Multi‐input adaptive notch filter and observer for circadian phase estimation

Accurate estimation of circadian phase is critical to the assessment and treatment of circadian disruption. Direct measurements of circadian rhythm markers such as dim light melatonin onset and core body temperature are inconvenient and acquired at best at low rate. On the other hand, measurements of other circadian rhythm-modulated signals such as actigraphy, heart rate, and body temperature are convenient but are typically masked by many other factors.

[1]  John T. Wen,et al.  Modeling of drosophila circadian system based on locomotor activity , 2011, Proceedings of the 2011 American Control Conference.

[2]  M. Harrington,et al.  Location, location, location: important for jet-lagged circadian loops. , 2010, The Journal of clinical investigation.

[3]  Francis J. Doyle,et al.  Circadian phase entrainment via nonlinear model predictive control , 2006 .

[4]  Elisabetta De Maria,et al.  On Coupling Models Using Model-Checking: Effects of Irinotecan Injections on the Mammalian Cell Cycle , 2009, CMSB.

[5]  Hassan K. Khalil,et al.  Nonlinear Systems Third Edition , 2008 .

[6]  G. Cornelissen,et al.  Procedures for numerical analysis of circadian rhythms , 2007, Biological rhythm research.

[7]  Arye Nehorai,et al.  Comparative study of four adaptive frequency trackers , 1997, IEEE Trans. Signal Process..

[8]  Serge Daan,et al.  A functional analysis of circadian pacemakers in nocturnal rodents , 1976, Journal of comparative physiology.

[9]  C A Czeisler,et al.  Phase-Amplitude Resetting of the Human Circadian Pacemaker via Bright Light: A Further Analysis , 1994, Journal of biological rhythms.

[10]  Martin H. Teicher,et al.  COSIFIT: an interactive program for simultaneous multioscillator cosinor analysis of time-series data. , 1990, Computers and biomedical research, an international journal.

[11]  J. Stelling,et al.  Optimal phase-tracking of the nonlinear circadian oscillator , 2005, Proceedings of the 2005, American Control Conference, 2005..

[12]  Richard E Kronauer,et al.  Human circadian pacemaker is sensitive to light throughout subjective day without evidence of transients. , 1997, The American journal of physiology.

[13]  C. Pollak,et al.  The role of actigraphy in the study of sleep and circadian rhythms. , 2003, Sleep.

[14]  P. Kokotovic,et al.  Integral manifolds of slow adaptation , 1986 .

[15]  Elizabeth B. Klerman,et al.  Taking the Lag out of Jet Lag through Model-Based Schedule Design , 2009, PLoS Comput. Biol..

[16]  P. Regalia.  Adaptive IIR Filtering in Signal Processing and Control , 1994 .

[17]  Elisabetta De Maria,et al.  Design, optimization and predictions of a coupled model of the cell cycle, circadian clock, DNA repair system, irinotecan metabolism and exposure control under temporal logic constraints , 2011, Theor. Comput. Sci..

[18]  K. D. Frank,et al.  Action Spectra for Phase Shifts of a Circadiain Rhythm in Drosophila , 1969, Science.

[19]  Richard E Kronauer,et al.  Entrainment of the human circadian pacemaker to longer-than-24-h days , 2007, Proceedings of the National Academy of Sciences.

[20]  Romeo Ortega,et al.  A globally convergent frequency estimator , 1999, IEEE Trans. Autom. Control..

[21]  Guy Albert Dumont,et al.  Model-Based Human Circadian Phase Estimation Using a Particle Filter , 2011, IEEE Transactions on Biomedical Engineering.

[22]  M. Huzmezan,et al.  Modifying the human circadian pacemaker using model based predictive control , 2003, Proceedings of the 2003 American Control Conference, 2003..

[23]  John T. Wen,et al.  Circadian system modeling and phase control , 2010, 49th IEEE Conference on Decision and Control (CDC).

[24]  J. T. Enright,et al.  The search for rhythmicity in biological time-series. , 1965, Journal of theoretical biology.

[25]  Alireza R. Bakhshai,et al.  Time-Domain Signal Analysis Using Adaptive Notch Filter , 2007, IEEE Transactions on Signal Processing.

[26]  E. Batschelet.  Circular statistics in biology , 1981 .

[27]  A. Goldbeter,et al.  A Model for Circadian Rhythms in Drosophila Incorporating the Formation of a Complex between the PER and TIM Proteins , 1998, Journal of biological rhythms.

[28]  Jarmila Siegelová,et al.  SOFTWARE FOR CONTOUR MAPS OF MOVING LEAST- SQUARES SPECTRA , 2003 .

[29]  A. Lewy,et al.  Melatonin shifts human circadian rhythms according to a phase-response curve. , 1992, Chronobiology international.

[30]  M. Terman,et al.  Light Therapy for Seasonal and Nonseasonal Depression: Efficacy, Protocol, Safety, and Side Effects , 2005, CNS Spectrums.

[31]  François Rouyer,et al.  Circadian rhythms of locomotor activity in Drosophila , 2003, Behavioural Processes.

[32]  Anna Wirz-Justice,et al.  A human phase-response curve to light , 1991, Neuroscience Letters.

[33]  Emery N Brown,et al.  Characterizing the amplitude dynamics of the human core-temperature circadian rhythm using a stochastic-dynamic model. , 2006, Journal of theoretical biology.

[34]  G. Brainard,et al.  Action Spectrum for Melatonin Regulation in Humans: Evidence for a Novel Circadian Photoreceptor , 2001, The Journal of Neuroscience.

[35]  John T. Wen,et al.  Optimal circadian rhythm control with light input for rapid entrainment and improved vigilance , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[36]  Scott C. Douglas,et al.  Adaptive algorithms for the rejection of sinusoidal disturbances with unknown frequency , 1996, Autom..