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We define a DNA as a sequence of $1, 2$'s and embed it on a path of Cayley tree in such a way that each vertex of the Cayley tree belongs only to one of DNA and each DNA has its own countably many set of neighboring DNAs. The Hamiltonian of…

Statistical Mechanics · Physics 2020-06-25 U. A. Rozikov

In this work we employ various methods of analysis (unfolding simulations and comparative analysis of structures and sequences of proteomes of thermophilic organisms) to show that organisms can follow two major strategies of thermophilic…

Biomolecules · Quantitative Biology 2007-05-23 Igor N. Berezovsky , Eugene I. Shakhnovich

A model of self-avoiding walk with suitable constraints on self-attraction is developed to describe the conformational behaviour of a single stranded short DNA molecule that form hairpin structure. Using exact enumeration method we…

Soft Condensed Matter · Physics 2007-05-23 Debaprasad Giri , Sanjay Kumar , Yashwant Singh

The mechanical properties of molecules are today captured by single molecule manipulation experiments, so that polymer features are tested at a nanometric scale. Yet devising mathematical models to get further insight beyond the commonly…

The influence of tension on DNA looping has been studied both experimentally and theoretically in the past. However, different theoretical models have yielded different predictions, leaving uncertainty about their validity. We briefly…

Statistical Mechanics · Physics 2025-01-17 Wout Laeremans , Wouter G Ellenbroek

We report experimental observations on the effect of disorder on the phase behavior of DNA-linked nanoparticle assemblies. Variation in DNA linker lengths results in different melting temperatures of the DNA-linked nanoparticle assemblies.…

Biological Physics · Physics 2009-11-11 Nolan C. Harris , Ching-Hwa Kiang

Quantifying interactions in DNA microarrays is of central importance for a better understanding of their functioning. Hybridization thermodynamics for nucleic acid strands in aqueous solution can be described by the so-called…

Biomolecules · Quantitative Biology 2010-01-06 J. Hooyberghs , P. Van Hummelen , E. Carlon

The force induced unzipping transition of a double stranded DNA is considered from a purely thermodynamic point of view. This analysis provides us with a set of relations that can be used to test microscopic theories and experiments. The…

Soft Condensed Matter · Physics 2015-06-18 Poulomi Sadhukhan , Somendra M. Bhattacharjee

The accurate knowledge of the elastic properties of single-stranded DNA (ssDNA) is key to characterize the thermodynamics of molecular reactions that are studied by force spectroscopy methods where DNA is mechanically unfolded. Examples…

Soft Condensed Matter · Physics 2021-10-19 X. Viader-Godoy , M. Manosas , F. Ritort

A versatile approach to modeling the conformations and energetics of DNA loops is presented. The model is based on the classical theory of elasticity, modified to describe the intrinsic twist and curvature of DNA, the DNA bending…

Biological Physics · Physics 2007-05-23 Alexander Balaeff , L. Mahadevan , Klaus Schulten

The incredible thermo-mechanical properties of biological materials arise from the microscopic scale due to a complex hierarchical mechanism, regulated by microinstabilities at the molecular level. The description of such complex structures…

Biological Physics · Physics 2022-10-26 Luca Bellino

In human cells, estrogenic signals induce cyclical association and dissociation of specific proteins with the DNA in order to activate transcription of estrogen-responsive genes. These oscillations can be modeled by assuming a large number…

Cell Behavior · Quantitative Biology 2007-05-23 Vincent Lemaire , Chiu Fan Lee , Jinzhi Lei , Raphael Metivier , Leon Glass

DNA code design aims to generate a set of DNA sequences (codewords) with minimum likelihood of undesired hybridizations among sequences and their reverse-complement (RC) pairs (cross-hybridization). Inspired by the distinct hybridization…

Information Theory · Computer Science 2020-05-15 Yixin Wang , Md Noor-A-Rahim , Erry Gunawan , Yong Liang Guan , Chueh Loo Poh

Short DNA linkers are increasingly being exploited for driving specific self-assembly of Brownian objects. DNA-functionalised colloids can assemble into ordered or amorphous materials with tailored morphology. Recently, the same approach…

Soft Condensed Matter · Physics 2015-01-12 Lucia Parolini , Bortolo M. Mognetti , Jurij Kotar , Erika Eiser , Pietro Cicuta , Lorenzo Di Michele

The formation of secondary structures by a random RNA sequence is studied as a model system for the sequence-structure problem omnipresent in biopolymers. Several toy energy models are introduced to allow detailed analytical and numerical…

Statistical Mechanics · Physics 2009-11-07 R. Bundschuh , T. Hwa

The Peyrard-Bishop DNA model describes the molecular interactions with simple potentials which allow efficient calculations of melting temperatures. However, it is based on a Hamiltonian that does not consider the helical twist or any other…

Biomolecules · Quantitative Biology 2020-07-16 Mateus Rodrigues Leal , Gerald Weber

We show how single-molecule unzipping experiments can provide strong evidence that the zero-force melting transition of long molecules of natural dsDNA should be classified as a phase transition of the higher-order type (continuous). We…

Soft Condensed Matter · Physics 2007-05-23 C. Brian Roland , Kristi Adamson Hatch , Mara Prentiss , Eugene I. Shakhnovich

Thermal conductivity of isolated single molecule DNA fragments is of importance for nanotechnology, but has not yet been measured experimentally. Theoretical estimates based on simplified (1D) models predict anomalously high thermal…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Alexander V. Savin , Mikhail A. Mazo , Irina P. Kikot , Leonid I. Manevitch , Alexey V. Onufriev

We introduce and numerically study a model designed to mimic the bulk behavior of a system composed of single-stranded DNA dendrimers. Complementarity of the base sequences of different strands results in the formation of strong cooperative…

Soft Condensed Matter · Physics 2009-11-11 Francis W. Starr , Francesco Sciortino

A unified model is constructed to study the recently observed DNA entropic elasticity, cooperative extensibility, and supercoiling property. With the introduction of a new structural parameter (the folding angle $\phi$), bending…

Soft Condensed Matter · Physics 2007-05-23 Zhou Haijun , Zhang Yang , Ou-Yang Zhong-can