Fig. 8 Clock dynamics in the presence of a coupling delay between cells. (A) Diagram illustrating phase coupling with delay. Cells couple their phase to the phase of their neighbours τ min ago. (B) Anterior synchrony in the presence of coupling delay (τ=21min ) after 1000 min, for varying maximum magnitude of intrinsic cell motion vs and clock phase coupling strength κ , for three different scenarios of cell ingression. Each pixel corresponds to the median value of anterior synchrony across N=100 simulations. A black + marks the experimental values for zebrafish, κ=0.07min−1 , vs=1µm⋅min−1 , derived in Riedel-Kruse et al., 2007, and Uriu et al., 2017, respectively, that are used elsewhere in this paper. All other parameters are held constant at their normal values (see Table 1). (C) Anterior synchrony (top) r after 1000 min, for varying phase coupling delay τ and clock phase coupling strength κ , for three different scenarios of cell ingression. Each pixel corresponds to the median value of anterior synchrony across N=100 simulations. Bottom: Difference from expected mean frequency (Δdθ/dt ) at the pre-somitic mesoderm (PSM) anterior after 1000 min, for three different scenarios of cell ingression. Each pixel corresponds to the mean value across N=100 simulations. A black + marks the experimental values for zebrafish, κ=0.07min−1 , τ=21min , derived in Riedel-Kruse et al., 2007, and Herrgen et al., 2010, respectively. All other parameters are held constant at their normal values (see Table 1).
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