Taheri-Araghi Sattar, Bradde Serena, Sauls John T, Hill Norbert S, Levin Petra A, Paulsson Johan, Vergassola Massimo, Jun Suckjoon
Department of Physics, University of California San Diego, La Jolla, CA 92093.
Initiative for the Theoretical Sciences, The Graduate Center, City University of New York, 365 Fifth Ave., New York, NY 10016.
Curr Biol. 2015 Feb 2;25(3):385-391. doi: 10.1016/j.cub.2014.12.009. Epub 2014 Dec 24.
How cells control their size and maintain size homeostasis is a fundamental open question. Cell-size homeostasis has been discussed in the context of two major paradigms: "sizer," in which the cell actively monitors its size and triggers the cell cycle once it reaches a critical size, and "timer," in which the cell attempts to grow for a specific amount of time before division. These paradigms, in conjunction with the "growth law" [1] and the quantitative bacterial cell-cycle model [2], inspired numerous theoretical models [3-9] and experimental investigations, from growth [10, 11] to cell cycle and size control [12-15]. However, experimental evidence involved difficult-to-verify assumptions or population-averaged data, which allowed different interpretations [1-5, 16-20] or limited conclusions [4-9]. In particular, population-averaged data and correlations are inconclusive as the averaging process masks causal effects at the cellular level. In this work, we extended a microfluidic "mother machine" [21] and monitored hundreds of thousands of Gram-negative Escherichia coli and Gram-positive Bacillus subtilis cells under a wide range of steady-state growth conditions. Our combined experimental results and quantitative analysis demonstrate that cells add a constant volume each generation, irrespective of their newborn sizes, conclusively supporting the so-called constant Δ model. This model was introduced for E. coli [6, 7] and recently revisited [9], but experimental evidence was limited to correlations. This "adder" principle quantitatively explains experimental data at both the population and single-cell levels, including the origin and the hierarchy of variability in the size-control mechanisms and how cells maintain size homeostasis.
细胞如何控制其大小并维持大小稳态是一个基本的开放性问题。细胞大小稳态已在两种主要范式的背景下进行了讨论:“大小控制器”范式,即细胞主动监测其大小,并在达到临界大小时触发细胞周期;以及“定时器”范式,即细胞在分裂前试图生长特定的一段时间。这些范式,连同“生长定律”[1]和定量细菌细胞周期模型[2],激发了众多理论模型[3 - 9]以及从生长[10, 11]到细胞周期和大小控制[12 - 15]的实验研究。然而,实验证据涉及难以验证的假设或群体平均数据,这使得存在不同的解释[1 - 5, 16 - 20]或有限的结论[4 - 9]。特别是,群体平均数据和相关性并无定论,因为平均过程掩盖了细胞水平上的因果效应。在这项工作中,我们扩展了一种微流控“母机”[21],并在广泛的稳态生长条件下监测了数十万革兰氏阴性大肠杆菌和革兰氏阳性枯草芽孢杆菌细胞。我们结合实验结果和定量分析表明,细胞每一代增加恒定的体积,而不论其新生大小如何,这确凿地支持了所谓的恒定增量模型。该模型是针对大肠杆菌提出的[6, 7],最近又被重新审视[9],但实验证据仅限于相关性。这种“加法器”原理在群体和单细胞水平上都定量地解释了实验数据,包括大小控制机制中变异性的起源和层次结构,以及细胞如何维持大小稳态。