Pharmacometrics /Mathematical Modelling in Pharmacokinetics & Drug Effect

Pharmacometrics is the study of the drug-organism interaction, in particular the investigation of absorption, distribution, metabolism, excretion and toxicological (ADMETox) processes, and its connection to drug effect. In the past decade, considerable progress has been made with the use of computational approaches, in particular in the early stage of the drug discovery process. As a result, modelling and simulation is now possible prior to any in vivo experiments.



The aim of  this project is to develop coupled models of drug pharmacokinetics and cellular response to study the overall drug effect. Current areas of interest include understanding drug resistance and optimizing drug therapy in HIV / AIDS , and targeting receptor signalling systems in cancer therapy. Moreover, we develop models to capture the effects of natural variability. The mathematical aspect include non-linear sensitivity analysis based on a recently developed adaptive semi-discretization in time of the associated PDE solved w.r.t. a time-dependend Galerkin ansatz space.



In cooperation with Computing in Technology (CiTopen new window), we developed the modular, application-specific and user-friendly virtual lab Medici-PK for modelling and simulation in pharmaco/kinetics/dynamics. We cooperate with Bayer Schering Pharmaopen new window, Boehringer Ingelheimopen new window, and Merckopen new window, the Federal Institute for Risk Assessment Berlinopen new window, the Martin-Luther-Universität Halle-Wittenberg (Prof. Charlotte Kloftopen new window, Clinical Pharmacology) and ETH Zürich (Prof. NIko Beerenwinkelopen new window).

This project is supported within the Graduate Research Training Program PharMetrXopen new window, by the Deutsche Forschungsgemeinschaft (DFG) within the Research Center MATHEONopen new window, and the International Max Planck Research School for Computational Biology and Scientific Computing IMPRS CBSCopen new window.


Using Math to optimize medication
PharMetrX PhD program
DFG Research Center MATHEON