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The folding of biological macromolecules is a fundamental process of which we lack a full comprehension. Mostly studied in proteins and RNA, single-stranded DNA (ssDNA) also folds, at physiological salt conditions, by forming non-specific…

Soft Condensed Matter · Physics 2021-09-23 X. Viader Godoy , C. R. Pulido , B. Ibarra , M. Manosas , F. Ritort

Formation of base pairs between the nucleotides of an RNA sequence gives rise to a complex and often highly branched RNA structure. While numerous studies have demonstrated the functional importance of the high degree of RNA branching --…

Biological Physics · Physics 2023-06-21 Domen Vaupotič , Angelo Rosa , Luca Tubiana , Anže Božič

The twisting deformation of mechanically stretched DNA molecules is studied by a coarse grained Hamiltonian model incorporating the fundamental interactions that stabilize the double helix and accounting for the radial and angular base pair…

Soft Condensed Matter · Physics 2017-12-15 Marco Zoli

We review statistical-mechanical theories of single-molecule micromanipulation experiments on nucleic acids. First, models for describing polymer elasticity are introduced. We then review how these models are used to interpret…

Soft Condensed Matter · Physics 2007-05-23 S. Cocco , J. F. Marko , R. Monasson

This contribution focuses on the fascinating RNA molecule, its sequence-dependent folding driven by base-pairing interactions, the interplay between these interactions and natural evolution, and its multiple regulatory roles. The four of us…

Statistical Mechanics · Physics 2022-07-28 Simona Cocco , Andrea De Martino , Andrea Pagnani , Martin Weigt

We present a phenomenological dynamical model able to describe the stretching features of the curve of DNA length vs applied force. As concerns the chain, the model is based on the discrete wormlike chain model with elastic modifications,…

Biological Physics · Physics 2012-09-25 Alessandro Fiasconaro , Fernando falo

The statistics of randomly branching double-folded ring polymers are relevant to the secondary structure of RNA, the large-scale branching of plectonemic DNA (and thus bacterial chromosomes), the conformations of single-ring polymers…

Soft Condensed Matter · Physics 2025-10-03 Elham Ghobadpour , Max Kolb , Ivan Junier , Ralf Everaers

Secondary structure formation of nucleic acids strongly depends on salt concentration and temperature. We develop a theory for RNA folding that correctly accounts for sequence effects, the entropic contributions associated with loop…

Biological Physics · Physics 2015-05-27 Thomas R. Einert , Roland R. Netz

A model of self avoiding walks with suitable constraint has been developed to study the effect of temperature on a single stranded DNA (ssDNA) in the constant force ensemble. Our exact calculations for small chains show that the extension…

Statistical Mechanics · Physics 2009-11-13 Sanjay Kumar , Garima Mishra

The sequence-dependent folding landscapes of nucleic acid hairpins reflect much of the complexity of biomolecular folding. Folding trajectories, generated using single molecule force clamp experiments by attaching semiflexible polymers to…

Soft Condensed Matter · Physics 2009-11-13 Changbong Hyeon , Greg Morrison , D. Thirumalai

By performing a comprehensive study on 1832 segments of 1212 complete genomes of viruses, we show that in viral genomes the hairpin structures of thermodynamically predicted RNA secondary structures are more abundant than expected under a…

Quantitative Methods · Quantitative Biology 2010-12-08 Marco Spanò , Fabrizio Lillo , Salvatore Miccichè , Rosario N. Mantegna

We present an extensive theoretical investigation of the mechanical unzipping of double-stranded DNA under the influence of an applied force. In the limit of long polymers, there is a thermodynamic unzipping transition at a critical force…

Soft Condensed Matter · Physics 2009-11-07 David K. Lubensky , David R. Nelson

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

Single-molecule force-extension experiments have allowed quantitative measurements of the mechanical responses of biomolecules to applied forces explaining their roles in key biological functions. Electrophoretic stretching of charged…

Soft Condensed Matter · Physics 2024-02-21 Ananya Mondal , Greg Morrison

A simple one-dimensional lattice model is suggested to describe the experimentally observed plateau in force-stretching diagrams for some macromolecules. This chain model involves the nearest-neighbor interaction of a Morse-like potential…

Pattern Formation and Solitons · Physics 2015-06-03 P. L. Christiansen , A. V. Savin , A. V. Zolotaryuk

We study a model describing the force-extension curves of modular proteins, nucleic acids, and other biomolecules made out of several single units or modules. At a mesoscopic level of description, the configuration of the system is given by…

Statistical Mechanics · Physics 2016-10-19 L. L. Bonilla , A. Carpio , A. Prados

We study the effects of the shear force on the rupture mechanism on a double stranded DNA. Motivated by recent experiments, we perform the atomistic simulations with explicit solvent to obtain the distributions of extension in hydrogen and…

Soft Condensed Matter · Physics 2015-06-17 S. Nath , T. Modi , R. K. Mishra , D. Giri , B. P. Mandal , S. Kumar

A new formalism for calculation of the partition function of single stranded nucleic acids is presented. Secondary structures and the topology of structure elements are the level of resolution that is used. The folding model deals with…

Biomolecules · Quantitative Biology 2007-05-23 Roumen A. Dimitrov

In this paper we consider a physical system in which two DNA molecules braid about each other. The distance between the two molecular ends, on either side of the braid, is held at a distance much larger than supercoiling radius of the…

Soft Condensed Matter · Physics 2014-07-02 Dominic J. , Lee

We study the elastic properties of a single A/B copolymer chain with a specific sequence. We predict a rich structure in the force extension relations which can be addressed to the sequence. The variational method is introduced to probe…

Soft Condensed Matter · Physics 2009-11-07 Namkyung Lee , Thomas A. Vilgis