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A number of results for reactions involving subdiffusive species all with the same anomalous exponent gamma have recently appeared in the literature and can often be understood in terms of a subordination principle whereby time t in…

Statistical Mechanics · Physics 2009-11-11 S. B. Yuste , Katja Lindenberg

The diffusive arrival of transcription factors at the promoter sites on the DNA sets a lower bound on how accurately a cell can regulate its protein levels. Using results from the literature on diffusion-influenced reactions, we derive an…

Molecular Networks · Quantitative Biology 2014-10-24 Joris Paijmans , Pieter Rein ten Wolde

Protein translation is a multistep process which can be represented as a cascade of biochemical reactions (initiation, ribosome assembly, elongation, etc.), the rate of which can be regulated by small non-coding microRNAs through multiple…

Molecular Networks · Quantitative Biology 2010-03-09 Andrei Zinovyev , Nadya Morozova , Nora Nonne , Emmanuel Barillot , Annick Harel-Bellan , Alexander N. Gorban

Even under constant external conditions, the expression levels of genes fluctuate. Much emphasis has been placed on the components of this noise that are due to randomness in transcription and translation; here we analyze the role of noise…

Molecular Networks · Quantitative Biology 2013-08-01 Gasper Tkacik , Thomas Gregor , William Bialek

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

The motion of self-propelled particles is modeled as a persistent random walk. An analytical framework is developed that allows the derivation of exact expressions for the time evolution of arbitrary moments of the persistent walk's…

Soft Condensed Matter · Physics 2015-07-28 Zeinab Sadjadi , M. Reza Shaebani , Heiko Rieger , Ludger Santen

Nonequilibrium dynamics of biomembranes with active inclusions is considered. The inclusions represent protein molecules which perform cyclic internal conformational motions driven by the energy brought with ATP ligands. As protein…

Soft Condensed Matter · Physics 2015-05-13 Hsuan-Yi Chen , Alexander S. Mikhailov

In eukaryotic genomes, nucleosomes function to compact DNA and to regulate access to it both by simple physical occlusion and by providing the substrate for numerous covalent epigenetic tags. While nucleosome positions in vitro are…

The architecture of the eukaryotic genome is characterized by a high degree of spatial organization. Chromosomes occupy preferred territories correlated to their state of activity and, yet, displace their genes to interact with remote sites…

Genomics · Quantitative Biology 2015-05-14 Mario Nicodemi , Antonella Prisco

We typically think of cells as responding to external signals independently by regulating their gene expression levels, yet they often locally exchange information and coordinate. Can such spatial coupling be of benefit for conveying…

Molecular Networks · Quantitative Biology 2015-01-19 Thomas R. Sokolowski , Gašper Tkačik

We study the dynamics of the passage of a stiff chain through a pore into a cell containing particles that bind reversibly to it. Using Brownian Molecular Dynamics simulations we investigate the mean-first-passage time as a function of the…

Soft Condensed Matter · Physics 2009-11-10 Roya Zandi , David Reguera , Joseph Rudnick , William M. Gelbart

Crowded environments modify the diffusion of macromolecules, generally slowing their movement and inducing transient anomalous subdiffusion. The presence of obstacles also modifies the kinetics and equilibrium behavior of tracers. While…

Background: This study is mainly motivated by the need of understanding how the diffusion behaviour of a biomolecule (or even of a larger object) is affected by other moving macromolecules, organelles, and so on, inside a living cell,…

Biological Physics · Physics 2016-01-15 Matteo Gori , Irene Donato , Elena Floriani , Ilaria Nardecchia , Marco Pettini

A theory for qualitative models of gene regulatory networks has been developed over several decades, generally considering transcription factors to regulate directly the expression of other transcription factors, without any intermediate…

Classical Analysis and ODEs · Mathematics 2016-07-20 D. Hudson , R. Edwards

Understanding anomalous transport and reaction kinetics due to microscopic physical and chemical disorder is a long-standing goal in many fields including geophysics, biology, and engineering. We consider reaction-diffusion characterized by…

Soft Condensed Matter · Physics 2017-10-11 Gerald J. Lapeyre , Marco Dentz

Transcriptional pulsing has been observed in both prokaryotes and eukaryotes and plays a crucial role in cell to cell variability of protein and mRNA numbers. The issue is how the time constants associated with episodes of transcriptional…

Quantitative Methods · Quantitative Biology 2009-09-29 Srividya Iyer-Biswas , F. Hayot , C. Jayaprakash

All materials enter or exit the cell nucleus through nuclear pore complexes (NPCs), efficient transport devices that combine high selectivity and throughput. A central feature of this transport is the binding of cargo-carrying soluble…

Cell Behavior · Quantitative Biology 2015-06-26 A. Zilman , S. DiTalia , B. T. Chait , M. P Rout , M. O. Magnasco

Active gels are a class of biologically-relevant material containing embedded agents that spontaneously generate forces acting on a sparse filament network. In vitro experiments of protein filaments and molecular motors have revealed a…

Soft Condensed Matter · Physics 2024-06-03 David A. Head , Gerhard Gompper , W. J. Briels

Single-file transport, where particles cannot bypass each other, has been observed in various experimental setups. In such systems, the behaviour of a tracer particle (TP) is subdiffusive, which originates from strong correlations between…

Statistical Mechanics · Physics 2019-11-13 Alexis Poncet , Olivier Bénichou , Vincent Démery , Gleb Oshanin

Understanding functional organization of genetic information is a major challenge in modern biology. Following the initial publication of the human genome sequence in 2001, advances in high-throughput measurement technologies and efficient…

Machine Learning · Statistics 2011-03-01 Leo Lahti
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