ACoP9 2018 San Diego, CA, USA

A one day workshop on Modeling Delays in Pharmacokinetics and Pharmacodynamics will be presented by Wojciech Krzyzanski (University at Buffalo), Gilbert Koch (University of Basel, Children’s Hospital) and Johannes Schropp (University of Konstanz) on Sunday 7th October 2018. The course will provide an overview of biological systems exhibiting delays, concepts of lifespan driven pharmacodynamic response, modeling of cell maturation, and nonlinear mixed effect lifespan models. Delay differential equations (DDEs) will be introduced and implemented in R. The course will consist of both lectures and hands-on computer exercises. Source codes for DDE based PK/PD models and data will be provided to the participants. Contact for more information.
To be announced.
Please register at the ACoP9 website.
Registration fee:

$175 Students

$350 Academia/Government

$700 Regular fee


Wojciech Krzyzanski, PhD, MA. Associate Professor at Department of Pharmaceutical Sciences,
University at Buffalo. Holds PhD in applied mathematics and MA in pharmacology. Research focus
on pharmacokinetics and pharmacodynamics of hematopoietic growth factors and pharmacometrics.

Gilbert Koch, PhD. Gilbert Koch holds a PhD in applied mathematics. He worked as Postdoctoral Associate at the Department of Pharmaceutical Sciences, University at Buffalo and recently joined the Pediatric Pharmacology Group at the University Children´s Hospital in Basel as Senior Research Fellow. His research focus is on delay/lifespan modeling, anti-cancer effects in combination therapy, modeling in pediatric drug development and rare diseases, and target mediated drug disposition with drug-drug interaction.
Johannes Schropp, PhD. Professor at Department of Mathematics and Statistics, University of Konstanz. Research focus on PK/PD modeling and numerics of dynamical systems.


8:00 am - 8:10 am



8:10 am - 8:50 am


Biological systems exhibiting delays

  • Hematopoietic cascade
  • Immune system response
  • Apoptotic cancer cells

8:50 am - 9:20 am


Concept of lifespan driven pharmacodynamic response

  • Lifespan controlled cell loss
  • Point distributed lifespans
  • Lifespan PD models with delays

9:20 am - 10:00 am


Introduction to delay differential equations in PK/PD

  • Overview of DDE systems
  • Categories of DDE models

10:00 am - 10:20 am

Coffee break

10:20 am - 11:10 am


Hands-on I

  • Introduction to R for simulation of PK/PD models
  • Implementation of DDEs in R
  • Estimation of parameters in PK/PD models with delays

11:10 am - 11:50 am


Basic lifespan based indirect response models

  • Drug effect on response production
  • Drug effect on lifespan distribution

11:50 am - 1:00 pm

Lunch break

1:00 pm - 1:50 pm



Hands-on II

  • Coding basic lifespan indirect model III
  • Simulation of responses for varying dose and TR
  • Estimation of parameters for escalating single dose data

1:50 pm - 2:20 pm


Transit compartment models

  • Transit compartment model properties
  • Signal transduction
  • Cell maturation and senescence

2:20 pm - 3:10 pm


Hands-on III

  • Rheumatoid arthritis model

3:10 pm - 3:30 pm


Coffee break


3:30 pm - 4:10 pm


Lifespan models of hematopoietic systems

  • PD models of rHuEPO, PegTPO
  • Hematological toxicities and rHu-G-CSF

4:10 pm - 5:00 pm



Hands-on IV

  • Population model of rHuEPO effect on hemoglobin
  • Simulation of hemoglobin repsonse in individual patients
  • Assessment of hemoglobin between subject variability

5:00 pm - 5:05 pm


Final comments and remarks