Estimates individual apparent volumes of distribution from observed peak concentrations.
Individual estimates are then summarized to obtain a population-level value.
For single-dose data, Vd is calculated according to the route of administration:
Bolus: \(V_d = \mathrm{Dose} / C_{\mathrm{max}}\)
Infusion: \(V_d = (\mathrm{Rate} \times t_{\mathrm{inf}}) / C_{\mathrm{max}}\)
Oral: \(V_d = (\mathrm{Dose} \times F) / C_{\mathrm{max}}\), where \(F = 1 - e^{-k_a t}\)
For multiple-dose data, observed Cmax values are adjusted to
single-dose equivalents using the accumulation ratio:
$$R_{\mathrm{ac}} = \frac{1}{1 - e^{-k_e \tau}}, \quad k_e = \ln(2)/t_{1/2}$$
Adjusted values are used to estimate Vd using the same route-specific equations.