https://doi.org/10.1140/epjb/e2011-20337-1
How coupling determines the entrainment of circadian clocks*
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Received:
2
May
2011
Revised:
30
June
2011
Published online:
5
August
2011
Abstract
Autonomous circadian clocks drive daily rhythms in physiology and behaviour. A network of coupled neurons, the suprachiasmatic nucleus (SCN), serves as a robust self-sustained circadian pacemaker. Synchronization of this timer to the environmental light-dark cycle is crucial for an organism's fitness. In a recent theoretical and experimental study it was shown that coupling governs the entrainment range of circadian clocks. We apply the theory of coupled oscillators to analyse how diffusive and mean-field coupling affects the entrainment range of interacting cells. Mean-field coupling leads to amplitude expansion of weak oscillators and, as a result, reduces the entrainment range. We also show that coupling determines the rigidity of the synchronized SCN network, i.e. the relaxation rates upon perturbation. Our simulations and analytical calculations using generic oscillator models help to elucidate how coupling determines the entrainment of the SCN. Our theoretical framework helps to interpret experimental data.
Dedicated to Werner Ebeling on the occasion of his 75th birthday.
Both authors contributed equally.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2011
