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The cell cycle can also be considered as a periodic process lasting on the order of one day in dividing mammalian cells \cite{19270522}. Consequently, is reasonable to expect that, when circadian and cell cycles run in parallel in the same cell, their coupling could lead to synchronization, also called mode-locking. This phenomenon is defined by a rational winding number (p:q) such that p cycles of one oscillator are completed while the other completes q cyles \cite{11258383}.   One-to-one (1:1) mode-locking of oscillators corresponds to a synchronization where two coupled oscillators oscillate with a common frequency.   Evidences in mammalian cells \cite{17482552}, \cite{14963227} showed synchronization between circadian and cell cycles oscillators which is compatible with the 1:1 mode-locking state. Moreover, many studied described circadian rhythms of cell divisions or clock-dependent variations of mitotic indexes in different types of mammalian cells \cite{12934012}, \cite{23267082}, \cite{15914209}. These observations could be explained by a model denominated \texit{circadian gating of the cell-cycle}, defined as a control operated by the circadian clock that determines temporal windows in which certain cell cycle transitions are either allowed or restricted. Circadian coupling has been also demonstrated in lower organism such cyanobacteria, both, at the population \cite{8816773} and single-cell level \cite{Yang2010}, and in budding yeast \cite{19346485}  %\textit{Interest } \cite{19346485}.  A deeper understanding of how the two biological systems interact is currently of great interest, notably to better understand the role of circadian clocks in proliferating tissues such as the epidermis, immune or stem cells and in cancer \cite{25589491} (ref). %\textit{Our previous findings}