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A model for the aerobic and anaerobic growth of Escherichia coli (HB101 K12 pGLO) depending on the concentration of oxygen and DOC as substrate has been developed based on laboratory batch experiments. Using inverse modelling to obtain…

Cell Behavior · Quantitative Biology 2014-08-13 Pavel Hron , Daniel Jost , Peter Bastian , Claudia Gallert , Josef Winter , Olaf Ippisch

Cell colonies of bacteria, tumour cells and fungi, under nutrient limited growth conditions, exhibit complex branched growth patterns. In order to investigate this phenomenon we present a simple hybrid cellular automaton model of cell…

Biological Physics · Physics 2007-05-23 P. Gerlee , A. R. A Anderson

Escherichia coli swims using flagella activated by rotary motors. The direction of rotation of the motors is indirectly regulated by the binding of a single messenger protein. The conformational spread model has been shown to accurately…

Quantitative Methods · Quantitative Biology 2017-03-08 Alberto Pezzotta , Matteo Adorisio , Antonio Celani

Segregation of populations is a key question in evolution theory. One important aspect is the relation between spatial organization and the population's composition. Here we study a specific example -- sectors in expanding bacterial…

Condensed Matter · Physics 2009-10-31 Ido Golding , Inon Cohen , Eshel Ben-Jacob

We model the growth of a cell population using a piecewise deterministic Markov branching tree. In this model, each cell splits into two offspring at a division rate $B(x)$, which depends on its size $x$. The size of each cell increases…

Probability · Mathematics 2024-09-06 Nathalie Krell

Cellular differentiation in a developping organism is studied via a discrete bistable reaction-diffusion model. A system of undifferentiated cells is allowed to receive an inductive signal emenating from its environment. Depending on the…

Pattern Formation and Solitons · Physics 2009-11-10 Gabor Fath , Zbigniew Domanski

In this work we approach cell migration under a large-scale assumption, so that the system reduces to a particle in motion. Unlike classical particle models, the cell displacement results from its internal activity: the cell velocity is a…

Cell Behavior · Quantitative Biology 2018-08-02 Christèle Etchegaray , Nicolas Meunier

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

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…

Analysis of PDEs · Mathematics 2023-01-09 Marie Doumic , Marc Hoffmann

We propose a biophysical model of Escherichia coli that predicts growth rate and an effective cellular composition from an effective, coarse-grained representation of its genome. We assume that E. coli is in a state of balanced exponential…

Molecular Networks · Quantitative Biology 2010-08-05 Arbel D. Tadmor , Tsvi Tlusty

We propose a model of chemostat where the bacterial population is individually-based, each bacterium is explicitly represented and has a mass evolving continuously over time. The substrate concentration is represented as a conventional…

Probability · Mathematics 2013-11-08 Fabien Campillo , Coralie Fritsch

Experiments were performed to test the effect of an electric field on growing E-coli cultures. Cell growing dishes were fitted with platinum wires to create a potential drop across the dish. Water diluted E-coli cultures were brushed across…

Biological Physics · Physics 2017-09-11 Eshel Faraggi

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

Rippling patterns of myxobacteria appear in starving colonies before they aggregate to form fruiting bodies. These periodic traveling cell density waves arise from the coordination of individual cell reversals, resulting from an internal…

Statistical Mechanics · Physics 2016-01-26 L. L. Bonilla , A. Glavan , A. Marquina

A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai

The collective motion of bacterial cells in a shallow circular pool is systematically studied using the bacterial species $Bacillus$ $subtilis$. The ratio of cell length to pool diameter (i.e., the reduced cell length) ranges from 0.06 to…

Biological Physics · Physics 2015-10-06 Jun-ichi Wakita , Shota Tsukamoto , Ken Yamamoto , Makoto Katori , Yasuyuki Yamada

Synchronization plays a crucial role in the dynamics of living organisms, from fireflies flashing in unison to pacemaker cells that jointly generate heartbeats. Uncovering the mechanism behind these phenomena requires an understanding of…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Aleksandre Japaridze , Victor Struijk , Kushal Swamy , Irek Roslon , Oriel Shoshani , Cees Dekker , Farbod Alijani

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…

Biological Physics · Physics 2015-06-19 P. Patricio , P. L. Almeida , R. Portela , R. G. Sobral , I. R. Grilo , T. Cidade , C. R. Leal

Chemical reactions in cell are subject to intense stochastic fluctuations. An important question is how the fundamental physiological behavior of cell is kept stable against those noisy perturbations. In this paper a stochastic model of…

Molecular Networks · Quantitative Biology 2009-11-13 Yurie Okabe , Masaki Sasai

Cells maintain a stable size as they grow and divide. Inspired by the available experimental data, most proposed models for size homeostasis assume size control mechanisms that act on a timescale of one generation. Such mechanisms lead to…

Biological Physics · Physics 2023-05-25 Motasem ElGamel , Harsh Vashistha , Hanna Salman , Andrew Mugler