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We investigate a mechanism for the polar localization of proteins in bacteria. We focus on the MinCD/DivIVA system regulating division site placement in the rod-shaped bacterium Bacillus subtilis. Our model relies on a combination of…

Subcellular Processes · Quantitative Biology 2007-05-23 Martin Howard

Spatial organization of proteins in cells is important for many biological functions. In general, the nonlinear, spatially coupled models for protein-pattern formation are only accessible to numerical simulations, which has limited insight…

Pattern Formation and Solitons · Physics 2021-04-16 Fridtjof Brauns , Jacob Halatek , Erwin Frey

We review the key role played by mathematical modelling in elucidating two centre-finding patterning systems in E. coli: midcell division positioning by the MinCDE system and DNA partitioning by the ParABS system. We focus particularly on…

Subcellular Processes · Quantitative Biology 2019-01-21 Sean M. Murray , Martin Howard

We combine stroboscopic laser excitation with stochastic photoactivation and super-resolution fluorescence imaging. This makes it possible to record hundreds of diffusion trajectories of small protein molecules in single bacterial cells…

Quantitative Methods · Quantitative Biology 2010-03-11 Brian P. English , Arash Sanamrad , Stoyan Tankov , Vasili Hauryliuk , Johan Elf

The distributions of many proteins in rod-shaped bacteria are far from homogenous. Often they accumulate at the cell poles or in the cell center. At the same time, the copy number of proteins in a single cell is relatively small making the…

Subcellular Processes · Quantitative Biology 2014-05-08 L. Wettmann , M. Bonny , K. Kruse

Navigation of microorganisms is controlled by internal processes ultimately sensitive to mechanical or chemical signaling encountered along the path. In many natural environments, such as porous soils or physiological ducts, motile species…

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

Synchronization plays a crucial role in the dynamics of living organisms, from fireflies flashing in unison to pacemaker cells that jointly generate heartbeats. Uncovering the mechanism behind these phenomena requires an understanding of…

Adaptation and Self-Organizing Systems · Physics 2024-05-16 Aleksandre Japaridze , Victor Struijk , Kushal Swamy , Irek Roslon , Oriel Shoshani , Cees Dekker , Farbod Alijani

We propose a new type of traveling wave pattern, one that can adapt to the size of physical system in which it is embedded. Such a system arises when the initial state has an instability that extends down to zero wavevector, connecting at…

Subcellular Processes · Quantitative Biology 2017-01-04 David A. Kessler , Herbert Levine

Chemotaxis receptors in E. coli form clusters at the cell poles and also laterally along the cell body, and this clustering plays an important role in signal transduction. Recently, experiments using flourrescence imaging have shown that,…

Statistical Mechanics · Physics 2008-11-29 Hui Wang , Ned S. Wingreen , Ranjan Mukhopadhyay

Aggregates of misfolded proteins are a hallmark of many age-related diseases. Recently, they have been linked to aging of Escherichia coli (E. coli) where protein aggregates accumulate at the old pole region of the aging bacterium. Because…

Hydrodynamics and confinement dominate bacterial mobility near solid or air-water boundaries, causing flagellated bacteria to move in circular trajectories. This phenomenon results from the counter-rotation between the bacterial body and…

Biological Physics · Physics 2018-10-09 George Araujo , Weijie Chen , Sridhar Mani , Jay X. Tang

Dynamic patterning of specific proteins is essential for the spatiotemporal regulation of many important intracellular processes in procaryotes, eucaryotes, and multicellular organisms. The emergence of patterns generated by interactions of…

Biological Physics · Physics 2018-05-11 Jacob Halatek , Fridtjof Brauns , Erwin Frey

Reaction-diffusion systems have been widely used to study spatio-temporal phenomena in cell biology, such as cell polarization. Coupled bulk-surface models naturally include compartmentalization of cytosolic and membrane-bound polarity…

Pattern Formation and Solitons · Physics 2020-08-11 Frédéric Paquin-Lefebvre , Bin Xu , Kelsey L. DiPietro , Alan E. Lindsay , Alexandra Jilkine

Motile bacteria can migrate along chemical gradients in a process known as chemotaxis. When exposed to uniform environmental stress, Escherichia coli cells coordinate their chemotactic responses to form millimeter-sized condensates…

Biological Physics · Physics 2025-05-02 Nir Livne , Ady Vaknin , Oded Agam

The bacterium E.Coli swims in a zig-zag manner, in a series of straight runs and tumbles occurring alternately, with the run-durations dependent on the local spatial gradient of chemo-attractants/repellants. This enables the organism to…

Cell Behavior · Quantitative Biology 2008-12-31 Melissa Reneaux , Manoj Gopalakrishnan

To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

Cell Behavior · Quantitative Biology 2015-06-15 Yusuke Goto , Kunihiko Kaneko

Cell membranes phase separate into ordered ${\rm L_o}$ and disordered ${\rm L_d}$ domains depending on their compositions. This membrane compartmentalization is heterogeneous and regulates the localization of specific proteins related to…

Soft Condensed Matter · Physics 2023-08-11 Ken Sakamoto , Takuma Akimoto , Mayu Muramatsu , Mark S. P. Sansom , Ralf Metzler , Eiji Yamamoto

We demonstrate 'differential dynamic microscopy' (DDM) for the fast, high throughput characterization of the dynamics of active particles. Specifically, we characterize the swimming speed distribution and the fraction of motile cells in…

Quantitative Methods · Quantitative Biology 2011-07-12 Laurence G. Wilson , Vincent A. Martinez , Jana Schwarz-Linek , J. Tailleur , Peter N. Pusey , Gary Bryant , Wilson C. K. Poon

We analyze the governing partial differential equations of a model of pole-to-pole oscillations of the MinD protein in a bacterial cell. The sensitivity to extrinsic noise in the parameters of the model is explored. Our analysis shows that…

Numerical Analysis · Mathematics 2016-10-06 Andreas Hellander , Jan Klosa , Per Lötstedt , Shev MacNamara