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Biofilms are ubiquitous macro-colonies of bacteria that develop at various interfaces (solid-liquid, solid-gas or liquid-gas). The formation of biofilms starts with the attachment of individual bacteria to an interface, where they…

Biological Physics · Physics 2016-11-03 Sarah Trinschek , Karin John , Uwe Thiele

This paper presents an interesting experimental example of voter-model statistics in biology. In recent work on mouse tail-skin, where proliferating cells are confined to a two-dimensional layer, we showed that cells proliferate and…

Biological Physics · Physics 2009-11-13 Allon M. Klein , David P. Doupe , Philip H. Jones , Benjamin D. Simons

Bacteria can form a great variety of spatially heterogeneous cell density patterns, ranging from simple concentric rings to dynamical spiral waves appearing in growing colonies. These pattern formation phenomena are important as they…

Populations and Evolution · Quantitative Biology 2025-01-17 John S. Chuang , Riccardo Rao , Stanislas Leibler

This note works out an advection-diffusion approximation to the density of a population of E. coli bacteria undergoing chemotaxis in a one-dimensional space. Simulations show the high quality of predictions under a shallow-gradient regime.

Quantitative Methods · Quantitative Biology 2013-02-12 Zahra Aminzare , Eduardo D. Sontag

This tutorial covers the emerging field of coarse-grained cellular growth modeling, and aims to bridge the gap between theoretical foundations and practical application. By adopting an original "cookbook" approach, it is designed to offer a…

Bacteria often form surface-bound communities, embedded in a self-produced extracellular matrix, called biofilms. Quantitative studies of their growth have typically focused on unconfined expansion above solid or semi-solid surfaces,…

Soft Condensed Matter · Physics 2022-05-11 George T. Fortune , Nuno M. Oliveira , Raymond E. Goldstein

Many organisms form colonies for a transient period of time to withstand environmental pressure. Bacterial biofilms are a prototypical example of such behavior. Despite significant interest across disciplines, physical mechanisms governing…

Soft Condensed Matter · Physics 2015-09-30 Christoph Weber , Yen Ting Lin , Nicolas Biais , Vasily Zaburdaev

The extracellular matrix of biofilms presents a dense and intricate architecture. Numerous biophysical properties of the matrix surrounding microbial cells contribute to the heterogeneity of biofilms and their functions at the microscale.…

Biomolecules · Quantitative Biology 2025-10-24 Raghu K. Moorthy , Eoin Casey

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Sampling strategies in diffusion models are critical to molecular generation yet remain relatively underexplored. In this work, we investigate a broad spectrum of sampling methods beyond conventional defaults and reveal that sampling choice…

Chemical Physics · Physics 2025-06-24 Yuyan Ni , Shikun Feng , Wei-Ying Ma , Zhi-Ming Ma , Yanyan Lan

During colony growth, complex interactions regulate the bacterial orientation, leading to the formation of large-scale ordered structures, including topological defects and microdomains. These structures may benefit bacterial strains,…

Biological Physics · Physics 2024-04-10 Mustafa Başaran , Y. Ilker Yaman , Tevfik Can Yuce , Roman Vetter , Askin Kocabas

In this work, we study a model of the chemostat where the species are present in two forms, isolated bacteria and under an aggregated form like attached bacteria or bacteria in flocks. We show that our general model contains a lot of models…

Dynamical Systems · Mathematics 2012-03-13 Radhoaune Fekih-Salem , Jérôme Harmand , Claude Lobry , Alain Rapaport , Tewfik Sari

Bacteria can spontaneously develop collective motions by aligning their motions in dense systems. Here, we show that bacteria can also respond collectively to an alternating electrical field and form dynamic clusters oscillating at the same…

Soft Condensed Matter · Physics 2022-10-11 Mei Mei Bao , Isaiah Eze Igwe , Kang Chen , Tian Hui Zhang

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

We present a simple mathematical model that captures the evolutionary capabilities of a prebiotic compartment or protocell. In the model the protocell contains an autocatalytic set whose chemical dynamics is coupled to the growth-division…

Populations and Evolution · Quantitative Biology 2023-10-31 Angad Yuvraj Singh , Sanjay Jain

Fungal simulation and control are considered crucial techniques in Bio-Art creation. However, coding algorithms for reliable fungal simulations have posed significant challenges for artists. This study equates fungal morphology simulation…

Graphics · Computer Science 2024-09-10 Kexin Wang , Ivy He , Jinke Li , Ali Asadipour , Yitong Sun

Chemical reactions inside cells are generally considered to happen within fixed-size compartments. Needless to say, cells and their compartments are highly dynamic. Thus, such stringent assumptions may not reflect biochemical reality, and…

Quantitative Methods · Quantitative Biology 2016-02-17 Atiyo Ghosh , Tatiana T. Marquez-Lago

The stochastic discrete space-time model of an immune response on tumor spreading in a two-dimensional square lattice has been developed. The immunity-tumor interactions are described at the cellular level and then transferred into the…

comp-gas · Physics 2007-05-23 Margarita Voitikova

Living cells maintain size homeostasis by actively compensating for size fluctuations. Here, we present two stochastic maps that unify phenomenological models by integrating fluctuating single-cell growth rates and size-dependent noise…

Populations and Evolution · Quantitative Biology 2026-01-09 Arthur Genthon , Philipp Thomas

In nature, microorganisms must often cope with hostile environmental conditions. To do so they have developed sophisticated cooperative behavior and intricate communication capabilities, such as: direct cell-cell physical interactions via…

Condensed Matter · Physics 2007-05-23 Eshel Ben-Jacob , Inon Cohen , Ido Golding , Yonathan Kozlovsky