Circadian system modeling and phase control

摘要: Circadian rhythms are biological processes found in all living organisms, from plants to insects mammals that repeat with a period close to, but not exactly, 24 hours. In the absence of environmental cues, circadian oscillate slightly longer or shorter than The 24-hour patterns light and dark strongest synchronizer solar day. disruption resulting lack synchrony between day internal master clock regulates generates had been linked variety maladies. disruption, as experienced by night shift workers those traveling multiple time zones can lead lower productivity, digestive problems decreased sleep efficiency. Long-term has serious health problems, such increased risk cancer, cardiovascular disease, diabetes obesity. Biochemical empirical mathematical models describing its response input have developed various research groups. describe kinetics interaction different proteins may be high order depending on complexity model. Empirical based nonlinear oscillators, van der Pol oscillator, are, therefore, much simpler. Though do biochemical basis, it shown they represent averaged asymptotic behavior models. this paper, we analyze simple model proposed Kronauer colleagues discuss how control used promote entrainment. contrast most existing approaches, which phase curves, propose feedback-based system. Through simulation, show recovery 12-hour jet lag shortened 7 days 2.5 days.