Parameter list
Basic parameters
:Cmax
Maximum concentration from dose time to dose time + tau (if tau > 0). Firs observation used.
:Tmax
Time at maximum concentration from dose time to dose time + tau (if tau > 0). Firs observation used.
:Cdose
By default dose time is 0. If concentration at dose time present in observation list - this concentration will be used. For extravascular setting (:ev) if τ used (τ > 0) Cdose set as minimum concentration from dose time to τ time :Ctaumin, else set equal to zero. For IV (:iv) if 1-st observation > 2-nd observation > 0 then logarithmic extrapolation used, else set equal to 1-st observation.
AUC / AUMC
Area under Curve / Area under the Moment Curve.
\[AUC = \sum_{n=1}^N AUC_{n}\]
\[AUMC = \sum_{n=1}^N AUMC_{n}\]
Where AUCn/AUMCn- partial AUC/AUMC.
Linear trapezoidal rule
\[AUC\mid_{t_1}^{t_2} = \delta t \times \frac{C_1 + C_2}{2}\]
\[AUMC\mid_{t_1}^{t_2} = \delta t \times \frac{t_1 \times C_1 + t_2 \times C_2}{2}\]
Logarithmic trapezoidal rule
\[AUC\mid_{t_1}^{t_2} = \delta t \times \frac{ C_2 - C_1}{ln(C_2/C_1)}\]
\[AUMC\mid_{t_1}^{t_2} = \delta t \times \frac{t_2 \times C_2 - t_1 \times C_1}{ln(C_2/C_1)} - \delta t^2 \times \frac{ C_2 - C_1}{ln(C_2/C_1)^2}\]
Interpolation
Linear interpolation rule
\[C_x = C_1 + \frac{(t_x-t_1)\times(C_2 - C_1)}{t_2 - t_1}\]
Logarithmic interpolation rule
\[C_x = exp\left(ln(C_1) + \frac{(t_x-t_1)\times(ln(C_2) - ln(C_1))}{t_2 - t_1}\right)\]
:AUClast
Area under the curve from dose time to last observed concentration (>0).
:AUMClast
Area under the Moment Curve from dose time to last observed concentration (>0). Dose time is the starting point for this calculation.
:AUCall
All values used to calculate AUC.
:Kel
𝝺z - elimination constant. Linear regression at the terminal phase used for logarithmic transformed concentration data.
:HL
Half-Life; T1/2
\[HL = ln(2) / \lambda_z\]
:Rsq
Coefficient of determination (R²).
:ARsq
Adjusted coefficient of determination (R²).
:NpLZ
Number of points for elimination calculation.
:MRTlast
Mean residence time (MRT) from the dose time to the time of the last observed concentration.
\[MRT_{last} = AUMC_{last} / AUC_{last}\]
If :Kel calculated
:AUCinf
AUC extrapolated from the last observed concentration to infinity.
\[AUC_\infty = AUC_{last} + \frac{C_{last}}{\lambda_z}\]
:AUMCinf
AUMC extrapolated from the last observed concentration to infinity.
\[AUMC_\infty = AUMC_{last} + \frac{t_{last}\times C_{last}}{\lambda_z} + \frac{C_{last}}{\lambda_z^2}\]
:AUCpct
Percentage of AUCinf due to extrapolation from the last observed concentration to infinity.
\[AUCpct = (AUC_\infty - AUC_{last}) / AUC_\infty * 100 \%\]
:AUCinf_pred
AUC extrapolated to infinity from the predicted concentration.
\[AUC_{\infty pred} = AUC_{last} + \frac{C_{last pred}}{\lambda_z}\]
If Dose used
Clearance
:Cllast
\[CL_{last} = Dose / AUC_{last}\]
:Clinf
Total body clearance for extravascular administration.
\[CL_\infty = Dose / AUC_\infty\]
:Vzinf
Volume of distribution based on the terminal phase.
Steady-state parameters (If τ used)
τ-time = dose_time + τ
:AUCtau
Area under the curve from dose time to τ-time.
:AUMCtau
Area under the Moment Curve from the dose time to τ-time.
:Ctau
Concentration at τ-time.
:Ctaumin
Minimum concentration from the dose time to τ-time.
:Cavg
\[C_{avg} = AUC_\tau / \tau\]
:Fluc
Fluctuation
\[Fluc = ( C_{max} - C_{\tau min} ) / C_{avg} * 100 \%\]
:Fluctau
Fluctuation Tau
\[Fluc\tau = ( C_{max} - C_{\tau} ) / C_{avg} * 100 \%\]
:Accind
Accumulation index.
\[Accind = \frac{1}{1 - exp(-\lambda_z \tau)}\]
:MRTtauinf
\[MRT_{\tau\inf} = (AUMC_\tau + \tau * (AUC_\infty - AUC_\tau)) / AUC_\tau\]
:Swing
\[Swing = (C_{max} - C_{\tau min}) / C_{\tau min}\]
:Swingtau
\[Swing_{\tau} = (C_{max} - C_{\tau}) / C_{\tau}\]