1 Framework and Tools: A Framework for Modelling, Optimization and Control of Biomedical Systems

Eirini G. Velliou1, Ioana Naşcu2, Stamatina Zavitsanou3, Eleni Pefani4, Alexandra Krieger5, Michael C. Georgiadis6, and Efstratios N. Pistikopoulos7

1 Department of Chemical and Process Engineering, Faculty of Engineering and Physical Sciences, University of Surrey, UK

2 Artie McFerrin Department of Chemical Engineering, Texas A&M University, College Station, USA

3 Paulson School of Engineering & Applied Sciences, Harvard University, USA

4 Clinical Pharmacology Modelling and Simulation, GSK, UK

5 Jacobs Consultancy, Kreisfreie Stadt Aachen Area, Germany

6 Laboratory of Process Systems Engineering, School of Chemical Engineering, Aristotle University of Thesaloniki, Greece

7 Texas A&M Energy Institute, Artie McFerrin Department of Chemical Engineering, Texas A&M University, USA

1.1 Mathematical Modelling of Drug Delivery Systems

Drug delivery can be defined as the process of administering a pharmaceutical agent in the human body, including the consequent effects of this agent on the tissues and organs. Mathematical modelling of drug delivery can be divided into two different yet complementary approaches, the pharmacokinetic and pharmacodynamic approaches. Pharmacokinetics describes the effect of the drug in the body, by capturing absorption, distribution, diffusion and elimination of the drug. Pharmacodynamics describes the effects of a drug in the body, which are expressed mathematically ...

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