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Certain bacteria form filamentous colonies when the cells fail to separate after dividing. In Bacillus subtilis, Bacillus thermus, and cyanobacteria, the filaments can wrap into complex supercoiled structures as the cells grow. The…

Soft Condensed Matter · Physics 2010-05-26 Charles W. Wolgemuth , Raymond E. Goldstein , Thomas R. Powers

In this work, we introduce a spatial branching process to model the growth of the mycelial network of a filamentous fungus. In this model, each filament is described by the position of its tip, the trajectory of which is solution to a…

Probability · Mathematics 2025-11-26 Lena Kuwata

The growth of bacterial flagellar filaments is a self-assembly process where flagellin molecules are transported through the narrow core of the flagellum and are added at the distal end. To model this situation, we generalize a growth…

Biological Physics · Physics 2015-12-18 Maximilian Schmitt , Holger Stark

Filamentous cyanobacteria can show fascinating examples of nonequilibrium self-organization, which however are not well-understood from a physical perspective. We investigate the motility and collective organization of colonies of these…

Soft Condensed Matter · Physics 2023-10-20 Mixon K. Faluweki , Jan Cammann , Marco G. Mazza , Lucas Goehring

Space-saving design is a requirement that is encountered in biological systems and the development of modern technological devices alike. Many living organisms dynamically pack their polymer chains, filaments or membranes inside of…

Soft Condensed Matter · Physics 2014-07-18 Roman Vetter , Falk K. Wittel , Hans J. Herrmann

Growth-fragmentation processes model systems of cells that grow continuously over time and then fragment into smaller pieces. Typically, on average, the number of cells in the system exhibits asynchronous exponential growth and, upon…

Probability · Mathematics 2023-06-08 Emma Horton , Alexander R. Watson

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

Biofilms are antibiotic-resistant bacterial aggregates that grow on moist surfaces and can trigger hospital-acquired infections. They provide a classical example in biology where the dynamics of cellular communities may be observed and…

Biological Physics · Physics 2015-02-24 D. R. Espeso , A. Carpio , B. Einarsson

We systematically explore the self-assembly of semi-flexible polymers in deformable spherical confinement across a wide regime of chain stiffness, contour lengths and packing fractions by means of coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2021-07-12 Maxime M. C. Tortora , Daniel Jost

To survive starvation, Bacillus subtilis forms durable spores. After asymmetric cell division, the septum grows around the forespore in a process called engulfment, but the mechanism of force generation is unknown. Here, we derived a novel…

Subcellular Processes · Quantitative Biology 2017-10-16 Li-Wei Yap , Robert G. Endres

Growth and folding in one-layered model tissue sheets are studied in a stochastic, lattice-free single cell model which considers the discrete cellular structure of the tissue, and a coarse grained analytical approach. The polarity of the…

Statistical Mechanics · Physics 2007-05-23 Dirk Drasdo

We present a geometric framework to study the growth-division dynamics of cells and protocells, and demonstrate that self-reproduction emerges only when a system's growth dynamics and division strategy are mutually compatible. Using several…

Adaptation and Self-Organizing Systems · Physics 2025-11-21 Parth Pratim Pandey , Sanjay Jain

Step meandering due to a deterministic morphological instability on vicinal surfaces during growth is studied. We investigate nonlinear dynamics of a step model with asymmetric step kinetics, terrace and line diffusion, by means of a…

Statistical Mechanics · Physics 2009-10-31 F. Gillet , O. Pierre-Louis , C. Misbah

The fragmentation of filaments in molecular clouds has attracted a lot of attention as there seems to be a relation between the evolution of filaments and star formation. The study of the fragmentation process has been motivated by simple…

Astrophysics of Galaxies · Physics 2018-03-07 R. -A. Chira , J. Kainulainen , J. C. Ibàñez-Mejía , Th. Henning , M. -M. Mac Low

A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

The evolutionary success of bacteria lies in their ability to form complex surface-associated communities in diverse biophysical settings. However, it remains poorly understood how compliance of soft surfaces, measured in terms of their…

Soft Condensed Matter · Physics 2025-08-05 Garima Rani , Anupam Sengupta

We present an analytically solvable model for self-assembly of a molecular complex on a filament. The process is driven by a seed molecule that undergoes facilitated diffusion, which is a search strategy that combines diffusion in…

Statistical Mechanics · Physics 2015-11-04 Ziya Kalay

Cellular self-assembly and organization are fundamental steps for the development of biological tissues. In this paper, within the framework of a cellular automata model, we address how an ordered tissue pattern spontaneously emerges from a…

Biological Physics · Physics 2019-10-24 Debangana Mukhopadhyay , Rumi De

Various bacterial strains (e.g. strains belonging to the genera Bacillus, Paenibacillus, Serratia and Salmonella) exhibit colonial branching patterns during growth on poor semi-solid substrates. These patterns reflect the bacterial…

Condensed Matter · Physics 2009-10-31 Yonathan Kozlovsky , Inon Cohen , Ido Golding , Eshel Ben-Jacob
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