Geodesic
Biochemical network of drug-induced enzyme production: Parameter estimation based on the periodic dosing response measurement
Kybernetika, Tome 57 (2021) no. 6, pp. 1005-1018.

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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.
DOI : 10.14736/kyb-2021-6-1005
Classification : 34A34, 65F60, 65K10, 92C45
Keywords: dynamical system; systems pharmacology; biochemical network; input-output regulation; parameter estimation; fast Fourier transform 
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     author = {Lynnyk, Volodymyr and Pap\'a\v{c}ek, \v{S}t\v{e}p\'an and Reh\'ak, Branislav},
     title = {Biochemical network of drug-induced enzyme production: {Parameter} estimation based on the periodic dosing response measurement},
     journal = {Kybernetika},
     pages = {1005--1018},
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Lynnyk, Volodymyr; Papáček, Štěpán; Rehák, Branislav. Biochemical network of drug-induced enzyme production: Parameter estimation based on the periodic dosing response measurement. Kybernetika, Tome 57 (2021) no. 6, pp. 1005-1018. doi : 10.14736/kyb-2021-6-1005. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2021-6-1005/

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