Measuring the Trajectories of a Circadian Clock

  • Arthur T. Winfree
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 12)


If, in context of real laboratory experiments, we wish to seriously contemplate models with more than one degree of freedom, then we must find two or more independent empirical measures corresponding to the movements of the system in its state space. We must seek to plot a trajectory in a space of two or more measurable quantities. If we can find a way to do this, then we can distinguish the quickly attracting cycle of Chapter 6 from the orbitally stable kinetic schemes of Chapters 4 and 5.


Circadian Rhythm Circadian Clock Observation Window Circadian Oscillator Phase Reset 
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  1. 1.
    In Winfree (1973a) I used a slightly different notation. M was there S (stimulus seconds), avoided here out of deference to topological notation for the circle, t was WATT. θ’ was θ 2.Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Arthur T. Winfree
    • 1
  1. 1.Department of Ecology and Evolutionary BiologyUniversity of ArizonaTucsonUSA

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