dArrhenius_model

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.

Functions for modelling microbial inactivation under
isothermal or dynamic conditions. The calculations are based on several mathematical models broadly
used by the scientific community and industry. Functions enable to make predictions for cases where the
kinetic parameters are known. It also implements functions for parameter estimation for isothermal and
dynamic conditions. The model fitting capabilities include an Adaptive Monte Carlo method for a Bayesian
approach to parameter estimation.

Alberto Garre

bioinactivation

Mathematical Modelling of (Dynamic) Microbial Inactivation

Pablo S. Fernandez

Jose A. Egea

dArrhenius_model function

<dl><dt>t</dt>
<dd>numeric vector indicating the time of the experiment.</dd>
<dt>x</dt>
<dd>list with the value of N at t.</dd>
<dt>parms</dt>
<dd>parameters for the secondary model. No explicit check of their
validity is performed.</dd>
<dt>temp_profile</dt>
<dd>a function that provides the temperature at a given
time.</dd></dl>

Arguments

$$\frac{dN}{dt} = - k * N $$

Model Equation

<ul>
<li>temp_ref: Reference temperature for the calculation,</li>
<li>k_ref: inactivation rate at the ref. temp.</li>
<li>Ea: Activation energy.</li>
</ul>

Model parameters

First derivative of the Arrhenius model — dArrhenius_model

<dl>

<dt>t</dt>
<dd>numeric vector indicating the time of the experiment.</dd>


<dt>x</dt>
<dd>list with the value of N at t.</dd>


<dt>parms</dt>
<dd>parameters for the secondary model. No explicit check of their
validity is performed.</dd>


<dt>temp_profile</dt>
<dd>a function that provides the temperature at a given
time.</dd>

</dl>

<ul>
<li>temp_ref: Reference temperature for the calculation,</li>
<li>k_ref: inactivation rate at the ref. temp.</li>
<li>Ea: Activation energy.</li>
</ul>

dArrhenius_model: First derivative of the Arrhenius model

Description

Usage

Value

Arguments

Model Equation

Model parameters

Details

See Also