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An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

A diffusion-reaction model for the growth of bacterial colonies is presented. The often observed cooperative behavior developed by bacteria which increases their motility in adverse growth conditions is here introduced as a nonlinear…

Condensed Matter · Physics 2009-10-31 A. M. Lacasta , I. R. Cantalapiedra , C. E. Auguet , A. Penaranda , L. Ramirez-Piscina

During batch growth on mixtures of two growth-limiting substrates, microbes consume the substrates either sequentially or simultaneously. These growth patterns are manifested in all types of bacteria and yeasts. The ubiquity of these growth…

Cell Behavior · Quantitative Biology 2008-01-09 Jason T. Noel , Atul Narang

For proliferating cells subject to both division and death, how can one estimate the average generation number of the living population without continuous observation or a division-diluting dye? In this paper we provide a method for cell…

Quantitative Methods · Quantitative Biology 2017-04-28 Tom S. Weber , Leila Perie , Ken R. Duffy

Pattern formation in microbial colonies of competing strains under purely space-limited population growth has recently attracted considerable research interest. We show that the reproduction time statistics of individuals has a significant…

Populations and Evolution · Quantitative Biology 2015-06-30 Adnan Ali , Ellák Somfai , Stefan Grosskinsky

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

Within a continuous-time, stochastic model of single-cell size homeostasis, we study how the structure of feedback from size to growth rates and cell-cycle progression shapes overall size dynamics, both within and across cell cycles. We…

Cell Behavior · Quantitative Biology 2025-12-10 Ethan Levien , Jessica Rattray

Many single-cell observables are highly heterogeneous. A part of this heterogeneity stems from age-related phenomena: the fact that there is a nonuniform distribution of cells with different ages. This has led to a renewed interest in…

Quantitative Methods · Quantitative Biology 2018-04-18 Nash Rochman , Dan Popescu , Sean X. Sun

This paper studies the bounded confidence model on growing fully-mixed populations. In this model, in addition to the usual opinion clusters, significant secondary clusters of smaller size appear systematically, while those secondary…

Physics and Society · Physics 2024-02-20 Yérali Gandica , Guillaume Deffuant

The acid-mediated tumor invasion hypothesis proposes that altered glucose metabolism exhibited by the vast majority of tumors leads to increased acid (H+ ion) production which subsequently facilitates tumor invasion [1-3]. The…

Tissues and Organs · Quantitative Biology 2019-06-10 Ahmed M. Fouad

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

How are granular details of stochastic growth and division of individual cells reflected in smooth deterministic growth of population numbers? We provide an integrated, multiscale perspective of microbial growth dynamics by formulating a…

Cell walls define a cell shape in bacteria. They are rigid to resist large internal pressures, but remarkably plastic to adapt to a wide range of external forces and geometric constraints. Currently, it is unknown how bacteria maintain…

Soft Condensed Matter · Physics 2014-05-01 Ariel Amir , Farinaz Babaeipour , Dustin B. McIntosh , David R. Nelson , Suckjoon Jun

Rod-shaped bacteria, such as Escherichia coli, commonly live forming mounded colonies. They initially grow two-dimensionally on a surface and finally achieve three-dimensional growth. While it was recently reported that three-dimensional…

Soft Condensed Matter · Physics 2022-12-23 Takuro Shimaya , Kazumasa A. Takeuchi

Bacterial colonies are abundant on living and nonliving surfaces and are known to mediate a broad range of processes in ecology, medicine, and industry. Although extensively researched, from single cells to demographic scales, a…

Soft Condensed Matter · Physics 2018-09-14 Zhihong You , Daniel J. G. Pearce , Anupam Sengupta , Luca Giomi

In this paper we use an individual-based model and its associated kinetic equation to study the generation of long jumps in the motion of E. coli. These models relate the run-and-tumble process to the intracellular reaction where the…

Analysis of PDEs · Mathematics 2019-11-11 Weiran Sun , Min Tang , Xiaoru Xue

Most organisms grow in space, whether they are viruses spreading within a host tissue or invasive species colonizing a new continent. Evolution typically selects for higher expansion rates during spatial growth, but it has been suggested…

Populations and Evolution · Quantitative Biology 2022-05-18 Hyunseok Lee , Jeff Gore , Kirill S. Korolev

It has been proposed that during the early steps in the origin of life, small droplets could have formed via the segregation of molecules from complex mixtures by phase separation. These droplets could have provided chemical reaction…

Biological Physics · Physics 2017-04-26 David Zwicker , Rabea Seyboldt , Christoph A. Weber , Anthony A. Hyman , Frank Jülicher

Recently, unusual and strikingly beautiful seahorse-like growth patterns have been observed under conditions of quasi-two-dimensional growth. These `S'-shaped patterns strongly break two-dimensional inversion symmetry; however such broken…

Condensed Matter · Physics 2009-10-31 I. M. Sandler , G. S. Canright , H. J. Gao , S. Pang , Z. Q. Xue , Z. Y. Zhang

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