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πŸŸͺ Extrapolation and Interpolation Methods ​

Various extrapolation and interpolation methods are used during the calculation of some PK parameters. The mathematical expressions for these methods are shown below.

Linear interpolation ​

If a concentration value must be interpolated between two observed concentration values using linear interpolation, the following equation will be used:

Cinterpolated=C1+|Tinterpolatedβˆ’T1T2βˆ’T1|βˆ—(C2βˆ’C1)

Logarithimic interpolation ​

If a concentration value must be interpolated between two observed concentration values using logarithmic interpolation, the following equation will be used:

Cinterpolated=e[ln(C1)+|Tinterpolatedβˆ’T1T2βˆ’T1|βˆ—[ln(C2)βˆ’ln(C1)]]

Logarithmic extrapolation for Ctau ​

If a value of Ctau is not observed in the dataset, it can be estimated by extrapolating from the last observed concentration using the following equation:

Ctau=Clastβˆ—eβˆ’kelβˆ—(TTauβˆ’Tlast)

Logarithim extrapolation for C0 ​

Backward extrapolation to estimate the concentration at time 0 is performed using the first 2 measured concentrations following dose administration. The first step is to perform a linear regression and estimating the slope (m) and intercept (b) using the following equation:

y=mβˆ—[ln(C)]+b

Then the value for C0 is calculated using the following equation:

C0=eb