We conduct simulation studies to estimate population distribution of model
parameters on a PBPK model using a fully parametric method and a
semiparametric method. We implement a Monte Carlo Markov Chain simulation
technique in the parametric method, and an approach to estimate the
probability density function directly in the semi-parametric method. The
simulation result shows the advantage of the parametric method when the
underlying model can capture the true population distribution. However, a
semiparametric method is a more cautious and hence safer way to assess the
distribution when one does not have enough knowledge to assume a population
distribution form.