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Research article2016Peer reviewedOpen access

Dose-response-time modelling: Second-generation turnover model with integral feedback control

Andersson, Robert; Jirstrand, Mats; Peletier, Lambertus; Chappell, Michael J.; Evans, Neil D.; Gabrielsson, Johan

Abstract

This study presents a dose-response-time (DRT) analysis based on a large preclinical biomarker dataset on the interaction between nicotinic acid (NiAc) and free fatty acids (FFA). Data were collected from studies that examined different rates, routes, and modes of NiAc provocations on the FFA time course. All information regarding the exposure to NiAc was excluded in order to demonstrate the utility of a DRT model. Special emphasis was placed on the selection process of the biophase model. An inhibitory I-max-model, driven by the biophase amount, acted on the turnover rate of FFA. A second generation NiAc/FFA model, which encompasses integral (slow buildup of tolerance - an extension of the previously used NiAc/FFA turnover models) and moderator (rapid and oscillatory) feedback control, was simultaneously fitted to all time courses in normal rats. The integral feedback control managed to capture an observed 90% adaptation (i.e., almost a full return to baseline) when 10 days constant-rate infusion protocols of NiAc were used. The half-life of the adaptation process had a 90% prediction interval between 3.5-12 in the present population. The pharmacodynamic parameter estimates were highly consistent when compared to an exposure-driven analysis, partly validating the DRT modelling approach and suggesting the potential of DRT analysis in areas where exposure data are not attainable. Finally, new numerical algorithms, which rely on sensitivity equations to robustly and efficiently compute the gradients in the parameter optimization, were successfully used for the mixed-effects approach in the parameter estimation. (C) 2015 Elsevier B.V. All rights reserved.

Keywords

Biophase models; Turnover; Tolerance; Feedback control; Nicotinic acid (NiAc); Free fatty acids (FFA)

Published in

European Journal of Pharmaceutical Sciences
2016, volume: 81, number: 1, pages: 189-200

SLU Authors

Associated SLU-program

Future Animal Health and Welfare (until Jan 2017)
Animal health (until May 2010)
Non-toxic environment

UKÄ Subject classification

Pharmacology and Toxicology

Publication identifier

  • DOI: https://doi.org/10.1016/j.ejps.2015.10.018

Permanent link to this page (URI)

https://res.slu.se/id/publ/69357