Description Usage Arguments Details Value Model Equation Model Parameters Note See Also

View source: R/weibull-mafart_model.R

Calculates the first derivative of Weibull-Mafart model at a given time for the model parameters provided and the environmental conditions given.

1 | ```
dMafart_model(t, x, parms, temp_profile)
``` |

`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 (see section |

`temp_profile` |
a function that provides the temperature at a given time. |

The model is developed from the isothermal Weibull-Mafart model without
taking into
account in the derivation the time dependence of *δ_T* for
non-isothermal temperature profiles.

This function is compatible with the function
`predict_inactivation`

.

The value of the first derivative of N at time `t`

as a list.

*
dN/dt = -N * p * (1/delta)^p * t^(p-1)*

*
delta(T) = delta_ref * 10^(- (T-T_ref)/z )*

temp_ref: Reference temperature for the calculation.

delta_ref: Value of the scale factor at the reference temperature.

z: z-value.

p: shape factor of the Weibull distribution.

For t=0, dN = 0 unless n=1. Hence, a small shift needs to be introduced to t.

bioinactivation documentation built on Dec. 15, 2017, 5:04 p.m.

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