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Motivation: RNA design aims to find RNA sequences that fold into a given target secondary structure, a problem also known as RNA inverse folding. However, not all target structures are designable. Recent advances in RNA designability have…

Data Structures and Algorithms · Computer Science 2026-04-28 Tianshuo Zhou , David H. Mathews , Liang Huang

The linking number (topological entanglement) and the writhe (geometrical entanglement) of a model of circular double stranded DNA undergoing a thermal denaturation transition are investigated by Monte Carlo simulations. By allowing the…

Statistical Mechanics · Physics 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

An inhomogeneous helicoidal nearest-neighbor model with continuous degrees of freedom is shown to predict the same DNA melting properties as traditional long-range Ising models, for free DNA molecules in solution, as well as superhelically…

Biomolecules · Quantitative Biology 2007-05-23 Tom Michoel , Yves Van de Peer

While much effort has focused on detecting positive and negative directional selection in the human genome, relatively little work has been devoted to balancing selection. This lack of attention is likely due to the paucity of sophisticated…

Populations and Evolution · Quantitative Biology 2013-07-17 Michael DeGiorgio , Kirk E. Lohmueller , Rasmus Nielsen

This paper examines two methods for finding whether long-range correlations exist in DNA: a fractal measure and a mutual information technique. We evaluate the performance and implications of these methods in detail. In particular we…

Populations and Evolution · Quantitative Biology 2007-05-23 Matthew J. Berryman , Andrew Allison , Derek Abbott

The approach for the description of the DNA conformational transformations on the mesoscopic scales in the frame of the double helix is presented. Due to consideration of the joint motions of DNA structural elements along the conformational…

Biomolecules · Quantitative Biology 2009-09-29 S. N. Volkov

The DNA molecule is modeled by a parabola embedded chain with long-range interactions between twisted base pair dipoles. A mechanism for bubble generation is presented and investigated in two different configurations. Using random normally…

Pattern Formation and Solitons · Physics 2007-05-23 Peter V. Larsen , Peter L. Christiansen , Ole Bang , Juan F. R. Archilla , Yuri B. Gaididei

The conformational statistics of ring polymers in melts or dense solutions is strongly affected by their quenched microscopic topological state. The effect is particularly strong for non-concatenated unknotted rings, which are known to…

Soft Condensed Matter · Physics 2015-06-17 Angelo Rosa , Ralf Everaers

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

The mechanical separation of the double helical DNA structure induced by forces pulling apart the two DNA strands (``unzipping'') has been the subject of recent experiments. Analytical results are obtained within various models of…

Statistical Mechanics · Physics 2009-11-07 D. Marenduzzo , A. Trovato , A. Maritan

In hot dense plasmas of intermediate or high-Z elements in the state of local thermodynamic equilibrium, the number of electronic configurations contributing to key macroscopic quantities such as the spectral opacity and equation of state,…

Plasma Physics · Physics 2021-03-31 Menahem Krief

Test experiments of hybridization in DNA microarrays show systematic deviations from the equilibrium isotherms. We argue that these deviations are due to the presence of a partially hybridized long-lived state, which we include in a kinetic…

Biomolecules · Quantitative Biology 2010-06-16 J. Hooyberghs , M. Baiesi , A. Ferrantini , E. Carlon

The neural network-based approach, presented in this paper, was developed for the analysis of peak profiles and for the prediction of base profile characteristics, such as width, asymmetry, asymptotic ("peak tales"), etc. of the observed…

Data Analysis, Statistics and Probability · Physics 2016-12-23 Ruben A. Dilanian

The proper design of DNA sequences allows for the formation of well defined supramolecular units with controlled interactions via a consecution of self-assembling processes. Here, we benefit from the controlled DNA self-assembly to…

Soft Condensed Matter · Physics 2018-02-14 Javier Fernandez-Castanon , Francesca Bomboi , Francesco Sciortino

We introduce a model of DNA sequence evolution which can account for biases in mutation rates that depend on the identity of the neighboring bases. An analytic solution for this class of non-equilibrium models is developed by adopting…

Biological Physics · Physics 2007-05-23 Peter F. Arndt , Christopher B. Burge , Terence Hwa

The understanding, and even the description of protein folding is impeded by the complexity of the process. Much of this complexity can be described and understood by taking a statistical approach to the energetics of protein conformation,…

chem-ph · Physics 2008-02-03 J. D. Bryngelson , J. N. Onuchic , N. D. Socci , P. G. Wolynes

In this paper we extend the classical method of lattice dynamics to defective crystals with partial symmetries. We start by a nominal defect configuration and first relax it statically. Having the static equilibrium configuration, we use a…

Materials Science · Physics 2010-04-28 Arash Yavari , Arzhang Angoshtari

The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbers regime. So far, an explicit solution has seemed out of…

Probability · Mathematics 2023-04-26 Ellen Baake , Frederic Alberti

We outline a partial-fractions decomposition method for determining the one-particle spectral function and single-particle density of states of a correlated electronic system on a finite lattice in the non self-consistent T-matrix…

Strongly Correlated Electrons · Physics 2009-11-10 R. J. Gooding , F. Marsiglio , S. Verga , K. S. D. Beach

While multiple testing procedures have been the focus of much statistical research, an important facet of the problem is how to deal with possible confounding. Procedures have been developed by authors in genetics and statistics. In this…

Methodology · Statistics 2008-12-18 Debashis Ghosh