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Cells employ control strategies to maintain a stable size. Dividing at a target size (the `sizer' strategy) is thought to produce the tightest size distribution. However, this result follows from phenomenological models that ignore the…

Biological Physics · Physics 2024-02-27 Motasem ElGamel , Andrew Mugler

Fundamental mechanisms governing cell size control and homeostasis are still poorly understood. The relationship between sizes at division and birth in single cells is used as a metric to categorize the basis of size homeostasis [1-3].…

Cell Behavior · Quantitative Biology 2020-01-08 Giuseppe Facchetti , Benjamin Knapp , Fred Chang , Martin Howard

Cells control their size to cope with noise during growth and division. Eukaryotic cells exhibiting "sizer" control (targeting a specific size before dividing) may rely on molecular concentration thresholds, but simple implementations of…

Biological Physics · Physics 2026-05-08 Motasem ElGamel , Lucas Ribaudo , Andrew Mugler

How exponentially growing cells maintain size homeostasis is an important fundamental problem. Recent single-cell studies in prokaryotes have uncovered the adder principle, where cells on average, add a fixed size (volume) from birth to…

Subcellular Processes · Quantitative Biology 2016-07-28 Khem Raj Ghusinga , Cesar A. Vargas-Garcia , Abhyudai Singh

Cell division is a process that involves many biochemical steps and complex biophysical mechanisms. To simplify the understanding of what triggers cell division, three basic models that subsume more microscopic cellular processes associated…

Cell Behavior · Quantitative Biology 2020-03-30 Mingtao Xia , Chris D. Greenman , Tom Chou

Living cells maintain size homeostasis by actively compensating for size fluctuations. Here, we present two stochastic maps that unify phenomenological models by integrating fluctuating single-cell growth rates and size-dependent noise…

Populations and Evolution · Quantitative Biology 2026-01-09 Arthur Genthon , Philipp Thomas

Organisms across all domains of life regulate the size of their cells. However, the means by which this is done is poorly understood. We study two abstracted "molecular" models for size regulation: inhibitor dilution and initiator…

Molecular Networks · Quantitative Biology 2017-11-07 Felix Barber , Po-Yi Ho , Andrew W. Murray , Ariel Amir

Our understanding of cell division control in bacteria still relies largely on interpreting correlations between phenomenological variables, with limited connection to the underlying molecular mechanisms. Here, we analytically solve a…

Various rod-shaped bacteria such as the canonical gram negative Escherichia coli or the well-studied gram positive Bacillus subtilis divide symmetrically after they approximately double their volume. Their size at division is not constant,…

Cell Behavior · Quantitative Biology 2015-06-18 Ariel Amir

Classic models of cell size control consider cells divide while reaching a threshold, e.g. size, age, or size extension. The molecular basis of the threshold involves multiple layers of regulation as well as gene noises. In this work, we…

Statistical Mechanics · Physics 2022-04-28 Liang Luo , Yang Bai , Xiongfei Fu

To maintain a constant cell size, dividing cells have to coordinate cell cycle events with cell growth. This coordination has for long been supposed to rely on the existence of size thresholds determining cell cycle progression [1]. In…

Cell Behavior · Quantitative Biology 2016-11-04 Ilya Soifer , Lydia Robert , Ariel Amir

Cell size control and homeostasis is a major topic in cell biology yet to be fully understood. Several growth laws like the timer, adder, and sizer were proposed, and mathematical approaches that model cell growth and division were…

Cell Behavior · Quantitative Biology 2023-07-19 Aviv Arcobi , Stanislav Burov

The mean size of exponentially dividing E. coli cells cultured in different nutrient conditions is known to depend on the mean growth rate only. However, the joint fluctuations relating cell size, doubling time and individual growth rate…

It is well known that the different cell-division models, such as Timer, Sizer, and Adder, can be distinguished based on the correlations between different single-cell-level quantities such as birth-size, division-time, division-size, and…

Statistical Mechanics · Physics 2025-10-29 Vikas , Rahul Marathe , Anjan Roy

Cell size control is crucial for maintaining cellular function and homeostasis. In this study, we develop a first-order partial differential equation model to examine the effects of three key size control mechanisms: the sizer, timer, and…

Cell Behavior · Quantitative Biology 2025-05-27 Shuqi Fan , Jinzhi Lei

A ubiquitous feature of living cells is their growth over time followed by division into daughter cells. How isogenic cell populations maintain size homeostasis, i.e., a narrow distribution of cell size, is an intriguing fundamental…

Cell Behavior · Quantitative Biology 2016-06-03 César Augusto Vargas-García , Mohammad Soltani , Abhyudai Singh

Measurements of cell size dynamics have established the adder principle as a robust mechanism of cell size homeostasis. In this framework, cells add a nearly constant amount of size during each cell cycle, independent of their size at…

Quantitative Methods · Quantitative Biology 2026-01-01 Sayeh Rezaee , Cesar Nieto , Abhyudai Singh

Is it possible to estimate the dependence of a growing and dividing population on a given trait in the case where this trait is not directly accessible by experimental measurements, but making use of measurements of another variable? This…

Statistics Theory · Mathematics 2019-07-12 Marie Doumic , Adélaïde Olivier , Lydia Robert

Solving population balance equations, we derive analytical steady-state cell size distributions for single-lineage experiments, such as the mother machine. These experiments are fundamentally different from batch cultures where populations…

Populations and Evolution · Quantitative Biology 2023-09-13 Arthur Genthon

Single-cell experiments revealed substantial variability in generation times, growth rates but also in birth and division sizes between genetically identical cells. Understanding how these fluctuations determine the fitness of the…

Populations and Evolution · Quantitative Biology 2025-03-24 Arthur Genthon
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