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Measuring the Trajectories of a Circadian Clock

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The Geometry of Biological Time

Part of the book series: Interdisciplinary Applied Mathematics ((IAM,volume 12))

Abstract

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.

If an experiment does not hold out the possibility of causing one to revise one’s views, it is hard to see why it should be done at all.

Peter B. Medawar

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References

  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 .

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© 2001 Springer Science+Business Media New York

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Winfree, A.T. (2001). Measuring the Trajectories of a Circadian Clock. In: The Geometry of Biological Time. Interdisciplinary Applied Mathematics, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-3484-3_7

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  • DOI: https://doi.org/10.1007/978-1-4757-3484-3_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3196-2

  • Online ISBN: 978-1-4757-3484-3

  • eBook Packages: Springer Book Archive

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