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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 $\phi=2\pi$ corresponds 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, $\2pi/T_i$) $2\pi/T_i$)  and noise terms to give the velocity of each phase. The complete model reads: \begin{align}  \textrm{d}\theta &= 2\pi /{T_1} \textrm{d}t + F_1(\theta,\phi) \textrm{d}t + \sigma_1 \textrm{d} W^1_t \\