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A ubiquitous feature of living cells is their growth over time followed by division into daughter cells. How isogenic cell populations maintain size homeostasis, i.e., a narrow distribution of cell size, is an intriguing fundamental…

Cell Behavior · Quantitative Biology 2016-06-03 César Augusto Vargas-García , Mohammad Soltani , Abhyudai Singh

Bacterial swarming is a rapid mass-migration, in which thousands of cells spread collectively to colonize a surface. Physically, swarming is a natural example of active particles that use energy to generate motion. Accordingly,…

Soft Condensed Matter · Physics 2019-11-14 Avraham Be`er , Bella Ilkanaiv , Renan Gross , Daniel B. Kearns , Sebastian Heidenreich , Markus Bär , Gil Ariel

The field of active matter explores the behaviors of self propelled agents out of equilibrium, with active suspensions, such as swimming bacteria in solutions, serving as impactful models. These systems exhibit spatio-temporal patterns akin…

Soft Condensed Matter · Physics 2025-08-26 Pratikshya Jena , Shradha Mishra

We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distributions, known to be anomalous, using hydrodynamics. The…

Statistical Mechanics · Physics 2025-06-06 Takato Yoshimura , Žiga Krajnik

Bacterial cells exhibit a diverse array of shapes and sizes, largely governed by their cell walls in conjunction with cytoskeletal proteins and internal turgor pressure. The present study develops a theoretical framework for modeling the…

Biological Physics · Physics 2024-09-25 Joydip Chaudhuri

The transition from localized to systemic spreading of bacteria, viruses and other agents is a fundamental problem that spans medicine, ecology, biology and agriculture science. We have conducted experiments and simulations in a simple…

Populations and Evolution · Quantitative Biology 2009-11-10 Anna L. Lin , Bernward A. Mann , Gelsy Torres-Oviedo , Bryan Lincoln , Josef Kas , Harry L. Swinney

We have developed and implemented a numerical evolution scheme for a class of stochastic problems in which the temporal evolution occurs on widely-separated time scales, and for which the slow evolution can be described in terms of a small…

Computational Physics · Physics 2009-09-29 S. Setayeshgar , C. W. Gear , H. G. Othmer , I. G. Kevrekidis

The emergent spatial patterns generated by growing bacterial colonies have been the focus of intense study in physics during the last twenty years. Both experimental and theoretical investigations have made possible a clear qualitative…

Statistical Mechanics · Physics 2011-08-10 Juan A. Bonachela , Carey D. Nadell , Joao B. Xavier , Simon A. Levin

We examine a lattice model of tumor growth where survival of tumor cells depends on the supplied nutrients. When such a supply is random, the extinction of tumors belongs to the directed percolation universality class. However, when the…

Statistical Mechanics · Physics 2015-05-30 Antonio Luis Ferreira , Dorota Lipowska , Adam Lipowski

Bacteria can adjust the structure of colonies and biofilms to enhance their survival rate under external stress. Here, we explore the link between bacterial interaction forces and colony structure. We show that the activity of extracellular…

The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from the corresponding coupled partial…

Pattern Formation and Solitons · Physics 2010-03-30 Xin-She Yang

Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation models of extracellular chemical signals. In this paper, travelling wave properties of hybrid models of bacterial chemotaxis are…

Biological Physics · Physics 2013-02-13 Benjamin Franz , Chuan Xue , Kevin J. Painter , Radek Erban

Bacteria are highly adaptive microorganisms that thrive in a wide range of growth conditions via changes in cell morphologies and macromolecular composition. How bacterial morphologies are regulated in diverse environmental conditions is a…

Cell Behavior · Quantitative Biology 2021-10-26 Diana Serbanescu , Nikola Ojkic , Shiladitya Banerjee

We study a cellular automaton model, which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site after each timestep. Unit amount of energy is randomly added…

Condensed Matter · Physics 2009-10-22 T. C. Chan , H. F. Chau , K. S. Cheng

We develop a stochastic framework for viral population dynamics at the cellular level that explicitly incorporates the replication cycle with random stage durations. The model is formulated as a structured birth-death process coupled with a…

Populations and Evolution · Quantitative Biology 2026-05-13 Seong Jun Park

A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, i.e. the tips of developing neurites. The model accounts for the influence of both attractive and repulsive chemical cues, which are emitted by the…

Analysis of PDEs · Mathematics 2025-11-04 Noah Geltner , Ansgar Jüngel

Uncovering the quantitative laws that govern the growth and division of single cells remains a major challenge. Using a unique combination of technologies that yields unprecedented statistical precision, we find that the sizes of individual…

Microbial consortia offer significant biotechnological advantages over monocultures for bioproduction. However, industrial deployment is hampered by the lack of scalable architectures to ensure stable coexistence between populations.…

Systems and Control · Electrical Eng. & Systems 2025-11-12 Sara Maria Brancato , Davide Salzano , Davide Fiore , Francesco De Lellis , Giovanni Russo , Mario di Bernardo

An individual-based model of stochastic branching is proposed and studied, in which point particles drift in $\bar{\mathds{R}}_{+}:=[0,+\infty)$ towards the origin (edge) with unit speed, where each of them splits into two particles that…

Dynamical Systems · Mathematics 2019-10-30 Yuri Kozitsky

We study colonies of non-motile, rod-shaped bacteria growing on solid substrates. In our model, bacteria interact purely mechanically, by pushing each other away as they grow, and consume a diffusing nutrient. We show that mechanical…

Biological Physics · Physics 2015-06-15 F. D. C. Farrell , O. Hallatschek , D. Marenduzzo , B. Waclaw
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