dBigelow_model: First Derivate of the Linear Bigelow Model

In bioinactivation: Mathematical Modelling of (Dynamic) Microbial Inactivation

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.

See Also

predict_inactivation

bioinactivation documentation built on April 11, 2025, 5:53 p.m.