. 2014 Oct 15;41(6):655–673. doi: 10.1007/s10928-014-9392-y

Table 1.

Model parameter ranges and fixed values

Model	Equation	Parameter( $θ$ or AUC)	Range or fixed value
1	$C = A (e^{- k_{e} t} - e^{- k_{a} t})$	$k_{a}$	$[(ln 2) / 4, 3 ln 2]$
		$k_{e}$	$[(ln 2) / 12, (ln 2) / 4]$
		$A = \frac{F D k_{a}}{V_{d} (k_{a} - k_{e})}$	20
		AUC	[56, 250]
2	$C = A (\frac{e^{- k_{e} t}}{1 - e^{- k_{e} τ}} - \frac{e^{- k_{a} t}}{1 - e^{- k_{a} τ}})$	$k_{a}$	$[(ln 2) / 4, 3 ln 2]$
		$k_{e}$	$[(ln 2) / 12, (ln 2) / 4]$
		$A = \frac{F D k_{a}}{V_{d} (k_{a} - k_{e})}$	20
		AUC	[58, 337]
3	$C = A_{1} e^{- k_{1} t} + A_{2} e^{- k_{2} t}$	$k_{1}$	$[0.5 ln 2, 6 ln 2]$
		$k_{2}$	$[(ln 2) / 4, (ln 2) / 24]$
		$α = A_{2} / A_{1}$	[0.8, 1.25]
		A ₁	10
		AUC	[50, 245]
4	$\frac{d C}{d t} = - \frac{V_{m} C}{K_{M} + C}$	$K_{M}$	[2, 20]
		$V_{m}$	[0.2, 1]
		$C_{0} = C (0)$	10
		AUC	[70, 221]
5	$\frac{d C}{d t} = - \frac{V_{m} C}{K_{M} + C} + A e^{- k_{a} t}$	$K_{M}$	[2, 5]
		$V_{m}$	[0.4, 0.7]
		$k_{a}$	$[(ln 2) / 2, ln 2]$
		$A = \frac{F D k_{a}}{V_{d}}$	5
		AUC	[52, 232]