BACKGROUND How small, fast-growing bacteria ensure tight cell-size distributions remains elusive. High-throughput measurement techniques have propelled efforts to build modeling tools that help to shed light on the relationships between cell size, growth and cycle progression. Most proposed models describe cell division as a discrete map between size at birth and size at division with stochastic fluctuations assumed. However, such models underestimate the role of cell size transient dynamics by excluding them. RESULTS We propose an efficient approach for estimation of cell size transient dynamics. Our technique approximates the transient size distribution and statistical moment dynamics of exponential growing cells following an adder strategy with arbitrary precision. CONCLUSIONS We approximate, up to arbitrary precision, the distribution of division times and size across time for the adder strategy in rod-shaped bacteria cells. Our approach is able to compute statistical moments like mean size and its variance from such distributions efficiently, showing close match with numerical simulations. Additionally, we observed that these distributions have periodic properties. Our approach further might shed light on the mechanisms behind gene product homeostasis.

中文翻译：

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随机单元尺寸瞬态动力学的有效计算。

背景技术小型、快速生长的细菌如何确保严格的细胞尺寸分布仍然是难以捉摸的。高通量测量技术推动了构建建模工具的努力，这些工具有助于阐明细胞大小、生长和周期进程之间的关系。大多数提出的模型将细胞分裂描述为出生时大小和分裂时大小之间的离散映射，并假设随机波动。然而，此类模型通过排除细胞尺寸瞬态动力学而低估了它们的作用。结果我们提出了一种估计细胞尺寸瞬态动力学的有效方法。我们的技术遵循任意精度的加法器策略来近似指数生长细胞的瞬态尺寸分布和统计矩动态。结论 我们以任意精度近似估计了杆状细菌细胞中加法器策略的分裂时间和大小随时间的分布。我们的方法能够有效地计算统计矩，例如平均大小及其与此类分布的方差，显示出与数值模拟的紧密匹配。此外，我们观察到这些分布具有周期性特性。我们的方法可能进一步揭示基因产物稳态背后的机制。