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Ribonucleic Acid (RNA) can fold into shapes that perform functions in the cell. These foldings are governed by Watson-Crick base pairing, namely Adenine to Uracil and Cytosine to Guanine (A-U and G-C). The properties of the H-P…

Combinatorics · Mathematics 2018-12-18 Ben Y. Maron

Machine-learning methods in biochemistry commonly represent molecules as graphs of pairwise intermolecular interactions for property and structure predictions. Most methods operate on a single graph, typically the minimal free energy (MFE)…

The problem of RNA secondary structure design (also called inverse folding) is the following: given a target secondary structure, one aims to create a sequence that folds into, or is compatible with, a given structure. In several practical…

Quantitative Methods · Quantitative Biology 2013-08-02 Yu Zhou , Yann Ponty , Stéphane Vialette , Jérôme Waldispühl , Yi Zhang , Alain Denise

We present TT2NE, a new algorithm to predict RNA secondary structures with pseudoknots. The method is based on a classification of RNA structures according to their topological genus. TT2NE guarantees to find the minimum free energy…

Biomolecules · Quantitative Biology 2010-10-22 Michael Bon , Henri Orland

Geometric and electronic properties of folded graphene nanoribbons (FGNRs) are investigated by first-principles calculations. These properties are mainly dominated by the competition or cooperation among stacking, curvature and edge…

Computational Physics · Physics 2015-09-15 Shen-Lin Chang , Bi-Ru Wu , Po-Hua Yang , Ming-Fa Lin

We extend an hypergraph representation, introduced by Finkelstein and Roytberg, to unify dynamic programming algorithms in the context of RNA folding with pseudoknots. Classic applications of RNA dynamic programming energy minimization,…

Quantitative Methods · Quantitative Biology 2011-06-21 Yann Ponty , Cédric Saule

RNA molecules are single-stranded analogues of DNA that can fold into various structures which influence their biological function within the cell. RNA structures can be modelled combinatorially in terms of a certain type of graph called an…

Combinatorics · Mathematics 2022-04-14 Vincent Moulton , Taoyang Wu

RNA co-transcriptional folding has long been suspected to play an active role in helping proper native folding of ribozymes and structured regulatory motifs in mRNA untranslated regions. Yet, the underlying mechanisms and coding…

Biomolecules · Quantitative Biology 2007-05-23 A. Xayaphoummine , V. Viasnoff , S. Harlepp , H. Isambert

The study of molecule-target interaction is quite important for drug discovery in terms of target identification, hit identification, pathway study, drug-drug interaction, etc. Most existing methodologies utilize either biomedical network…

Machine Learning · Computer Science 2023-02-07 Jinjiang Guo , Jie Li

We propose a new approach for modelling the process of RNA folding as a graph transformation guided by the global value of free energy. Since the folding process evolves towards a configuration in which the free energy is minimal, the…

Formal Languages and Automata Theory · Computer Science 2016-12-07 Adane Letta Mamuye , Emanuela Merelli , Luca Tesei

Use of an optimization algorithm to improve performance of antennas and electromagnetic structures usually ends up in planar unusual shapes. Using rectangular conducting elements the proposed structures sometimes have connections with only…

Optics · Physics 2015-04-29 David V. Thiel , Morteza Shahpari , Jan Hettenhausen , Andrew Lewis

Besides direct molecular interactions, proteins and nanoparticles embedded in or adsorbed to membranes experience indirect interactions that are mediated by the membranes. These membrane-mediated interactions arise from the membrane…

Soft Condensed Matter · Physics 2024-07-08 Francesco Bonazzi , Thomas R. Weikl

Recent advancements in machine learning techniques for protein folding motivate better results in its inverse problem -- protein design. In this work we introduce a new graph mimetic neural network, MimNet, and show that it is possible to…

Biomolecules · Quantitative Biology 2021-02-09 Moshe Eliasof , Tue Boesen , Eldad Haber , Chen Keasar , Eran Treister

MicroRNAs (miRNAs) are small RNA molecules, about 22 nucleotide long, which post-transcriptionally regulate their target messenger RNAs (mRNAs). They accomplish key roles in gene regulatory networks, ranging from signaling pathways to…

Molecular Networks · Quantitative Biology 2012-10-09 Carla Bosia , Andrea Pagnani , Riccardo Zecchina

We consider the inverse-folding problem for RNA secondary structures: for a given (pseudo-knot-free) secondary structure find a sequence that has that structure as its ground state. If such a sequence exists, the structure is called…

Biological Physics · Physics 2015-06-26 Bernd Burghardt , Alexander K. Hartmann

In this paper we show how to express RNA tertiary interactions via the concepts of tangled diagrams. Tangled diagrams allow to formulate RNA base triples and pseudoknot-interactions and to control the maximum number of mutually crossing…

Combinatorics · Mathematics 2007-12-10 Jing Qin , Christian M. Reidys

Our work is concerned with the generation and targeted design of RNA, a type of genetic macromolecule that can adopt complex structures which influence their cellular activities and functions. The design of large scale and complex…

Biomolecules · Quantitative Biology 2021-02-02 Zichao Yan , William L. Hamilton , Mathieu Blanchette

Using the atomic force microscope based break junction approach, applicable to metal point contacts and single molecule junctions, measurements can be repeated thousands of times resulting in rich data sets characterizing the properties of…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Mark S. Hybertsen

Geometric and structural constraints greatly restrict the selection of folds adapted by protein backbones, and yet, folded proteins show an astounding diversity in functionality. For structure to have any bearing on function, it is thus…

Biological Physics · Physics 2010-04-20 Brinda K. V. , Saraswathi Vishveshwara , Smitha Vishveshwara

The atomic structure, stacking sequences and electronic structure of folded graphene nanoribbons (FGNRs) are investigated by first-principles calculations. It reveals that the common configurations of all FGNRs are racket-like structures…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Wenjin Yin , Yuee Xie , Li-Min Liu , Yuanping Chen , Ru-Zhi Wang , Xiao-Lin Wei , Leo Lau
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