dBigelow_model: First Derivate of the Linear Bigelow Model

View source: R/bigelow_model.R

dBigelow_modelR 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.

See Also

predict_inactivation


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