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Book Sections Year : 2013

Mathematical modeling in chronobiology


Circadian clocks are autonomous oscillators entrained by external Zeitgebers such as light-dark and temperature cycles. On the cellular level, rhythms are generated by negative transcriptional feedback loops. In mammals, the suprachiasmatic necleus (SCN) in the anterior part of the hypothalamus plays the role of the central circadian pacemaker. Coupling between individual neurons in the SCN leads to precise self-sustained oscillations even in the absence of external signals. These neuronal rhythms orchestrate the phasing of circadian oscillations in peripheral organs. Altogether, the mammalian circadian system can be regarded as a network of coupled oscillators. In order to understand the dynamic complexity of these rhythms, mathematical models successfully complement experimental investigations. Here we discuss basic ideas of modeling on three di erent levels: (i) rhythm generation in single cells by delayed negative feedbacks, (ii) synchronization of cells via external stimuli or cell-cell coupling, and (iii) optimization of chronotherapy.
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hal-00839517 , version 1 (28-06-2013)



Grigory Bordyugov, Pål O Westermark, Ana Korencic, Samuel Bernard, Hanspeter Herzel. Mathematical modeling in chronobiology. Achim Kramer and Martha Merrow. Circadian clocks, Springer, pp.335--357, 2013, ⟨10.1007/978-3-642-25950-0_14⟩. ⟨hal-00839517⟩
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