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The effect of sequence heterogeneity on the dynamics of molecular motors is reviewed and analyzed using a set of recently introduced lattice models. First, we review results for the influence of heterogenous tracks such as a single-strand…

Statistical Mechanics · Physics 2015-06-25 Yariv Kafri , David R. Nelson

The dynamics of molecular motors which occasionally detach from a heterogeneous track like DNA or RNA is considered. Motivated by recent single molecule experiments, we study a simple model for a motor moving along a disordered track using…

Statistical Mechanics · Physics 2009-11-10 Yariv Kafri , David K. Lubensky , David R. Nelson

A chemical kinetic model of the elongation dynamics of RNA polymerase along a DNA sequence is introduced. The proposed model governs the discrete movement of the RNA polymerase along a DNA template, with no consideration given to elastic…

Biomolecules · Quantitative Biology 2007-05-23 Yujiro Richard Yamada , Charles S. Peskin

We present a generic coarse-grained model to describe molecular motors acting on polymer substrates, mimicking, for example, RNA polymerase on DNA or kinesin on microtubules. The polymer is modeled as a connected chain of beads; motors are…

Soft Condensed Matter · Physics 2020-10-14 M. Foglino , E. Locatelli , C. A. Brackley , D. Michieletto , C. Likos , D. Marenduzzo

The transport of polymers with folded configurations across membrane pores is investigated theoretically by analyzing simple discrete stochastic models. The translocation dynamics is viewed as a sequence of two events: motion of the folded…

Statistical Mechanics · Physics 2009-11-13 Stanislav Kotsev , Anatoly B. Kolomeisky

We develop a correlation-corrected transport theory in order to predict ionic and polymer transport properties of membrane nanopores in physical conditions where mean-field electrostatics breaks down. The experimentally observed low KCl…

Soft Condensed Matter · Physics 2014-11-06 Sahin Buyukdagli , Tapio Ala-Nissila

RNA polymerase (RNAP) is a mobile molecular workshop that polymerizes a RNA molecule by adding monomeric subunits one by one, while moving step by step on the DNA template itself. Here we develop a theoretical model by incorporating the…

Biological Physics · Physics 2009-06-04 Tripti Tripathi , Prasanjit Prakash , Debashish Chowdhury

Polymer translocation through a nanopore in a membrane investigated theoretically. Recent experiments on voltage-driven DNA and RNA translocations through a nanopore indicate that the size and geometry of the pore are important factors in…

Statistical Mechanics · Physics 2009-11-07 Elena Slonkina , Anatoly B. Kolomeisky

We consider elongated cylindrical particles, modeling e.g. DNA fragments or nano-rods, while translocating under the action of an externally applied voltage through a solid state nanopore. Particular emphasis is put on the concomitant…

Soft Condensed Matter · Physics 2013-07-15 Sebastian Getfert , Thomas Töws , Peter Reimann

The motion of polymers with inhomogeneous structure through nanopores is discussed theoretically. Specifically, we consider the translocation dynamics of polymers consisting of double-stranded and single-stranded blocks. Since only the…

Statistical Mechanics · Physics 2009-11-11 Stanislav Kotsev , Anatoly B. Kolomeisky

We investigate theoretically the translocation of structured RNA/DNA molecules through narrow pores which allow single but not double strands to pass. The unzipping of basepaired regions within the molecules presents significant kinetic…

Soft Condensed Matter · Physics 2009-11-10 Ulrich Gerland , Ralf Bundschuh , Terence Hwa

Bacterial genomes are partitioned into kilobases long domains that are topologically independent from each other, meaning that change of DNA superhelicity in one domain does not propagate to neighbours. This is made possible by proteins…

Biological Physics · Physics 2025-10-08 Marc Joyeux

Force-driven translocation of a macromolecule through a nanopore is investigated by taking into account the monomer-pore friction as well as the "crowding" of monomers on the {\it trans} - side of the membrane which counterbalance the…

Soft Condensed Matter · Physics 2014-10-06 Johan L. A. Dubbeldam , V. G. Rostiashvili , T. A. Vilgis

Polymerases are protein enzymes that move along nucleic acid chains and catalyze template-based polymerization reactions during gene transcription and replication. The polymerases also substantially improve transcription or replication…

Biological Physics · Physics 2017-01-19 Jin Yu

We introduce a probabilistic model for protein sliding motion along DNA during the search of a target sequence. The model accounts for possible effects due to sequence-dependent interaction between the nonspecific DNA and the protein. As an…

Biological Physics · Physics 2007-05-23 Maria Barbi , Christophe Place , Vladislav Popkov , Mario Salerno

DNA translocation through nanopores is one of the most promising strategies for the next-generation sequencing technologies. Most part of experimental and numerical works has focused on polymer translocation biased by electrophoresis, where…

Soft Condensed Matter · Physics 2018-02-07 Timothée Menais

Polymer translocation has long been a topic of interest in the field of biological physics given its relevance in both biological (protein and DNA/RNA translocation through nuclear and cell membranes) and technological processes (nanopore…

Soft Condensed Matter · Physics 2023-09-11 Alejandro Sainz-Agost , Fernando Falo , Alessandro Fiasconaro

DNA helicases are molecular motors that use the energy from ATP hydrolysis to move along DNA, promoting the unwinding or rewinding of the double helix. Here, we use magnetic and optical tweezers to track the motion of three helicases, gp41,…

Biological Physics · Physics 2025-03-20 V. Rodriguez-Franco , M. M. Spiering , F. Ritort , M. Mañosas

We develop an analytical theory that accounts for the image and surface charge interactions between a charged dielectric membrane and a DNA molecule translocating through the membrane. Translocation events through neutral carbon-based…

Soft Condensed Matter · Physics 2016-08-03 Sahin Buyukdagli , T. Ala-Nissila

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between…

Statistical Mechanics · Physics 2009-11-10 D. Brockmann , T. Geisel
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