarre/bioinactivation documentation built on Nov. 27, 2022, 9:19 a.m.