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%\textit{Our new findings}  In this follow-up study we further analyze the dynamics of the two interacting oscillators by applying probabilistic inference to the whole signal allowing us to reconstruct the full phase dynamic of this interaction. Rather than detecting division times we use the measured area of the nucleus as a continuous variable to monitor cell cycle progression, as cell cycle area shows a consistent growth pattern between two divisions. divisions \cite{Fidorra1981}.  The analysis of the resulting model indicates that the biological system present several important features of resonating oscillators.  Moreover, this analysis allow us to make more specific predictions on distinct cell cycle events that might have effects on the circadian clock, such the condensation of chromosomes starting from prophase during mitosis. We then test those prediction using further markers of cell cycle events.