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Open AccessJournal ArticleDOI

Models of Self-Organizing Bacterial Communities and Comparisons with Experimental Observations

TLDR
A critical anal ysis of the validity of the model based on recent observations of the swarming bacteria which show that nutrients are not limitating but distinct subpopulations growing at different rates are lik ely present is presented.
Abstract
Bacillus subtilis swarms rapidly over the surface of a synthetic medium creating remarkable hyperbranched dendritic communities. Models to reproduce such effects have been proposed under the form of parabolic Partial Differential Equations representing the dynamics of the active cells (both motile and multiplying), the passive cells (non-motile and non-growing) and nutrient concentration. We test the numerical behavior of such models and compare them to relevant experimental data together with a critical analysis of the validity of the models based on recent observations of the swarming bacteria which show that nutrients are not limitating but distinct subpopulations growing at different rates are likely present.

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Travelling plateaus for a hyperbolic Keller–Segel system with attraction and repulsion: existence and branching instabilities

TL;DR: In this paper, the authors proposed a functional analysis framework for the hyperbolic Keller-Segel system with logistic sensitivity, where repulsive and attractive forces, acting on a conservative system, create stable travelling patterns or branching instabilities.
Journal ArticleDOI

The effects of chemical interactions and culture history on the colonization of structured habitats by competing bacterial populations

TL;DR: The colonization of spatially structure habitats by two interacting populations can lead to the formation of complex, but reproducible, spatiotemporal patterns and it is shown that chemical interactions between two populations cause them to remain spatially segregated while they compete for habitat space.
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Waves for a hyperbolic keller–segel model and branching instabilities

TL;DR: A new class of models is presented which is compatible with the experimental observations and which predict branching instabilities and does not use nutrient limitation and is based on numerical simulations.
Journal ArticleDOI

The role of intracellular signaling in the stripe formation in engineered Escherichia coli populations

TL;DR: A detailed hybrid model that treats each cell as an individual particle and incorporates intracellular signaling via an internal ODE system is developed and a mean-field PDE model is derived from the hybrid model using asymptotic analysis.
References
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Journal ArticleDOI

Model for Chemotaxis

TL;DR: The chemotactic response of unicellular microscopic organisms is viewed as analogous to Brownian motion, and a macroscopic flux is derived which is proportional to the chemical gradient.
Book

Transport Equations in Biology

TL;DR: In this paper, the renewal equation is used to describe the structure of a population from a point of view of population balance equations, which is an asymptotic view of the population dynamics.
Journal ArticleDOI

The branching programme of mouse lung development

TL;DR: This work presents the complete three-dimensional branching pattern and lineage of the mouse bronchial tree, reconstructed from an analysis of hundreds of developmental intermediates, and proposes that each mode of branching is controlled by a genetically encoded subroutine, a series of local patterning and morphogenesis operations, which are themselvescontrolled by a more global master routine.
Journal Article

Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

TL;DR: The Keller-Segel system describes the collective motion of cells which are attracted by a chemical substance and are able to emit it in its simplest form it is a conservative drift-diffusion equation coupled to an elliptic equation for the chemo-attractant concentration as mentioned in this paper.
Journal ArticleDOI

Autocatalytic reactions in the isothermal, continuous stirred tank reactor: Isolas and other forms of multistability

TL;DR: In this paper, the authors consider the simple case of uniform temperatures and concentrations in the isothermal CSTR and the simplest of reaction schemes: (i) quadratic autocatalysis (A + B →2 B ); and (ii) cubic autoccatalysis ( A + 2 B →3 B ).
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