Cell Biology and Biophysics Unit, European Molecular Biology Laboratory (EMBL), Heidelberg, Germany.
Developmental Biology Unit, European Molecular Biology Laboratory (EMBL), Heidelberg, Germany.
J R Soc Interface. 2023 Jun;20(203):20230123. doi: 10.1098/rsif.2023.0123. Epub 2023 Jun 28.
Many biochemical oscillators are driven by the periodic rise and fall of protein concentrations or activities. A negative feedback loop underlies such oscillations. The feedback can act on different parts of the biochemical network. Here, we mathematically compare time-delay models where the feedback affects production and degradation. We show a mathematical connection between the linear stability of the two models, and derive how both mechanisms impose different constraints on the production and degradation rates that allow oscillations. We show how oscillations are affected by the inclusion of a distributed delay, of double regulation (acting on production and degradation) and of enzymatic degradation.
许多生化振荡器是由蛋白质浓度或活性的周期性上升和下降驱动的。这种振荡的基础是负反馈回路。反馈可以作用于生化网络的不同部分。在这里，我们从数学上比较了反馈影响产生和降解的时滞模型。我们展示了这两种模型线性稳定性之间的数学联系，并推导出两种机制如何对允许振荡的产生和降解速率施加不同的限制。我们展示了如何通过包含分布延迟、双重调节（作用于产生和降解）和酶降解来影响振荡。
