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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 a more complete picture  of the interaction between the two oscillators. Rather than relying on detected division times we use the measured area of the nucleus as a continuous variable to monitor cell cycle progression, as the nuclear area shows a consistent temporal pattern between two divisions \cite{Fidorra1981,bieler2014}. This analysis indicates that the biological system presents several important features of resonating oscillators and, moreover, allows us to make more specific predictions on distinct cell cycle events affecting the circadian clock, such the condensation of chromosomes starting from prophase during mitosis. We then test those predictions using further markers of cell cycle events.