Impact of mathematical pharmacology on practice and theory: four case studies

Abstract

Drug-discovery has become a complex discipline in which the amount of knowledge about human biology, physiology, and biochemistry have increased. In order to harness this complex body of knowledge mathematics can play a critical role, and has actually already been doing so. We demonstrate through four case studies, taken from previously published data and analyses, what we can gain from mathematical/analytical techniques when nonlinear concentration-time courses have to be transformed into their equilibrium concentration-response (target or complex) relationships and new structures of drug potency have to be deciphered; when pattern recognition needs to be carried out for an unconventional response-time dataset; when what-if? predictions beyond the observational concentration-time range need to be made; or when the behaviour of a semi-mechanistic model needs to be elucidated or challenged. These four examples are typical situations when standard approaches known to the general community of pharmacokineticists prove to be inadequate.

Keywords

Receptors; Drug-disposition; Dose-responsetime analysis; Michaelis-menten; Quasi-steady-state; Singular perturbations

Published in

Journal of Pharmacokinetics and Pharmacodynamics
2018, Volume: 45, number: 1, pages: 3-21
Publisher: SPRINGER/PLENUM PUBLISHERS

SLU Authors

• Gabrielsson, Johan

  • Department of Animal Biosciences, Swedish University of Agricultural Sciences
    

UKÄ Subject classification

Pharmaceutical Sciences


Publication identifier

DOI: https://doi.org/10.1007/s10928-017-9539-8

Permanent link to this page (URI)

https://res.slu.se/id/publ/94507