The role of APC/C inhibitor Emi2/XErp1 in oscillatory dynamics of early embryonic cell cycles.

The early embryonic Xenopus cell cycles are characterized by alternating oscillations of Cyclin-dependent kinase-1 (Cdk1) and Anaphase Promoting Complex/Cyclosome (APC/C) activities. The early cycles before midblastula transition lack significant inhibitory Cdk1 phosphorylations and are driven by periodic accumulation of Cyclin B before M phase and its degradation by APC/C at the end of M phase. Both experiments and mathematical modelling suggest that while Cdk1:CycB phosphorylation activates APC/C, it inhibits its co-activator Cdc20 (Fizzy). These interactions create an amplified negative-feedback loop which is at the heart of all cell cycle oscillations. Recent experiments find that the APC/C inhibitor, Emi2/XErp1 is essential for large amplitude and short period Cyclin B oscillations during early divisions in the intact Xenopus embryo. This finding is counter-intuitive since larger amplitudes should come with slower cycle times. We explain this paradox by analysing the amplified negative feedback model extended with APC/C inhibition by Emi2. We show that Emi2 interferes with the intrinsic time-delay in APC/C activation and inactivation to increase the amplitude as well as shorten the period of Cyclin B oscillation.