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In this review, we present the encounter-based approach to target search problems, in which the diffusive dynamics is described by the joint probability of the position of the particle and the number of its encounters with a given target…

Statistical Mechanics · Physics 2025-07-16 Denis S. Grebenkov

Many proteins carry out their biological functions by forming the characteristic tertiary structures. Therefore, the search of the stable states of proteins by molecular simulations is important to understand their functions and…

Biomolecules · Quantitative Biology 2015-05-22 Yoshitake Sakae , Tomoyuki Hiroyasu , Mitsunori Miki , Katsuya Ishii , Yuko Okamoto

Specific binding of proteins to DNA is one of the most common ways in which gene expression is controlled. Although general rules for the DNA-protein recognition can be derived, the ambiguous and complex nature of this mechanism precludes a…

Biomolecules · Quantitative Biology 2007-12-17 E. Moroni , M. Caselle , F. Fogolari

We study a model for a protein searching for a target, using facilitated diffusion, on a DNA molecule confined in a finite volume. The model includes three distinct pathways for facilitated diffusion: (a) sliding - in which the protein…

Subcellular Processes · Quantitative Biology 2009-01-28 Michael Sheinman , Yariv Kafri

We devise an approach for targeted molecular design, a problem of interest in computational drug discovery: given a target protein site, we wish to generate a chemical with both high binding affinity to the target and satisfactory…

Artificial Intelligence · Computer Science 2018-09-07 Tristan Aumentado-Armstrong

Transcriptional activity has been shown to relate to the organization of chromosomes in the eukaryotic nucleus and in the bacterial nucleoid. In particular, highly transcribed genes, RNA polymerases and transcription factors gather into…

Biological Physics · Physics 2010-05-11 Ivan Junier , Olivier Martin , François Képès

Fluorescence microscopy reveals that the contents of many (membrane-free) nuclear "bodies" exchange rapidly with the soluble pool whilst the underlying structure persists; such observations await a satisfactory biophysical explanation. To…

Biological Physics · Physics 2017-04-26 C. A. Brackley , B. Liebchen , D. Michieletto , F. Mouvet , P. R. Cook , D. Marenduzzo

We report an accurate method to determine DNA barcodes from the dwell time measurement of protein tags (barcodes) along the DNA backbone using Brownian dynamics simulation of a model DNA and use a recursive theoretical scheme which improves…

Soft Condensed Matter · Physics 2021-02-09 Swarnadeep Seth , Aniket Bhattacharya

It is known since the early days of molecular biology that proteins locate their specific targets on DNA up to two orders of magnitude faster than the Smoluchowski 3D diffusion rate. It was the idea due to Delbruck that they are…

Biomolecules · Quantitative Biology 2015-06-26 Tao Hu , A. Yu. Grosberg , B. I. Shklovskii

Transcription factors are proteins that regulate gene activity by activating or repressing gene transcription. A special class of transcriptional repressors operates via a short-range mechanism, making local DNA regions inaccessible to…

Molecular Networks · Quantitative Biology 2022-04-13 F. E. Garbuzov , V. V. Gursky

In computational molecular biology, gene regulatory binding sites prediction in whole genome remains a challenge for the researchers. Now a days, the genome wide regulatory binding site prediction tools required either direct pattern…

Genomics · Quantitative Biology 2010-02-06 Chandra Prakash Singh , Feroz Khan , Sanjay Kumar Singh , Durg Singh Chauhan

The metazoan genome is replicated in precise cell lineage specific temporal order. However, the mechanism controlling this orchestrated process is poorly understood as no molecular mechanisms have been identified that actively regulate the…

Subcellular Processes · Quantitative Biology 2014-03-12 Yevgeniy Gindin , Manuel S. Valenzuela , Mirit I. Aladjem , Paul S. Meltzer , Sven Bilke

The mechanism allowing a protein to search of a target sequence on DNA is currently described as an intermittent process composed of 3D diffusion in bulk and 1D diffusion along the DNA molecule. Due to the relevant charge of protein and…

Biological Physics · Physics 2013-12-02 Maria Barbi , Fabien Paillusson

Strong experimental and theoretical evidence shows that transcription factors and other specific DNA-binding proteins find their sites using a two-mode search: alternating between 3D diffusion through the cell and 1D sliding along the DNA.…

Biomolecules · Quantitative Biology 2008-06-11 Zeba Wunderlich , Leonid A. Mirny

In eukaryotic cell nuclei, a variety of DNA interactions with nuclear elements occur, which, in combination with intra- and inter- chromosomal cross-talks, shape a functional 3D architecture. In some cases they are organized by active, i.e.…

Genomics · Quantitative Biology 2011-05-05 Antonio Scialdone , Mario Nicodemi

We investigate the possibility of encoding multiple solutions of a problem in a single chromosome. The best solution encoded in an individual will represent (will provide the fitness of) that individual. In order to obtain some benefits the…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Mihai Oltean

The spreading and regulation of epigenetic marks on chromosomes is crucial to establish and maintain cellular identity. Nonetheless, the dynamical mechanism leading to the establishment and maintenance of a given, cell-line specific,…

Soft Condensed Matter · Physics 2017-11-08 Davide Michieletto , Enzo Orlandini , Davide Marenduzzo

Computing equilibrium concentrations of molecular complexes is generally analytically intractable and requires numerical approaches. In this work we focus on the polymer-monomer level, where indivisible molecules (monomers) combine to form…

Data Structures and Algorithms · Computer Science 2025-08-25 Hamidreza Akef , Minki Hhan , David Soloveichik

Efficient bacterial chromosome segregation typically requires the coordinated action of a three-components, fueled by adenosine triphosphate machinery called the partition complex. We present a phenomenological model accounting for the…

One of the most important problems in development is how epigenetic domains can be first established, and then maintained, within cells. To address this question, we propose a framework which couples 3D chromatin folding dynamics, to a…

Soft Condensed Matter · Physics 2016-10-25 Davide Michieletto , Enzo Orlandini , Davide Marenduzzo