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It has been recently shown that the exponential growth rate of a population of bacterial cells starting from a single cell shows transient oscillations due to early synchronized bursts of division. These oscillations are enhanced by cell…

种群与进化 · 定量生物学 2024-08-05 Yaïr Hein , Farshid Jafarpour

We model an enclosed system of bacteria, whose motility-induced phase separation is coupled to slow population dynamics. Without noise, the system shows both static phase separation and a limit cycle, in which a rising global population…

统计力学 · 物理学 2017-11-08 Tobias Grafke , Michael E. Cates , Eric Vanden-Eijnden

Growing living cultures of Escherichia coli bacteria were investigated using real-time in situ rheology and rheo-imaging measurements. In the early stages of growth (lag phase), and when subjected to a constant stationary shear, the…

生物物理 · 物理学 2016-12-21 R. Portela , P. Patrício , P. L. Almeida , R. G. Sobral , J. M. Franco , C. R. Leal

The activity of growing living bacteria was investigated using real-time and in situ rheology -- in stationary and oscillatory shear. Two different strains of the human pathogen Staphylococcus aureus -- strain COL and its isogenic cell wall…

生物物理 · 物理学 2015-06-19 P. Patricio , P. L. Almeida , R. Portela , R. G. Sobral , I. R. Grilo , T. Cidade , C. R. Leal

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

种群与进化 · 定量生物学 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

How are granular details of stochastic growth and division of individual cells reflected in smooth deterministic growth of population numbers? We provide an integrated, multiscale perspective of microbial growth dynamics by formulating a…

Two powerful and complementary experimental approaches are commonly used to study the cell cycle and cell biology: One class of experiments characterizes the statistics (or demographics) of an unsynchronized exponentially-growing…

生物物理 · 物理学 2022-02-02 Dean Huang , Teresa Lo , Houra Merrikh , Paul A. Wiggins

So fast is the growth of a culture of E. coli that it led researchers to overlook a possible death rate. As a matter of fact, the experiments done in the first half of the 20th century were unable to detect any mortality. It is only at the…

A mathematical model of Min oscillation in Escherichia coli is numerically studied. The oscillatory state and hysteretic transition are explained with simpler coupled differential equations. Next, we propose a simple model of cell growth…

适应与自组织系统 · 物理学 2019-10-23 Hidetsugu Sakaguchi , Yuka Kawasaki

Modelling, analysing and inferring triggering mechanisms in population reproduction is fundamental in many biological applications. It is also an active and growing research domain in mathematical biology. In this chapter, we review the…

偏微分方程分析 · 数学 2023-01-09 Marie Doumic , Marc Hoffmann

Bacterial populations in natural conditions are expected to experience stochastic environmental fluctuations, and in addition, environments are affected by bacterial activities since they consume substrates and excrete various chemicals. We…

种群与进化 · 定量生物学 2020-04-01 Yusuke Himeoka , Namiko Mitarai

This paper reports the analysis of the dynamics of a model of pulse-coupled oscillators with global inhibitory coupling. The model is inspired by experiments on colonies of bacteria-embedded synthetic genetic circuits. The total population…

经典分析与常微分方程 · 数学 2014-11-07 Alex Blumenthal , Bastien Fernandez

We study the effect of correlations in generation times on the dynamics of population growth of microorganisms. We show that any non-zero correlation that is due to cell-size regulation, no matter how small, induces long-term oscillations…

种群与进化 · 定量生物学 2019-03-27 Farshid Jafarpour

Ecological and evolutionary dynamics have been historically regarded as unfolding at broadly separated timescales. However, these two types of processes are nowadays well documented to much more tightly than traditionally assumed,…

种群与进化 · 定量生物学 2021-11-17 José Camacho Mateu , Matteo Sireci , Miguel A. Muñoz

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…

种群与进化 · 定量生物学 2023-09-13 Arthur Genthon

The rate at which individual bacterial cells grow depends on the concentrations of cellular components such as ribosomes and proteins. These concentrations continuously fluctuate over time and are inherited from mother to daughter cells,…

种群与进化 · 定量生物学 2024-08-21 Yaïr Hein , Farshid Jafarpour

Mathematical models have been widely used to describe the collective movement of bacteria by chemotaxis. In particular, bacterial concentration waves traveling in a narrow channel have been experimentally observed and can be precisely…

偏微分方程分析 · 数学 2016-04-15 Casimir Emako , Charlène Gayrard , Axel Buguin , Luís Neves de Almeida , Nicolas Vauchelet

Biofilm communities of Bacillus subtilis bacteria have recently been shown to exhibit collective growth-rate oscillations mediated by electrochemical signaling to cope with nutrient starvation. These oscillations emerge once the colony…

细胞行为 · 定量生物学 2018-03-06 Rosa Martinez-Corral , Jintao Liu , Gurol Suel , Jordi Garcia-Ojalvo

Biological pattern formation is one of the most intriguing phenomena in nature. Simplest examples of such patterns are represented by travelling waves and stationary periodic patterns which occur during various biological processes…

偏微分方程分析 · 数学 2024-06-12 Valentina Bucur , Bakhtier Vasiev

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

生物物理 · 物理学 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet
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