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The Min system in Escherichia coli directs division to the centre of the cell through pole-to-pole oscillations of the MinCDE proteins. We present a one dimensional stochastic model of these oscillations which incorporates membrane…

Subcellular Processes · Quantitative Biology 2007-05-23 Filipe Tostevin , Martin Howard

During division it is of primary importance for a cell to correctly determine the site of cleavage. The bacterium Escherichia coli divides in the center, producing two daughter cells of equal size. Selection of the center as the correct…

Subcellular Processes · Quantitative Biology 2007-05-23 G. Meacci , K. Kruse

The spatiotemporal oscillations of the Min proteins in the bacterium Escherichia coli play an important role in cell division. A number of different models have been proposed to explain the dynamics from the underlying biochemistry. Here,…

Subcellular Processes · Quantitative Biology 2013-05-29 Peter Borowski , Eric N. Cytrynbaum

We use the oscillating Min proteins of Escherichia coli as a prototype system to illustrate the current state and potential of modeling protein dynamics in space and time. We demonstrate how a theoretical approach has led to striking new…

Subcellular Processes · Quantitative Biology 2007-05-23 Martin Howard , Karsten Kruse

Positioning of the midcell division plane within the bacterium E. coli is controlled by the min system of proteins: MinC, MinD and MinE. These proteins coherently oscillate from end to end of the bacterium. We present a reaction--diffusion…

Soft Condensed Matter · Physics 2009-11-07 Martin Howard , Andrew D. Rutenberg , Simon de Vet

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

In the bacterium Escherichia coli, selection of the division site involves pole-to-pole oscillations of the proteins MinD and MinE. Different oscillation mechanisms based on cooperative effects between Min-proteins and on the exchange of…

Subcellular Processes · Quantitative Biology 2010-08-17 G. Meacci , J. Ries , E. Fischer-Friedrich , N. Kahya , P. Schwille , K. Kruse

Self-organization of proteins in space and time is of crucial importance for the functioning of cellular processes. Often, this organization takes place in the presence of strong random fluctuations due to the small number of molecules…

Subcellular Processes · Quantitative Biology 2010-09-22 Elisabeth Fischer-Friedrich , Giovanni Meacci , Joe Lutkenhaus , Hugues Chate , Karsten Kruse

Isogenic Escherichia coli growing exponentially in a constant environment display large variation in growth-rates, division-sizes and generation-times. It is unclear how these seemingly random cell cycles can be reconciled with the precise…

Quantitative Methods · Quantitative Biology 2015-10-14 Mats Wallden , David Fange , Özden Baltekin , Johan Elf

In E. coli, accurate cell division depends upon the oscillation of Min proteins from pole to pole. We provide a model for the polar localization of MinD based only on diffusion, a delay for nucleotide exchange, and different rates of…

Subcellular Processes · Quantitative Biology 2009-11-10 Rahul V. Kulkarni , Kerwyn Casey Huang , Morten Kloster , Ned S. Wingreen

The data we analyze derives from the observation of numerous cells of the bacterium Escherichia coli (E. coli) growing and dividing. Single cells grow and divide to give birth to two daughter cells, that in turn grow and divide. Thus, a…

Applications · Statistics 2015-09-18 Bernard Delyon , Benoîte de Saporta , Nathalie Krell , Lydia Robert

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…

Populations and Evolution · Quantitative Biology 2024-08-05 Yaïr Hein , Farshid Jafarpour

Ongoing sub-cellular oscillation of Min proteins is required to block minicelling in E. coli. Experimentally, Min oscillations are seen in newly divided cells and no minicells are produced. In model Min systems many daughter cells do not…

Subcellular Processes · Quantitative Biology 2009-11-13 Supratim Sengupta , Andrew D. Rutenberg

Cells actively regulate their size during the cell cycle to maintain volume homeostasis across generations. While various mathematical models of cell size regulation have been proposed to explain how this is achieved, relating these models…

Quantitative Methods · Quantitative Biology 2025-04-11 Kaan Öcal , Michael P. H. Stumpf

In this paper, experimental data is presented and a simple model is developed for the time evolution of a F-amp \textit{E. Coli} culture population. In general, the bacteria life cycle as revealed by monitoring a culture's population…

Populations and Evolution · Quantitative Biology 2019-12-19 Atanu Chatterjee , Nicholas Mears , Abigail Charest , Saad Algarni , Germano Iannnacchione

We have developed a 3D off-lattice stochastic polymerization model to study subcellular oscillation of Min proteins in the bacteria Escherichia coli, and used it to investigate the experimental phenomenon of Min oscillation stuttering.…

Subcellular Processes · Quantitative Biology 2015-06-05 Supratim Sengupta , Julien Derr , Anirban Sain , Andrew D. Rutenberg

The spatiotemporal oscillation patterns of the proteins MinD and MinE are used by the bacterium E. coli to sense its own geometry. Strikingly, both computer simulations and experiments have recently shown that for the same geometry of the…

Subcellular Processes · Quantitative Biology 2016-10-18 Artemij Amiranashvili , Nikolas D Schnellbächer , Ulrich S Schwarz

Recent imaging data for single bacterial cells reveal that their mean sizes grow exponentially in time and that their size distributions collapse to a single curve when rescaled by their means. An analogous result holds for the…

Statistical Mechanics · Physics 2014-07-14 Srividya Iyer-Biswas , Gavin E. Crooks , Norbert F. Scherer , Aaron R. Dinner

The spatiotemporal coordination and regulation of cell proliferation is fundamental in many aspects of development and tissue maintenance. Cells have the ability to adapt their division rates in response to mechanical constraints, yet we do…

Quantitative Methods · Quantitative Biology 2024-04-25 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

Bacteria are prolific at colonizing diverse surfaces under a widerange of environmental conditions, and exhibit fascinating examples of self-organization across scales. Though it has recently attracted considerable interest, the role of…

Soft Condensed Matter · Physics 2024-03-25 M. T. Khan , J. Cammann , A. Sengupta , E. Renzi , M. G. Mazza
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