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Mathematical description of drug-target interactions: application to biologics that bind to targets with two binding sites.

Abstract：

:The emerging discipline of mathematical pharmacology occupies the space between advanced pharmacometrics and systems biology. A characteristic feature of the approach is application of advance mathematical methods to study the behavior of biological systems as described by mathematical (most often differential) equations. One of the early application of mathematical pharmacology (that was not called this name at the time) was formulation and investigation of the target-mediated drug disposition (TMDD) model and its approximations. The model was shown to be remarkably successful, not only in describing the observed data for drug-target interactions, but also in advancing the qualitative and quantitative understanding of those interactions and their role in pharmacokinetic and pharmacodynamic properties of biologics. The TMDD model in its original formulation describes the interaction of the drug that has one binding site with the target that also has only one binding site. Following the framework developed earlier for drugs with one-to-one binding, this work aims to describe a rigorous approach for working with similar systems and to apply it to drugs that bind to targets with two binding sites. The quasi-steady-state, quasi-equilibrium, irreversible binding, and Michaelis-Menten approximations of the model are also derived. These equations can be used, in particular, to predict concentrations of the partially bound target (RC). This could be clinically important if RC remains active and has slow internalization rate. In this case, introduction of the drug aimed to suppress target activity may lead to the opposite effect due to RC accumulation.

journal_name

J Pharmacokinet Pharmacodyn

journal_title

Journal of pharmacokinetics and pharmacodynamics

authors

Gibiansky L,Gibiansky E

doi

10.1007/s10928-017-9546-9

subject

Has Abstract

pub_date

2018-02-01 00:00:00

pages

23-34

issue

1

eissn

1567-567X

issn

1573-8744

pii

10.1007/s10928-017-9546-9

journal_volume

45

pub_type

杂志文章

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