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

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Abstract

My purpose in this chapter is to start “putting flesh on the bones” of the simple clock metaphor. Up to this point, I’ve tried to hold your attention on “phase” and its rate of change by confining discussion to the simplest metaphor of smooth cyclic dynamics, namely, the ring device. I have studiously avoided allusion to other degrees of freedom of the “state” of any biological clock. To make the transition to a broader perspective in an orderly way, I now wish to introduce just one additional notion, i.e., that a rhythmic --process might be adjustable not only in phase, our exclusive preoccupation in previous chapters, but also in some measure of its vigor, amplitude, range, or degree of variation during the cycle.

To bring a quality within the grasp of exact science, we must conceive it as depending on the values of one or more variable quantities, and the first step in our scientific progress is to determine the number of these variables which are necessary and sufficient to determine the quality.

James Clerk Maxwell

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© 2001 Springer Science+Business Media New York

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Winfree, A.T. (2001). Getting off the Ring. 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_5

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  • DOI: https://doi.org/10.1007/978-1-4757-3484-3_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3196-2

  • Online ISBN: 978-1-4757-3484-3

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