A Complete Bayesian Workflow in Pumas

In this work, we present the Bayesian workflow in the Pumas software for pharmacometrics (PMx) that’s: 1) demonstrably correct, 2) computationally efficient, and 3) user-friendly. Correctness-wise, Stan and its ecosystem of R packages arguably form the gold standard for Bayesian analysis of models that have many continuous parameters, which is the class of models commonly […]

Analysis of Laplace Approximation for Pharmaceutical Nonlinear Mixed Effects Models

Laplace approximation and its various approximations are some of the most commonly used techniques in pharmaceutical nonlinear mixed effects modelling to marginalise the the random effects. Classically, only Gaussian random effects have been used with transformations applied after the fact. In this work, the Laplace approximation framework is mathematically analysed showing the theoretical soundness of […]