Abstract
A mathematical formulation useful in characterizing the effects of light on the pupal eclosion rhythm of the fruit flyDrosophila pseudoobscura is presented. It is based upon the premise that the underlying pacemaker oscillator behaves in a manner analogous to a customized version of a phase-locked loop circuit. Theoretical analyses supplemented with numerical simulations reveal that this phase-locked loop approach yields a concise mathematical characterization which is quite comprehensive in its scope, yet surprisingly accurate in the detail with which it can be used to successfully predict observed experimental results.
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Schilling, R.J. A mathematical model of the effects of light on the eclosion rhythm of the fruit flydrosophila pseudoobscura . Bltn Mathcal Biology 45, 169–192 (1983). https://doi.org/10.1007/BF02462355
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DOI: https://doi.org/10.1007/BF02462355