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In this paper we propose a Stochastic model for studying a spatial cholera epidemic spreading where communities (Humans and Bacteria) are spatially distributed on a one-dimensional lattice and the bacteria are transported along a network…

Probability · Mathematics 2020-07-23 Boris Kouegou Kamen , Mac Jugal Nguepedja Nankep

The existence of travelling waves for a model of concentration waves of bacteria is investigated. The model consists in a kinetic equation for the biased motion of cells following a run-and-tumble process, coupled with two…

Analysis of PDEs · Mathematics 2016-07-05 Vincent Calvez

Collective cell migration lies at the intersection of developmental biology and non-equilibrium physics, where active processes give rise to emergent patterns that are biologically relevant. Here, we investigate dilatational modes--cycles…

Soft Condensed Matter · Physics 2025-07-23 Wenhui Tang , Mehrana R. Nejad , Adrian F. Pegoraro , L. Mahadevan , Ming Guo

We review recent work on the statistical mechanics of Von Neumann's growth model and discuss its application to cellular metabolic networks. In this context, we present a detailed analysis of the physiological scenario underlying optimality…

Disordered Systems and Neural Networks · Physics 2015-06-05 Andrea De Martino , Enzo Marinari , Andrea Romualdi

This article presents a physical biology approach to understanding organization and segregation of bacterial chromosomes. The author uses a "piston" analogy for bacterial chromosomes in a cell, which leads to a phase diagram for the…

Subcellular Processes · Quantitative Biology 2010-06-01 Suckjoon Jun

Peritrichous bacteria such as Escherichia coli swim in viscous fluids by forming a helical bundle of flagellar filaments. The filaments are spatially distributed around the cell body to which they are connected via a flexible hook. To…

Biological Physics · Physics 2019-06-19 Kenta Ishimoto , Eric Lauga

We propose a minimal mathematical framework to describe the go-or-grow dynamics of tumor cells comprising two phenotypically distinct populations. One population is migratory and undergoes linear diffusion, while the other proliferates in…

Analysis of PDEs · Mathematics 2026-02-27 Gopinath Sadhu , Philip K Maini , Mohit Kumar Jolly

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

During migration cells exhibit a rich variety of seemingly random migration patterns, which makes unraveling the underlying mechanisms that control cell migration a daunting challenge. For efficient migration cells require a mechanism for…

Biological Physics · Physics 2020-08-19 Jonathan E. Ron , Pascale Monzo , Nils Gauthier , Raphael Voituriez , Nir S. Gov

Over the last two decades, scientific literature has been blooming with various means of simulating epithelial cell colonies. Each of these simulations can be separated by their respective efficiency (expressed in terms of consumed…

Computational Physics · Physics 2022-12-20 Kevin Höllring , Ana-Sunčana Smith

Synchronization of mobile oscillators occurs in numerous contexts, including physical, chemical, biological and engineered systems. In vertebrate embryonic development, a segmental body structure is generated by a population of mobile…

Pattern Formation and Solitons · Physics 2024-06-18 Koichiro Uriu , Luis G. Morelli

A new kinetic model for the dynamics of myxobacteria colonies on flat surfaces is derived formally, and first analytical and numerical results are presented. The model is based on the assumption of hard binary collisions of two different…

Analysis of PDEs · Mathematics 2020-08-10 Sabine Hittmeir , Laura Kanzler , Angelika Manhart , Christian Schmeiser

We study the dynamics of phase synchronization in growing populations of discrete phase oscillatory systems when the division process is coupled to the distribution of oscillator phases. Using mean field theory, linear stability analysis,…

Statistical Mechanics · Physics 2015-06-16 Wen Yu , Kevin B. Wood

We study the transport of bacteria in a porous media modeled by a square channel containing one cylindrical obstacle via molecular dynamics simulations coupled to a lattice Boltzmann fluid. Our bacteria model is a rod-shaped rigid body…

Soft Condensed Matter · Physics 2020-11-30 Miru Lee , Christoph Lohrmann , Kai Szuttor , Harold Auradou , Christian Holm

Controlling the phases of matter is a challenge that spans from condensed materials to biological systems. Here, by imposing a geometric boundary condition, we study controlled collective motion of Escherichia coli bacteria. A circular…

Soft Condensed Matter · Physics 2017-09-01 Kazusa Beppu , Ziane Izri , Jun Gohya , Kanta Eto , Masatoshi Ichikawa , Yusuke T. Maeda

Proliferation is a defining feature of life. Through growth, division, and death, living systems consume energy and inject mass, breaking conservation laws and driving collective phenomena from biofilm formation to embryonic development.…

Statistical Mechanics · Physics 2026-03-25 Nicola Pellicciotta , Luca Angelani , Roberto Di Leonardo

A stochastic model for the growth of a virus in a cell population is introduced. The virus has two ways of spreading: either by allowing its host cell to live on and duplicate, or else by multiplying in large numbers within the host cell…

Cell Behavior · Quantitative Biology 2012-10-30 Jakob E. Björnberg , Tom Britton , Erik I. Broman , Eviatar Natan

Escherichia coli has long been used as a model organism due to the extensive experimental characterization of its pathways and molecular components. Take chemotaxis as an example, which allows bacteria to sense and swim in response to…

Cell Behavior · Quantitative Biology 2015-12-09 Gabriele Micali , Robert G. Endres

The maintenance of the proliferative cell niche is critical to epithelial tissue morphology and function. In this paper we investigate how current modelling methods can result in the erroneous loss of proliferative cells from the…

Tissues and Organs · Quantitative Biology 2021-09-01 Claire Miller , Edmund Crampin , James Osborne

We study a stochastic epidemic model consisting of elements (organisms in a community or cells in tissue) with fixed positions, in which damage or disease is transmitted by diffusing agents ("signals") emitted by infected individuals. The…

Populations and Evolution · Quantitative Biology 2015-06-05 Fernando P. Faria , Ronald Dickman