具有正反馈和不对称分裂的种群结构
Population Structures with Positive Feedback and Asymmetric Division
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中文总结 AI 辅助
该研究针对出芽酵母的不对称分裂特性，结合正反馈机制，通过数值模拟证明细胞可自发形成p:q的稳定周期性时间聚类结构。
中文摘要 AI 辅助
在生物反应器实验中，出芽酵母可表现出稳定的代谢振荡，部分这类振荡涉及细胞周期，并与一种称为时间聚类的动力学现象相关。由于酵母进行不对称分裂，母细胞可能比分更小的子细胞更早分裂。我们证明，不对称分裂加正反馈可产生稳定的时间聚类，在此场景下，细胞自组织形成p个母细胞簇和q个子细胞簇，其中p≤q。在对具有不对称分裂和正反馈的种群模型进行的简单数值模拟中，我们证明p:q的周期性排列可从随机细胞种群中自发形成，我们的主要结果是这些结构可以是稳定的。
英文摘要
In bioreactor experiments, budding yeast can manifest stable metabolic oscillations. In some instances these oscillations involve the cell cycle and are associated with a dynamical phenomenon called temporal clustering. Since yeast divide asymmetrically, mother cells may be able to divide sooner than the smaller daughter cells. We show that asymmetric division plus positive feedback can result in stable temporal clustering. In this scenario, the cells self-organize into $p$ clusters of mother cells and $q$ clusters of daughter cells, $p \le q$. In simple numerical simulations of a population model with asymmetric division and positive feedback, we show that $p:q$ periodic arrangements form spontaneously from random populations of cells. Our main result is that these structures can be stable.
