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Article

Papáček, Štěpán ; Lynnyk, Volodymyr ; Rehák, Branislav
Regulatory network of drug-induced enzyme production: parameter estimation based on the periodic dosing response measurement. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 89-97
MSC: 34A34, 65F60, 65K10, 92C45 | DOI: 10.21136/panm.2020.09
Keywords:
dynamical system; regulatory network; input-output regulation; parameter estimation; FFT
Summary:
The common goal of systems pharmacology, i.e. systems biology applied to the field of pharmacology, is to rely less on trial and error in designing an input-output systems, e.g. therapeutic schedules. In this paper we present, on the paradigmatic example of a regulatory network of drug-induced enzyme production, the further development of the study published by Duintjer Tebbens \textit{et al}. (2019) in the Applications of Mathematics. Here, the key feature is that the nonlinear model in form of an ODE system is controlled (or periodically forced) by an input signal being a drug intake. Our aim is to test the model features under both periodic and nonrecurring dosing, and eventually to provide an innovative method for a parameter estimation based on the periodic dosing response measurement.
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