论文标题
鞭毛长度控制的主动拆卸模型的全局渐近稳定性
Global asymptotic stability of the active disassembly model of flagellar length control
论文作者
论文摘要
Organelle尺寸控制是生物学的一个基本问题，它证明了细胞在其高度可变环境中保持体内平衡的迷人能力。描述细胞动力学的理论模型具有帮助阐明大小控制的原理。在这里，我们对[FAI等人的主动拆卸模型进行了详细研究，该模型是[Fai等人的长度调节多鞭毛的长度调节，该模型是从共享组件中自组装的多个鞭毛模型，Elife，8，（2019）：E42599]。我们构建了一个混合系统，该系统被证明在整个域中都表现得很好。我们排除模型中引起的振荡的可能性，并通过构建合适的Lyapunov函数来证明全球渐近稳定性。最后，我们将模型推广到任意鞭毛数的情况下，以研究每个细胞的嗅觉感觉神经元，该嗅觉神经元最多具有20纤毛。我们表明，我们的理论结果可以扩展到这种情况，并探讨这种大小控制的通用机理的含义。
Organelle size control is a fundamental question in biology that demonstrates the fascinating ability of cells to maintain homeostasis within their highly variable environments. Theoretical models describing cellular dynamics have the potential to help elucidate the principles underlying size control. Here, we perform a detailed study of the active disassembly model proposed in [Fai et al, Length regulation of multiple flagella that self-assemble from a shared pool of components, eLife, 8, (2019): e42599]. We construct a hybrid system which is shown to be well-behaved throughout the domain. We rule out the possibility of oscillations arising in the model and prove global asymptotic stability in the case of two flagella by the construction of a suitable Lyapunov function. Finally, we generalize the model to the case of arbitrary flagellar number in order to study olfactory sensory neurons, which have up to twenty cilia per cell. We show that our theoretical results may be extended to this case and explore the implications of this universal mechanism of size control.
