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Stability and Robustness of an Organelle Number Control System: Modeling and Measuring Homeostatic Regulation of Centriole Abundance

机译:细胞器数控制系统的稳定性和鲁棒性:中心粒丰度稳态调节的建模和测量

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摘要

Control of organelle abundance is a fundamental unsolved problem in cell biology. Mechanisms for number control have been proposed in which organelle assembly is actively increased or decreased to compensate for deviations from a set-point, but such phenomena have not been experimentally verified. In this report we examine the control of centriole copy number. We develop a simple scheme to represent organelle inheritance as a first-order Markov process and describe two figures of merit based on entropy and convergence times that can be used to evaluate performance of organelle number control systems. Using this approach we show that segregation of centrioles by the mitotic spindle can shape the specificity of the steady-state centriole number distribution but is neither necessary nor sufficient for stable restoration of centriole number following perturbations. We then present experimental evidence that living cells can restore correct centriole copy number following transient perturbation, revealing a homeostatic control system. We present evidence that correction occurs at the level of single cell divisions, does not require association of centrioles with the mitotic spindle, and involves modulation of centriole assembly as a function of centriole number during S-phase. Combining our experimental and modeling results, we identify two processes required for error correction, de novo assembly and number-limiting, and show that both processes contribute to robust and stable homeostatic control of centriole number, yielding a system capable of suppressing biological noise at the level of organelle abundance.
机译:细胞器丰度的控制是细胞生物学中尚未解决的根本问题。已经提出了用于数字控制的机制,其中主动地增加或减少细胞器组件以补偿与设定点的偏差,但是这种现象尚未得到实验验证。在此报告中,我们检查了对中心粒拷贝数的控制。我们开发了一个简单的方案,将细胞器遗传表示为一阶马尔可夫过程,并基于熵和收敛时间描述了两个可用于评估细胞器数控制系统性能的指标。使用这种方法,我们表明有丝分裂纺锤体分离中心粒可以塑造稳态中心粒数分布的特异性,但是对于扰动后稳定恢复中心粒数既不是必需的也不是足够的。然后,我们提供实验证据,表明活细胞可以在短暂的扰动后恢复正确的中心体拷贝数,从而揭示了一种稳态控制系统。我们提供的证据表明,校正发生在单个细胞分裂的水平上,不需要中心粒与有丝分裂纺锤体相关联,并且涉及在S期中根据中心粒数调节中心粒装配。结合我们的实验结果和建模结果,我们确定了纠错所需的两个过程,即从头组装和数量限制,并表明这两个过程都有助于对中心粒数进行稳固而稳定的稳态控制,从而产生了一种能够抑制生物噪声的系统。细胞器丰度水平。

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