caa a22 4500 445330082 CHVBK 20180317142734.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00285-010-0396-y doi (NATIONALLICENCE)springer-10.1007/s00285-010-0396-y Efimov D. CNRS-IMS, University of Bordeaux, 351 Cours de la libération, 33405, Talence, France aut Phase resetting control based on direct phase response curve [Elektronische Daten] [D. Efimov] The problem of controlled phase adjustment (resetting) for models of biological oscillators is considered. The proposed approach is based on oscillators excitation by a pulse, that results in the phase advancement or delay. Design procedure is presented for a series of pulses generation ensuring the required phase resetting. The solution is based on the direct phase response curve (PRC) approach. The notion of direct PRC is developed and non-local PRC model is proposed for oscillators. This model is more suitable for phase dynamics description under inputs excitation with sufficiently high amplitudes. The proposed model is used for controls design. Two control strategies are tested, the open-loop control (that generates a predefined table of instants of the pulses activation ensuring the resetting) and the feedback control (that utilizes information about the current phase value measured once per pulse application). The open-loop control is easier for implementation, the feedback control needs the estimation of the actual phase in the oscillating system. The algorithm of phase estimation is also presented. The conditions of the model and the controls validity and accuracy are determined. Performance of the obtained solution is demonstrated via computer simulation for two models of circadian oscillations and a model of heart muscle contraction. It is shown that in the absence of disturbances the open-loop and the feedback controls have similar performance. Additionally, the feedback control is insensitive to external disturbances influence. In these examples the presented scheme for phase values estimation demonstrates better accuracy than the conventional one. Springer-Verlag, 2011 Phase response curve nationallicence Entrainment nationallicence Control theory nationallicence Circadian rhythm nationallicence Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 855-879 0303-6812 63:5<855 2011 63 285 https://doi.org/10.1007/s00285-010-0396-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0396-y text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Efimov D. CNRS-IMS, University of Bordeaux, 351 Cours de la libération, 33405, Talence, France aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 63/5(2011-11-01), 855-879 0303-6812 63:5<855 2011 63 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer