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A common scenario in a variety of biological systems is that multiple particles are searching in parallel for an immobile target located in a bounded domain, and the fastest among them that arrives to the target first triggers a given…

Statistical Mechanics · Physics 2025-07-15 Denis S. Grebenkov , Ralf Metzler , Gleb Oshanin

Transcription factors (TFs) are macromolecules that bind to \textit{cis}-regulatory specific sub-regions of DNA promoters and initiate transcription. Finding the exact location of these binding sites (aka motifs) is important in a variety…

Computer Vision and Pattern Recognition · Computer Science 2016-11-18 Hamid Reza Hassanzadeh , May D. Wang

The unzipping transition under the influence of external force of a dsDNA molecule has been studied using the Peyrard-Bishop Hamiltonian. The critical force $F_c(T)$ is found to depend on the potential parameters $k$, represents the…

Soft Condensed Matter · Physics 2007-05-23 Navin Singh , Yashwant Singh

How long does it take a random searcher to visit all sites of a given domain? This time, known as the cover time, is a key observable to quantify the efficiency of exhaustive searches, which require a complete exploration of an area and not…

Statistical Mechanics · Physics 2015-11-20 M. Chupeau , O. Bénichou , R. Voituriez

Current models for the folding of the human genome see a hierarchy stretching down from chromosome territories, through A/B compartments and TADs (topologically-associating domains), to contact domains stabilized by cohesin and CTCF.…

Biological Physics · Physics 2020-10-02 Peter R. Cook , Davide Marenduzzo

Understanding transcription factor dynamics is crucial for unraveling the regulatory mechanisms of gene expression that underpin cellular function and development. Measurements of transcription factor subcellular movements are essential for…

Quantitative Methods · Quantitative Biology 2025-03-20 Sharva V. Hiremath , Etika Goyal , Gregory T. Reeves , Cranos M. Williams

The folding of a protein towards its native state is a rather complicated process. However there are empirical evidences that the folding time correlates with the contact order, a simple measure of the spatial organisation of the native…

Soft Condensed Matter · Physics 2017-12-06 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

Searching a database is a central task in computer science and is paradigmatic of transport and optimization problems in physics. For an unstructured search, Grover's algorithm predicts a quadratic speedup, with the search time…

We present a finite blocklength performance bound for a DNA storage channel with insertions, deletions, and substitutions. The considered bound -- the dependency testing (DT) bound, introduced by Polyanskiy et al. in 2010 -- provides an…

Information Theory · Computer Science 2023-08-07 Issam Maarouf , Gianluigi Liva , Eirik Rosnes , Alexandre Graell i Amat

The problem of motif detection can be formulated as the construction of a discriminant function to separate sequences of a specific pattern from background. In computational biology, motif detection is used to predict DNA binding sites of a…

Genomics · Quantitative Biology 2010-12-10 Qing Zhou

We consider diffusion under stochastic resetting to the origin in one dimension and compute the mean time to find both of two targets placed either side of the origin. A surprising result is that increasing the distance between two targets…

Statistical Mechanics · Physics 2021-12-08 Georgia R. Calvert , Martin R. Evans

It is not known how a cell manages to find a specific DNA sequence sufficiently fast to repair a broken chromosome through homologous recombination. I propose that the solution is based on a parallelized search implemented by freely…

Other Quantitative Biology · Quantitative Biology 2016-08-25 Johan Elf

DNA shape readout is an important mechanism of target site recognition by transcription factors, in addition to the sequence readout. Several models of transcription factor-DNA binding which consider DNA shape have been developed in recent…

Biomolecules · Quantitative Biology 2017-11-30 Kirill Batmanov , Junbai Wang

DNA in sperm cells must undergo an extreme compaction to almost crystalline packing levels. To produce this dense packing, DNA is condensed by protamine, a positively charged protein that loops the DNA into a toroid. Our goal is to…

Collective coordinate and direct numerical integration methods are applied to the analysis of a one-dimensional DNA model. A modification of the coupling constant in an extended region is found to be less selective towards the breather it…

Condensed Matter · Physics 2009-10-28 Julian J. -L. Ting , Michel Peyrard

We present a theory of chemokinetic search agents that regulate directional fluctuations according to distance from a target. A dynamic scattering effect reduces the probability to penetrate regions with high fluctuations and thus search…

Biological Physics · Physics 2020-03-25 Justus A. Kromer , Noelia de la Cruz , Benjamin M. Friedrich

Finding a target in a complex environment is a fundamental challenge in nature, from chemical reactions to sperm reaching an egg. An effective strategy to reduce the time needed to reach a target is to deploy many searchers, increasing the…

Statistical Mechanics · Physics 2025-07-15 Elisabetta Ellettari , Giacomo Nasuti , Alberto Bassanoni , Alessandro Vezzani , Raffaella Burioni

Ranking the binding of small molecules to protein receptors through physics-based computation remains challenging. Though inroads have been made using free energy methods, these fail when the underlying classical mechanical force fields are…

Chemical Physics · Physics 2020-04-21 Narbe Mardirossian , Yuhang Wang , David A. Pearlman , Garnet Kin-Lic Chan , Toru Shiozaki

While achieving a compression ratio of 2.0 bits/base, the new algorithm codes non-N bases in fixed length. It dramatically reduces the time of coding and decoding than previous DNA compression algorithms and some universal compression…

Information Theory · Computer Science 2007-07-16 Jie Liu , Sheng Bao , Zhiqiang Jing , Shi Chen

In tensor completion, the latent nuclear norm is commonly used to induce low-rank structure, while substantially failing to capture the global information due to the utilization of unbalanced unfolding scheme. To overcome this drawback, a…

Computer Vision and Pattern Recognition · Computer Science 2019-10-15 Jinshi Yu , Weijun Sun , Yuning Qiu , Shengli Xie