Author/Editor		Bordyugov, Grigory; Westermark, P. O.; Korenčič, Anja; Bernard, S.; Herzel, Hanspeter
Title		Mathematical modeling in chronobiology
Type		članek
Source		In: Circadian clocks Heidelberg New York : Springer
Publication year		2013
Volume		str. 335-357
Language		eng
Abstract		Circadian clocks are autonomous oscillators entrained by external Zeitgebers such as lightdark and temperature cycles. On the cellular level, rhythms are generated by negative transcriptional feedback loops. In mammals, the suprachiasmatic nucleus (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 different levels (1) rhythm generation in single cells by delayed negative feedbacks, (2) synchronization of cells via external stimuli or cellcell coupling, and (3) optimization of chronotherapy.
Keywords		modelling oscillations synchronization modeliranje oscilacije sinhronizacija