deletions | additions       diff --git a/Estimating coupling functions from phases.tex b/Estimating coupling functions from phases.tex  index 8adde50..5f4d350 100644  --- a/Estimating coupling functions from phases.tex  +++ b/Estimating coupling functions from phases.tex 
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In order to fully specify the model, the phase diffusion coefficients and the instrinsic frequencies values have to be provided in addition to the coupling functions. We also noticed by fitting synthetic data that the amplitude of the coupling functions was often reduced after the inference. Thus we refitted these parameters, as well as multiplicative amplitude parameter in front of each coupling function, such that the model is able to faithfully reproduce the data (Figure \ref{fig:dataAndModelComparison}).  The two final coupling functions (Figure \ref{fig:estimatedCouplingFunctions}) show that the infered coupling is predominantly from the cell cycle to the circadian clock, as we previously described. The function $F_1$ shows a acceleration of the circadian clock around the division when the division take place before the circadian peak, consistent with our previous observations (Figure \ref{fig:estimatedCouplingFunctions}A, yellow). In addition we find two new interaction regions where the circadian clock is slowed down by the cell cycle ((Figure \ref{fig:estimatedCouplingFunctions})A, (Figure \ref{fig:estimatedCouplingFunctions}A,  blue). These regions were sometimes found by our previous inference method, but were not consistently positioned in the phase plane.