Biochemical network of drug-induced enzyme production: parameter estimation based on the periodic dosing response measurement. (English) Zbl 1513.92023

Lynnyk, Volodymyr; Papáček, Štěpán; Rehák, Branislav

Kybernetika 57, No. 6, 1005-1018 (2021).

Summary: The well-known bottleneck of systems pharmacology, i. e., systems biology applied to pharmacology, refers to the model parameters determination from experimentally measured datasets. This paper represents the development of our earlier studies devoted to inverse (ill-posed) problems of model parameters identification. The key feature of this research is the introduction of control (or periodic forcing by an input signal being a drug intake) of the nonlinear model of drug-induced enzyme production in the form of a system of ordinary differential equations. First, we tested the model features under periodic dosing, and subsequently, we provided an innovative method for a parameter estimation based on the periodic dosing response measurement. A numerical example approved the satisfactory behavior of the proposed algorithm.

MSC:

92C45	Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
92C42	Systems biology, networks
34A34	Nonlinear ordinary differential equations and systems

Keywords:

dynamical system; systems pharmacology; biochemical network; input-output regulation; parameter estimation; fast Fourier transform