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Metrics for indirectly predicting the folding rates of RNA sequences are of interest. In this letter, we introduce a simple metric of RNA structural complexity, which accounts for differences in the energetic contributions of RNA base…

Biomolecules · Quantitative Biology 2009-08-17 Asamoah Nkwanta , Wilfred Ndifon

We are going to study some conditions on which the Radon transform and its dual are invertible. Two function spaces are introduced that the Radon transform on which is bijective linear operator. In this regards, a reconstruction formula is…

Representation Theory · Mathematics 2017-03-20 T. Derikvand , R. A. Kamyabi-Gol , M. Janfada

This paper studies a system of Ordinary Differential Equations modeling a chemical reaction network and derives from it a simulation tool mimicking Loss of Function and Gain of Function mutations found in cancer cells. More specifically,…

Molecular Networks · Quantitative Biology 2020-04-07 Sara Sommariva , Giacomo Caviglia , Michele Piana

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

Graph-Rewriting Automata (GRA) are an extension of Cellular Automata to a dynamic structure using local graph-rewriting rules. This work introduces linear algebra based tools that allow for a practical investigation of their behavior in…

Dynamical Systems · Mathematics 2025-11-11 Paul Cousin , Aude Maignan

The process of RNA base fraying (i.e. the transient opening of the termini of a helix) is involved in many aspects of RNA dynamics. We here use molecular dynamics simulations and Markov state models to characterize the kinetics of RNA…

Computational Physics · Physics 2019-04-22 Giovanni Pinamonti , Fabian Paul , Frank Noé , Alex Rodriguez , Giovanni Bussi

The Gene Regulatory Network (GRN) of biological cells governs a number of key functionalities that enables them to adapt and survive through different environmental conditions. Close observation of the GRN shows that the structure and…

Neural and Evolutionary Computing · Computer Science 2023-10-10 Adrian Ratwatte , Samitha Somathilaka , Sasitharan Balasubramaniam , Assaf A. Gilad

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

Radiation damage is an unavoidable process when performing structural investigations of biological macromolecules with X-ray sources. In crystallography this process can be limited through damage distribution in a crystal, while for single…

Materials Science · Physics 2009-11-13 C. Caleman , C. Ortiz , E. Marklund , F. Bultmark , M. Gabrysch , F. G. Parak , J. Hajdu , M. Klintenberg , N. Timneanu

Transformers have become methods of choice in many applications thanks to their ability to represent complex interactions between elements. However, extending the Transformer architecture to non-sequential data such as molecules and…

Machine Learning · Computer Science 2022-04-27 Yoni Choukroun , Lior Wolf

The dominant paradigm in origin of life research is that of an RNA world. However, despite experimental progress towards the spontaneous formation of RNA, the RNA world hypothesis still has its problems. Here, we introduce a novel…

Molecular Networks · Quantitative Biology 2017-01-31 Wim Hordijk

Although a vast amount of experimental information is available on the elongation, compression, and folding of proteins in biochemical processes, very little is known about the real structure and molecular dynamics of DNA at an atomic…

Materials Science · Physics 2007-09-19 Ilya Yanov , Glake Hill

We address the challenge of identifying all real positive steady states in chemical reaction networks (CRNs) governed by mass-action kinetics. Traditional numerical methods often require specific initial guesses and may fail to find all the…

Molecular Networks · Quantitative Biology 2025-09-29 Paola Ferrari , Sara Sommariva , Michele Piana , Federico Benvenuto , Matteo Varbaro

Processes involving multi-input multi-step reaction cascades are used in developing novel biosensing, biocomputing, and decision making systems. In various applications different changes in responses of the constituent processing steps…

Molecular Networks · Quantitative Biology 2016-08-16 Sergii Domanskyi , Vladimir Privman

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 study the force-induced unfolding of random disordered RNA or single-stranded DNA polymers. The system undergoes a second order phase transition from a collapsed globular phase at low forces to an extensive necklace phase with a…

Soft Condensed Matter · Physics 2009-11-07 M. Mueller , F. Krzakala , M. Mezard

In the frames of Mims transformation matrix method the equation for nuclear magnetization are obtained describing the dynamics of nuclear spin-systems with a strong Larmor and Rabi inhomogeneous broadenings of NMR line in conditions of…

Superconductivity · Physics 2007-05-23 J. G. Chigvinadze , G. I. Mamniashvili , Yu. G. Sharimanov

We introduce oxNA, a new model for the simulation of DNA-RNA hybrids which is based on two previously developed coarse-grained models$\unicode{x2014}$oxDNA and oxRNA. The model naturally reproduces the physical properties of hybrid duplexes…

Soft Condensed Matter · Physics 2024-03-19 Eryk J. Ratajczyk , Petr Šulc , Andrew J. Turberfield , Jonathan P. K. Doye , Ard A. Louis

This methods paper presents computational protocols for the identification of non-coding RNA genes or RNA motifs within genomic sequences. An application to bacterial small RNA is proposed.

Quantitative Methods · Quantitative Biology 2015-12-23 Daniel Gautheret

Biochars have been attracting renewed attention as economical and environmentally friendly carbon sequestration materials with a diverse range of applications. However, experimental developments may be limited by the lack of molecular-level…

Materials Science · Physics 2024-06-11 Rosie Wood , Ondrej Masek , Valentina Erastova