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\textbf{I'm putting this here now, to be merged with the rest of the introduction}  In this work we treat both the circadian clock and cell cycle as stochastic phase oscillators, where the phase represent the angle of a trajectory along the limit cycle. We use the angle $\theta$ to denote the phase of the circadian oscillator and $\phi$ for the cell cycle. We defined the phases such that $\theta = 2\pi$ corresponds to the peak of \revalphaYFP expression, and $\phi=2\pi$ correspond to the cell division . These two quantities live on the $(\theta, \phi)$-plane defined on $[0, 2\pi] \times [0, 2\pi]$ with periodic boundary conditions on each side, forming a torus.  We model the coupling between the two oscillators via two functions $F_1(\theta,\phi)$ and $F_2(\theta,\phi)$, $F_1$ defining the influence of the cell cycle onto the circadian clock and vis versa for $F_2$. These two function add up with the intrinsic frequencies of the oscillator (frequency in the absence of coupling) and noise terms to give the velocity of each phase. The complete model reads: