Asymptotic analysis of a TMDD model: when a reaction contributes to the destruction of its product
type: Item
instance of: scholarly article
title: Asymptotic analysis of a TMDD model: when a reaction contributes to the destruction of its product
zbMATH Open document ID: 1417.34104
author: Lida I. Michalaki
author: Dimitrios A. Goussis
published in: Journal of Mathematical Biology
publication date: 2019-03-01T00:00:00Z
review text: Target-mediated drug disposition (TMDD) refers to the interaction, \textit{in vivo}, between a drug and a biological receptor which subsequently form a drug-receptor complex. That complex represents the active configuration of the drug and is crucial to both the pharmacodynamics and the pharmacokinetics thereof. A modelling framework for TMDD was established in [\textit{D. E. Mager} and \textit{W. J. Jusko}, ``General pharmacokinetic model for drugs exhibiting target-mediated drug disposition'', J. Pharmacokinet. Pharmacodyn. 28, No. 6, 507--532 (2001; \url{doi:10.1023/a:1014414520282})]; their differential equation model consists of a central compartment (blood plasma) and a peripheral compartment, the tissue, and assumes first-order absorption from a depot compartment. Binding between the drug, or ligand, and the receptor (target) occurs in the central compartment; ligand is allowed to move between compartments. Subsequent modifications of that standard model included varying numbers of compartments, the absence of absorption, the presence of multiple drugs or receptors, and autoregulation; a review can be found in [\textit{P. Dua}, \textit{E. Hawkins} and \textit{P. H. van der Graaf}, ``A tutorial on target-mediated drug disposition (TMDD) models'', Pharmacomet. Syst. Pharmacol. 4, No. 6, 324--337 (2015; \url{doi:10.1002/psp4.41})]. Common to these models is a time scale separation which is due to ligand-receptor binding being fast, while the elimination of ligand is slow [\textit{L. Gibiansky} et al., ``Approximations of the target-mediated drug disposition model and identifiability of model parameters'', J. Pharmacokin. Pharmacodyn. 35, No. 5, 573--591 (2008; \url{doi:10.1007/s10928-008-9102-8})]; that separation prompted the construction of reduced models on the basis of a quasi-steady-state approximation (QSSA) or a partial equilibrium approximation (PEA) [Dua, Hawkins and van der Graaf, loc. cit.]. \par Recently, \textit{L. A. Peletier} and \textit{J. Gabrie…
reviewed by: Nikola Popović
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92C45
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 37M20
Mathematics Subject Classification ID: 34E20
zbMATH DE Number: 7031407
zbMATH Keywords: target-mediated drug disposition (TMDD)
zbMATH Keywords: perturbation analysis
zbMATH Keywords: quasi-steady-state approximation (QSSA)
zbMATH Keywords: partial equilibrium approximation (PEA)
zbMATH Keywords: computational singular perturbation (CSP)
MaRDI profile type: Publication
full work available at URL: s00285-018-1234-x
OpenAlex ID: W2802846012
Wikidata QID: Q52314632
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DOI: 10.1007/S00285-018-1234-X
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description: scientific article; zbMATH DE number 7031407