Comparison of Amplitude Recovery Dynamics of Two Limit Cycle Oscillator Models of the Human Circadian Pacemaker

References

• Andronov A. A., Vitt A. A., Khaikin S. E. Theory of Oscillators. Dover Publications, New York 1966
   Google Scholar
• Boivin D. B., Duffy J. F., Kronauer R. E., Czeisler C. A. Dose‐response relationships for resetting of human circadian clock by light. Nature 1996; 379: 585–613
   Web of Science ®Google Scholar
• Brown E. N., Czeisler C. A. The statistical analysis of circadian phase and amplitude in constant routine core temperature data. J. Biol. Rhythms 1992; 7: 177–189
   PubMed Web of Science ®Google Scholar
• Brown E. N., Schmid C. H. Application of the Kalman filter to computational problems in statistics. Methods in Enzymology, Numerical Computer Methods, Part B, L. Brand, M. L. Johnson. Academic Press, Orlando 1994; 171–181
   Google Scholar
• Brown E. N., Choe Y., Luithardt H., Czeisler C. A. A statistical model of the human core‐temperature circadian rhythm. Am. J. Physiol. Endocrinol. Metab. 2000; 279: E669–E683
   PubMed Web of Science ®Google Scholar
• Brown E. N., Solo V., Zhang Z. Measuring the period of the human biological clock. Methods in Enzymology, Numerical Computer Methods, L. Brand, M. L. Johnson. Academic Press, Orlando 2004; 383: 383–405
   Google Scholar
• Czeisler C. A., Khalsa S. B.S. The human circadian timing system and sleep‐wake regulation. Principles and Practice of Sleep Medicine, M. H. Kryger, T. Roth, W. C. Dement. W.B. Saunders Company, Philadelphia 2000; 353–374
   Google Scholar
• Czeisler C. A., Kronauer R. E., Allan J. S., Duffy J. F., Jewett M. E., Brown E. N., Ronda J. M. Bright light induction of strong (type 0) resetting of the human circadian pacemaker. Science 1989; 244: 1328–1333
   PubMed Web of Science ®Google Scholar
• Czeisler C. A., Dumont M., Duffy J. F., Steinberg J. D., Richardson G. S., Brown E. N., Sánchez R., Ríos C. D., Ronda J. M. Association of sleep‐wake habits in older people with changes in output of circadian pacemaker. Lancet 1992; 340: 933–936
   PubMed Web of Science ®Google Scholar
• Czeisler C. A., Duffy J. F., Shanahan T. L., Brown E. N., Mitchell J. F., Rimmer D. W., Ronda J. M., Silva E. J., Allan J. S., Emens J. S., Dijk D. J., Kronauer R. E. Stability, precision, and near‐24‐hour period of the human circadian pacemaker. Science 1999; 284: 2177–2181
   PubMed Web of Science ®Google Scholar
• Duffy J. F. Constant routine. Encyclopedia of Sleep and Dreaming, M. A. Carskadon. Macmillan Publishing Company, New York 1993; 134–136
   Google Scholar
• Forger D. B., Jewett M. E., Kronauer R. E. A simpler model of the human circadian clock. J. Biol. Rhythms 1999; 14: 532–537
   PubMed Web of Science ®Google Scholar
• Jewett M. E., Czeisler C. A. The role of endogenous circadian amplitude in the modulation of alertness and performance: an investigation of the singular region. Sleep Res. 1992; 21: 378
   Google Scholar
• Jewett M. E., Kronauer R. E. Refinement of a limit cycle oscillator model of the effects of light on the human circadian pacemaker. J. Theor. Biol. 1998; 192: 455–465
   PubMed Web of Science ®Google Scholar
• Jewett M. E., Kronauer R. E., Czeisler C. A. Light‐induced suppression of endogenous circadian amplitude in humans. Nature 1991; 350: 59–62
   PubMed Web of Science ®Google Scholar
• Jewett M. E., Kronauer R. E., Czeisler C. A. Phase/amplitude resetting of the human circadian pacemaker via bright light: a further analysis. J. Biol. Rhythms 1994; 9: 295–314
   PubMed Web of Science ®Google Scholar
• Jewett M. E., Forger D. B., Kronauer R. E. Revised limit cycle oscillator model of human circadian pacemaker. J. Biol. Rhythms 1999; 14: 493–499
   PubMed Web of Science ®Google Scholar
• Jones R. H. Maximum likelihood fitting of ARMA models to time series with missing observations. Technometrics 1980; 22: 389–395
   Web of Science ®Google Scholar
• Klerman E. B., Dijk D. J., Kronauer R. E., Czeisler C. A. Simulations of light effects on the human circadian pacemaker: implications for assessment of intrinsic period. Am. J. Physiol. 1996; 270: R271–R282
   PubMed Web of Science ®Google Scholar
• Kronauer R. E. A quantitative model for the effects of light on the amplitude and phase of the deep circadian pacemaker, based on human data. Sleep '90, Proceedings of the Tenth European Congress on Sleep Research, J. Horne. Pontenagel Press, Dusseldorf 1990; 306–309
   Google Scholar
• Kronauer R. E., Forger D. B., Jewett M. E. Quantifying human circadian pacemaker response to brief, extended, and repeated light stimuli over the photopic range. J. Biol. Rhythms 1999; 14: 500–515
   PubMed Web of Science ®Google Scholar
• Kronauer R. E., Forger D. B., Jewett M. E. Errata Quantifying human circadian pacemaker response to brief, extended, and repeated light stimuli over the photopic range. J. Biol. Rhythms 2000; 15: 184–186
   Google Scholar
• Priestley M. B. Spectral Analysis and Time Series. Academic Press, London 2001; 367–370
   Google Scholar
• Rimmer D. W., Boivin D. B., Shanahan T. L., Kronauer R. E., Duffy J. F., Czeisler C. A. Dynamic resetting of the human circadian pacemaker by intermittent bright light. Am. J. Physiol. Regul. Integr. Comp. Physiol. 2000; 279: R1574–R1579
   PubMed Web of Science ®Google Scholar
• Rodenbeck A., Huether G., Ruther E., Hajak G. Altered circadian melatonin secretion patterns in relation to sleep in patients with chronic sleep‐wake rhythm disorders. J. Pineal. Res. 1998; 25: 201–210
   PubMed Web of Science ®Google Scholar
• Shanahan T. L., Kronauer R. E., Duffy J. F., Williams G. H., Czeisler C. A. Melatonin rhythm observed throughout a three‐cycle bright‐light stimulus designed to reset the human circadian pacemaker. J. Biol. Rhythms 1999; 14: 237–253
   PubMed Web of Science ®Google Scholar
• Strogatz S. H., Kronauer R. E., Czeisler C. A. Circadian regulation dominates homeostatic control of sleep length and prior wake length in humans. Sleep 1986; 9: 353–364
   PubMed Web of Science ®Google Scholar
• Tilley A. J., Wilkinson R. T., Warren P. S.G., Watson B., Drud M. The sleep and performance of shift workers. Hum. Factors 1982; 24: 629–641
   PubMed Web of Science ®Google Scholar
• Waterhouse J. M., DeCoursey P. J. Human circadian organization. Chronobiology: Biological Timekeeping, J. C. Dunlap, J. J. Loros, P. J. DeCoursey. Sinauer Associates, Sunderland 2004; 291–324
   Google Scholar
• Winfree A. T. Resetting biological clocks. Phys. Today 1975; 28: 34–39
   Web of Science ®Google Scholar
• Winfree A. T. The Geometry of Biological Time. Springer, New York 2000; 592–600
   Google Scholar