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We study the search process of a target on a rapidly folding polymer (`DNA') by an ensemble of particles (`proteins'), whose search combines 1D diffusion along the chain, Levy type diffusion mediated by chain looping, and volume exchange. A…

Soft Condensed Matter · Physics 2009-11-11 Michael A. Lomholt , Tobias Ambjornsson , Ralf Metzler

Many biological processes involve one dimensional diffusion over a correlated inhomogeneous energy landscape with a correlation length $\xi_c$. Typical examples are specific protein target location on DNA, nucleosome repositioning, or DNA…

Biomolecules · Quantitative Biology 2007-05-23 Michael Slutsky , Mehran Kardar , Leonid A. Mirny

We propose a dynamical model for non-specific DNA-protein interaction, which is based on the 'bead-spring' model previously developed by other groups, and investigate its properties using Brownian Dynamics simulations. We show that the…

Biological Physics · Physics 2009-01-14 Ana-Maria Florescu , Marc Joyeux

Long DNA molecules can be mapped by cutting them with restriction enzymes inside a narrow channel. Once cut, the individual fragments thus produced move away from each other due to diffusion and entropic effects. We investigate how long it…

Soft Condensed Matter · Physics 2025-06-11 Hanyang. Wang , Gary W Slater

We develop revised theoretical ideas on the mechanism by which the transcription factor proteins locate their specific binding sites on DNA faster than the three-dimensional (3D) diffusion controlled rate limit. We demonstrate that the…

Biological Physics · Physics 2014-09-22 Rajamanickam Murugan

Transcription factors perform facilitated diffusion (3D diffusion in the cytosol and 1D diffusion on the DNA) when binding to their target sites to regulate gene expression. Here, we investigated the influence of this binding mechanism on…

Molecular Networks · Quantitative Biology 2014-09-04 Armin P. Schoech , Nicolae Radu Zabet

Transcription Factors (TFs) are proteins that regulate gene expression. The regulation mechanism is via the binding of a TF to a specific part of the gene associated with it, the TF's target. The target of a specific TF corresponds to a…

Statistical Mechanics · Physics 2022-09-02 Ori Hachmo , Ariel Amir

This review examines intermittent target search strategies, which combine phases of slow motion, allowing the searcher to detect the target, and phases of fast motion during which targets cannot be detected. We first show that intermittent…

Statistical Mechanics · Physics 2015-05-27 O. Bénichou , C. Loverdo , M. Moreau , R. Voituriez

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

Surviving in a diverse environment requires corresponding organism responses. At the cellular level, such adjustment relies on the transcription factors (TFs) which must rapidly find their target sequences amidst a vast amount of…

Quantitative Methods · Quantitative Biology 2009-11-13 Vahid Rezania , Jack Tuszynski , Michael Hendzel

Problems of search and recognition appear over different scales in biological systems. In this review we focus on the challenges posed by interactions between proteins, in particular transcription factors, and DNA and possible mechanisms…

Biomolecules · Quantitative Biology 2015-03-19 M. Sheinman , O. Bénichou , Y. Kafri , R. Voituriez

Protein-DNA interactions are critical for the successful functioning of all natural systems. The key role in these interactions is played by processes of protein search for specific sites on DNA. Although it has been studied for many years,…

Subcellular Processes · Quantitative Biology 2018-08-08 Alexey A. Shvets , Maria P. Kochugaeva , Anatoly B. Kolomeisky

We present a novel framework for understanding node target search in systems organized as hierarchical networks-within-networks. Our work generalizes traditional search models on complex networks, where the mean-first passage time is…

Biological Physics · Physics 2024-11-06 Lucas Hedström , Seong-Gyu Yang , Ludvig Lizana

We analyze velocity-jump process models of persistent search for a single target on a bounded domain. The searcher proceeds along ballistic trajectories and is absorbed upon collision with the target boundary. When reaching the domain…

Statistical Mechanics · Physics 2016-06-22 Daniel B. Poll , Zachary P. Kilpatrick

Transcription factors are able to associate to their binding sites on DNA faster than the physical limit posed by diffusion. Such high association rates can be achieved by alternating between three-dimensional diffusion and one-dimensional…

Biomolecules · Quantitative Biology 2017-12-07 Massimo Cencini , Simone Pigolotti

Site-specific transcription factors (TFs) bind to their target sites on the DNA, where they regulate the rate at which genes are transcribed. Bacterial TFs undergo facilitated diffusion (a combination of 3D diffusion around and 1D random…

Molecular Networks · Quantitative Biology 2014-04-23 Daphne Ezer , Nicolae Radu Zabet , Boris Adryan

We use a lattice model to study first-passage time distributions of target finding events through complex environments with elongated fibers distributed with different anisotropies and volume occupation fractions. For isotropic systems and…

Statistical Mechanics · Physics 2020-09-10 David Gomez , Eial Teomy , Ayelet Lesman , Yair Shokef

Single-particle tracking allows to infer the motion of single molecules in living cells. When we observe a long trajectory (more than 100 points), it is possible that the particle switches mode of motion over time. Then, fitting a single…

Methodology · Statistics 2018-04-16 Vincent Briane , Charles Kervrann , Myriam Vimond

There is now a certain consensus that Transcription Factors (TFs) reach their target sites, where they regulate gene transcription, via a mechanism dubbed facilitated diffusion (FD). In FD, the TF cycles between events of 3D-diffusion in…

Biomolecules · Quantitative Biology 2015-06-18 Carlo Guardiani , Massimo Cencini , Fabio Cecconi

In order to characterize the mechanisms governing the diffusion of particles in biological scenarios, it is essential to accurately determine their diffusive properties. To do so, we propose a machine learning method to characterize…

Soft Condensed Matter · Physics 2023-11-29 Borja Requena , Sergi Masó , Joan Bertran , Maciej Lewenstein , Carlo Manzo , Gorka Muñoz-Gil