dBigelow_model {bioinactivation} | R 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

*bioinactivation*version 1.2.3 Index]