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Self-organization of proteins in space and time is of crucial importance for the functioning of cellular processes. Often, this organization takes place in the presence of strong random fluctuations due to the small number of molecules…

Subcellular Processes · Quantitative Biology 2010-09-22 Elisabeth Fischer-Friedrich , Giovanni Meacci , Joe Lutkenhaus , Hugues Chate , Karsten Kruse

Protein pattern formation is essential for the spatial organization of many intracellular processes like cell division, flagellum positioning, and chemotaxis. A prominent example of intracellular patterns are the oscillatory pole-to-pole…

Biological Physics · Physics 2018-02-21 Erwin Frey , Jacob Halatek , Simon Kretschmer , Petra Schwille

Positioning of the midcell division plane within the bacterium E. coli is controlled by the min system of proteins: MinC, MinD and MinE. These proteins coherently oscillate from end to end of the bacterium. We present a reaction--diffusion…

Soft Condensed Matter · Physics 2009-11-07 Martin Howard , Andrew D. Rutenberg , Simon de Vet

Intracellular protein patterns govern essential cellular functions by dynamically redistributing proteins between membrane-bound and cytosolic states, conserving their total numbers. This review presents a theoretical framework for…

Biological Physics · Physics 2025-12-16 Erwin Frey , Henrik Weyer

A weak correlation between the diffusion-exponent fluctuations and the temperature fluctuations is discussed based on recent experimental observations for protein diffusion inside bacteria. Its existence is shown to be essential for…

Statistical Mechanics · Physics 2021-12-09 Yuichi Itto , Christian Beck

The spectrum and scale of fluctuations in protein structures affect the range of cell phenomena, including stability of protein structures or their fragments, allosteric transitions and energy transfer. The study presents a…

Biomolecules · Quantitative Biology 2015-05-13 Anatoly M. Ruvinsky , Ilya A. Vakser

The spatiotemporal oscillation patterns of the proteins MinD and MinE are used by the bacterium E. coli to sense its own geometry. Strikingly, both computer simulations and experiments have recently shown that for the same geometry of the…

Subcellular Processes · Quantitative Biology 2016-10-18 Artemij Amiranashvili , Nikolas D Schnellbächer , Ulrich S Schwarz

Protein variability in single cells has been studied extensively in populations, but little is known about temporal protein fluctuations in a single cell over extended times. We present here traces of protein copy number measured in…

Biological Physics · Physics 2015-06-16 Naama Brenner , Erez Braun , Anna Yoney , Lee Susman , James Rotella , Hanna Salman

The copy number of any protein fluctuates among cells in a population; characterizing and understanding these fluctuations is a fundamental problem in biophysics. We show here that protein distributions measured under a broad range of…

Many cellular components are present in such low numbers that individual stochastic production and degradation events lead to significant fluctuations in molecular abundances. Although feedback control can, in principle, suppress such…

Molecular Networks · Quantitative Biology 2025-12-25 Ryan Ripsman , Brayden Kell , Andreas Hilfinger

We consider two types of fluctuations in the mass-action equilibrium in protein binding networks. The first type is driven by relatively slow changes in total concentrations (copy numbers) of interacting proteins. The second type, to which…

Molecular Networks · Quantitative Biology 2009-11-13 Koon-Kiu Yan , Dylan Walker , Sergei Maslov

Information transmission in cells occurs quite accurately even when concentration changes are "read" by individual target molecules. In this Letter we study molecule number fluctuations when molecules diffuse and react. We show that, for…

Biological Physics · Physics 2014-12-17 Emiliano Pérez Ipiña , Silvina Ponce Dawson

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

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

In E. coli the determination of the middle of the cell and the proper placement of the septum is essential to the division of the cell. This step depends on the proteins MinC, MinD, and MinE. Exposure to a constant external field e.g., an…

Subcellular Processes · Quantitative Biology 2007-05-23 Paisan Kanthang , Waipot Ngamsaad , Charin Modchang , Wannapong Triampo , Narin Nuttawut , I-Ming Tang , Yongwimol Lenbury

Structure fluctuations and conformational changes accompany all biological processes involving macromolecules. The paper presents a classification of protein residues based on the normalized equilibrium fluctuations of the residue centers…

Biological Physics · Physics 2015-05-30 Anatoly M. Ruvinsky , Tatsiana Kirys , Alexander V. Tuzikov , Ilya A. Vakser

Conformational fluctuations are believed to play an important role in the process by which transcription factor proteins locate and bind their target site on the genome of a bacterium. Using a simple model, we show that the binding time can…

Soft Condensed Matter · Physics 2008-07-22 Longhua Hu , Alexander Y. Grosberg , Robijn Bruinsma

Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise', is predominantly generated by interactions of the system…

Molecular Networks · Quantitative Biology 2008-09-18 Vahid Shahrezaei , Julien F Ollivier , Peter S Swain

A model of interacting random walkers is presented and shown to give rise to patterns consisting in periodic arrangements of fluctuating particle clusters. The model represents biological individuals that die or reproduce at rates depending…

Statistical Mechanics · Physics 2009-11-10 Cristobal Lopez , Emilio Hernandez-Garcia

Phenotypes of individuals in a population of organisms are not fixed. Phenotypic fluctuations, which describe temporal variation of the phenotype of an individual or individual-to-individual variation across a population, are present in…

Populations and Evolution · Quantitative Biology 2018-08-15 Hong-Yan Shih , Harry Mickalide , David T. Fraebel , Nigel Goldenfeld , Seppe Kuehn
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