In Vitro and In Vivo Correlation Plus Module Equations

This section details the equations that define and support a Level A IVIVC, which is a specific category of IVIVC that you can carry out in the optional Drug-Drug Interaction (DDI) module. See:
For details about the internal standards that were used to define the equations in this section, see Equation Standards.
Level A IVIVC Deconvolution Equations
Equation 5-1: Wagner-Nelson deconvolution method, 1-compartment PK model
where:
Variable | Definition |
We don't have a way to export this macro. | The amount (mass) of the drug at time t. |
We don't have a way to export this macro. | The volume of distribution of the drug. |
We don't have a way to export this macro. | The concentration of the drug in plasma at time t. |
We don't have a way to export this macro. | The elimination rate of the drug. |
We don't have a way to export this macro. | The concentration of the drug. |
Equation 5-2: Loo-Riegelman deconvolution method, 2-compartment PK model (i)
where:
Variable | Definition |
We don't have a way to export this macro. | The amount (mass) of the drug at time T. |
We don't have a way to export this macro. | The volume of distribution of the drug. |
We don't have a way to export this macro. | The concentration of the drug in plasma at time T. |
We don't have a way to export this macro. | The elimination rate of the drug. |
We don't have a way to export this macro. | The concentration of the drug. |
We don't have a way to export this macro. | The rate constant for the transfer of the drug from compartment 1 to compartment 2. |
We don't have a way to export this macro. | The rate constant for the transfer of the drug from compartment 2 to compartment 1. |
Equation 5-3: Loo-Riegelman deconvolution method, 2-compartment PK model (ii)
where:
Variable | Definition |
We don't have a way to export this macro. | The amount (mass) of the drug at time T. |
We don't have a way to export this macro. | The volume of distribution of the drug. |
We don't have a way to export this macro. | The concentration of the drug in plasma at time T. |
We don't have a way to export this macro. | The elimination rate of the drug. |
We don't have a way to export this macro. | The concentration of the drug. |
We don't have a way to export this macro. | The rate constant for the transfer of the drug from compartment 1 to compartment 2. |
We don't have a way to export this macro. | The rate constant for the transfer of the drug from compartment 2 to compartment 1. |
We don't have a way to export this macro. | The rate constant for the transfer of the drug from compartment 1 to compartment 3. |
We don't have a way to export this macro. | The rate constant for the transfer of the drug from compartment 3 to compartment 1. |
Equation 5-4: Shifting and scaling function for the mechanistic deconvolution method
where:
Variable | Definition |
We don't have a way to export this macro. | The fraction in vivo dissolution. |
We don't have a way to export this macro. | The fraction in vitro dissolution. |
We don't have a way to export this macro. | The release scale coefficient. |
We don't have a way to export this macro. | The release shift coefficient. |
We don't have a way to export this macro. | The time scale coefficient. |
We don't have a way to export this macro. | The time shift coefficient. |