Modeling PK/PD Systems with Distributed Delays

Systems with distributed delays are extensions of systems with discrete delays where a single lag time is represented by a distribution of lag times. Distributed absorption times for orally administered drugs serve as an example of a pharmacokinetic (PK) system with distributed delays. Another example is a hematopoietic cell population with distributed lifespans.

The topic of this webinar was to introduce mathematical tools to model pharmacokinetic/pharmacodynamic (PK/PD) systems with distributed delays. These models were implemented in Phoenix NLME by means of the delay() operator. A distributed delay version of the transit compartment model for oral drug absorption was provided. A distributed lifespan PD model of RBC production was also discussed.