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 is to introduce mathematical tools to model pharmacokinetic/pharmacodynamic (PK/PD) systems with distributed delays. These models will be implemented in Phoenix NLME by means of the delay() operator. A distributed delay version of the transit compartment model for oral drug absorption will be provided. A distributed lifespan PD model of RBC production will be also discussed.
About Our Speaker
Dr. Wojciech Krzyzanski is an Associate Professor of Pharmaceutical Sciences at the University at Buffalo, State University of New York (UB). Dr. Krzyzanski holds a PhD in applied mathematics and a MA in pharmacology. His PK/PD modeling interests and capabilities include the modeling of pharmacokinetics and pharmacodynamics of hematopoietic growth factors, the model-based development of optimal dosing regimens for chemotherapy induced cytotoxicities, particularly myelosuppression, the pharmacometric analysis of properties of various types of indirect response models, and the evolution of target-mediated PK/PD models.