Time and Timelessness in Biological Clocks

  • Arthur T. Winfree
Part of the ALZA Conference Series book series (ALZA, volume 2)

Abstract

My purpose in this paper is to tell a bit about the rephasing of physiological rhythms. The bit I choose to emphasize is the pattern of rephasing as a function of both when in the cycle you disturb a rhythm, and how hard you hit it. Such a pattern of response tells you

Keywords

Vortex Estrogen Nicotin Fructose Estradiol 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Winfree, A.T. Oscillatory glycolysis in yeast: the pattern of phase resetting by oxygen. Arch. Biochem. Biophys. 149:388–401, 1972.CrossRefGoogle Scholar
  2. 2.
    Winfree, A.T. Corkscrews and singularities in fruitflies: resetting behavior of the circadian eclosion rhythm. Biochronometry, ed. M. Menaker, National Academy of Sciences Press, Washington D.C., 1971.Google Scholar
  3. 3.
    Pye, E.K. Biochemical mechanisms underlying the metabolic oscillation of yeast. Can. J. Botany 47:271–285, 1969.CrossRefGoogle Scholar
  4. 4.
    Pye, E.K., and B. Chance. Sustained sinusoidal oscillations of reduced pyridine nucleotide in a cell-free extract of saccharomyces carlsbergensis. Proc. Nat. Acad. Sci. U.S. 55:888–894, 1966.CrossRefGoogle Scholar
  5. 5.
    Chance, B., J.R. Williamson, and B. Schoener. Properties and kinetics of reduced pyridine nucleotide fluorescence of the isolated and in vivo rat heart. Biochem. Z. 341:357–377, 1965.Google Scholar
  6. 6.
    Frenkel, R. Reduced diphosphopyridine mucleotide oscillations in cell-free extracts from beef heart. Arch. Biochem. Biophys. 115:112–121, 1966.CrossRefGoogle Scholar
  7. 7.
    Winfree, A.T. Slow dark-adaptation in drosophila’s circadian clock. J. Comp. Physiol. 77:418–434, 1972.CrossRefGoogle Scholar
  8. 8.
    Winfree, A.T. On the photosensitivity of the circadian time-sense in drosophila pseudoobscura. J. Theoret. Biol. 35:159–189, 1972.CrossRefGoogle Scholar
  9. 9.
    Johnsson, A., H.G. Karlsson, and W. Engelmann. Phase shift effects in the kalanchoe petal rhythm due to two or more light pulses. Physiol. Plantarum 28:134–142, 1973.CrossRefGoogle Scholar
  10. Winfree, A.T. Resetting the Amplitude of Drosophila’s Circadian Chronometer to appear in J. Comp. Physiol. 1973.Google Scholar
  11. 10.
    Konopka, R.J., and S. Benzer. Clock mutants of drosophila melanogaster. Proc. Nat. Acad. Sci. 68:2112–2116, 1971.CrossRefGoogle Scholar
  12. 11.
    Winfree, A.T. The temporal morphology of a biological clock. Lectures on mathematics in the Life Sciences vol. 2, Providence, ed. M. Gerstenhaber, Amer. Math. Soc, 1970, 109-150.Google Scholar
  13. 12.
    Johnsson, A., and H.G. Karlsson. A feedback model for biological rhythms. I. Mathematical description and basic properties of the model. J. Theoret. Biol. 36:153–174, 1972.CrossRefGoogle Scholar
  14. Karlsson, H.G., and A. Johnsson. II. Comparisons with experimental results, especially on the petal rhythm of kalanchoe. J. Theoret. Biol. 36:175–194, 1972.CrossRefGoogle Scholar
  15. 13.
    Mitchison, G.J., and A.T. Winfree. Discontinuities and singularities in Biological cycles, (submitted for publication in 1973).Google Scholar
  16. 14.
    Loher, W. Circadian control of stridulation in the cricket teleogryllus commodus walker. J. Comp. Physiol. 79:173–190, 1972.CrossRefGoogle Scholar
  17. 15.
    Nishiitsutsuji-Uwo, J., and C.S. Pittendrigh. The neuroendocrine basis of midgut tumour induction in cockroaches. J. Insect Physiol. 13:851–859, 1960.CrossRefGoogle Scholar
  18. 16.
    Adkisson, P.L., and C. Walcott. Physiology of insect diapause. XV. The transmission of photoperiod signals to the brain of the oak silkworm, Anthereae pernyi. Biol. Bull. 128:497–507, 1965.CrossRefGoogle Scholar
  19. 17.
    Boutselis, J.G., N. Vorys, and R. Dickey. Control of ovulation time with low-dose estrogens. Obstet. Gynecol. 38:863–868, 1972.Google Scholar
  20. 18.
    Yen, S.S.C., and C.C. Tsai. Acute gonadotropin release induced by exogenous estradiol during the mid-follicular phase of the menstrual cycle. J. Clin. Endocrinol. Metab. 34:298–305, 1972.CrossRefGoogle Scholar
  21. 19.
    Thompson, H.E., J.D. Horgan, and E. Delfs. A simplified mathematical model and simulations of the hyophysis-ovarian endocrine control system. Biophys. J. 9:278–291, 1969.CrossRefGoogle Scholar
  22. 20.
    Shack, W.J., P.Y. Tam, and T.J. Lardner. A methematical model of the human menstrual cycle. Biophys. J. 11:835–848, 1971.CrossRefGoogle Scholar
  23. 21.
    Bogumil, R.J., M. Ferin, J. Rootenberg, L. Speroff, and R.L. Vande Wiele. Mathematical studies of the human menstrual cycle. J. Clin. Endocrinol. Metab. 35:126–156, 1972.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • Arthur T. Winfree
    • 1
  1. 1.Department of Biological SciencesPurdue UniversityLafayetteUSA

Personalised recommendations