0542303 20250123094326.820210513235959.9 000672803500009 10.21136/panm.2020.09 9 s. P cav_un_epca*0542457978-80-85823-71-42089-97PragueInstitute of Mathematics CAS2021ChlebounJ.KůsP.PřikrylP.RozložníkM.SegethK.ŠístekJ. Dynamical system Regulatory network Input-output Regulation Parameter estimation FFT cav_un_auth*0404313 Papáček Štěpán UTIA-B Teorie řízení Department of Control Theory TŘ TR CZ Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0215855 Lynnyk Volodymyr UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0216347 Rehák Branislav UTIA-B Teorie řízení Department of Control Theory TŘ TR Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2021/TR/papacek-0542303.pdf 426 GA19-05872S GA ČR CZ cav_un_auth*0376352 The common goal of systems pharmacology, i.e. systems biology applied to the eld 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 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. cav_un_auth*0404327 Programy a algoritmy numericke matematiky 2020 (PANM 2020) 20200621 20200626 Hejnice CZ BC 10000 10100 10102 2022 3 PR RVO:67985556 http://hdl.handle.net/11104/0320101 S 2021 SCOPUS PUBMED 000672803500009 WOS 426 cav_un_epca*0542457 Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar 20 Institute of Mathematics CAS 2021 Prague 89 97 978-80-85823-71-4 Chleboun J. 340 Kůs P. 340 Přikryl P. 340 Rozložník M. 340 Segeth K. 340 Šístek J. 340