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 […]
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Analysis of Laplace Approximation for Pharmaceutical Nonlinear Mixed Effects Models
January 10, 2021
Authors Mohamed Tarek (1,2), Christopher Rackauckas (1,3,4), Patrick K. Mognesen (1,5)), Vijay Ivaturi (1,4), Andreas Noack(1,5)
Affiliations 1. Pumas AI Inc., 2. University of New South Wales at Canberra, 3. Massachusetts Institute of Technology, 4. University of Maryland, 5. Julia Computing Inc.
Presentation type Poster
Presenters Mohamed Tarek
Attachments
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 […]