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Microbial growth and division are fundamental processes relevant to many areas of life science. Of particular interest are homeostasis mechanisms, which buffer growth and division from accumulating fluctuations over multiple cycles. These…

Cell Behavior · Quantitative Biology 2022-10-12 Lee Susman , Maryam Kohram , Harsh Vashistha , Jeffrey T. Nechleba , Hanna Salman , Naama Brenner

For over two decades, Flux Balance Analysis (FBA) has been successfully used for predicting growth rates and intracellular reaction rates in microbiological metabolism. An aspect that is often omitted from this analysis, is segregation or…

Systems and Control · Electrical Eng. & Systems 2023-06-02 Michiel Busschaert , Florence H. Vermeire , Steffen Waldherr

The aim of this study is to compare the growth speed of different cell populations measured by their Malthus parameter. We focus on both the age-structured and size-structured equations. A first population (of reference) is composed of…

Probability · Mathematics 2017-03-02 Adélaïde Olivier

Cell division times in microbial populations display significant fluctuations, that impact the population growth rate in a non-trivial way. If fluctuations are uncorrelated among different cells, the population growth rate is predicted by…

Populations and Evolution · Quantitative Biology 2021-07-07 Simone Pigolotti

Recent experiments have supported the Adder model for E. coli division control. This model posits that bacteria grow, on average, a fixed size before division. It also predicts decorrelation between the noise in the added size and the size…

For various species of biological cells, experimental observations indicate the existence of universal distributions of the cellular size, scaling relations between the cell-size moments and simple rules for the cell-size control. We…

Soft Condensed Matter · Physics 2017-01-12 David A. Kessler , Stanislav Burov

This paper presents an interesting experimental example of voter-model statistics in biology. In recent work on mouse tail-skin, where proliferating cells are confined to a two-dimensional layer, we showed that cells proliferate and…

Biological Physics · Physics 2009-11-13 Allon M. Klein , David P. Doupe , Philip H. Jones , Benjamin D. Simons

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

We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population. We formulate such question as an inverse problem for an…

Analysis of PDEs · Mathematics 2009-11-11 Benoit Perthame , Jorge P. Zubelli

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

The variability in cell size of an isogenic population of Escherichia coli has been widely reported in experiment. The probability density function (PDF) of cell lengths has been variously described by exponential and lognormal functions.…

Cell Behavior · Quantitative Biology 2019-05-21 Chaitanya A. Athale

A rigorous methodology is proposed to study cell division data consisting in several observed genealogical trees of possibly different shapes. The procedure takes into account missing observations, data from different trees, as well as the…

Applications · Statistics 2013-04-15 Benoîte de Saporta , Anne Gégout Petit , Laurence Marsalle

A recent burst of dynamic single-cell growth-division data makes it possible to characterize the stochastic dynamics of cell division control in bacteria. Different modeling frameworks were used to infer specific mechanisms from such data,…

Cell Behavior · Quantitative Biology 2017-03-22 Jacopo Grilli , Matteo Osella , Andrew S. Kennard , Marco Cosentino Lagomarsino

Using demographic data of high spatial resolution for a region in the south of Europe, we study the population over fixed-size spatial cells. We find that, counterintuitively, the distribution of the number of inhabitants per cell increases…

Physics and Society · Physics 2022-12-07 Alvaro Corral , Montserrat García del Muro

Periodic reversals of the direction of motion in systems of self-propelled rod shaped bacteria enable them to effectively resolve traffic jams formed during swarming and maximize their swarming rate. In this paper, a connection is found…

Biological Physics · Physics 2015-03-17 Richard Gejji , Pavel M. Lushnikov , Mark Alber

Spatial models where growth is limited to the edge of the expansions have been instrumental to understand the population dynamics and the clone size distribution in growing cellular populations, such as microbial colonies and avascular…

Populations and Evolution · Quantitative Biology 2022-06-08 Armin Eghdami , Jayson Paulose , Diana Fusco

Cellular phenotype is characterized by different components such as cell size, protein content and cell cycle time. These are global variables that are the outcome of multiple internal microscopic processes. Accordingly, they display some…

Cell Behavior · Quantitative Biology 2018-05-16 Lee Susman , Maryam Kohram , Harsh Vashistha , Jeffrey T. Nechleba , Hanna Salman , Naama Brenner

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

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…

Proliferating cell populations at steady state growth often exhibit broad protein distributions with exponential tails. The sources of this variation and its universality are of much theoretical interest. Here we address the problem by…

Populations and Evolution · Quantitative Biology 2008-07-24 Tamar Friedlander , Naama Brenner