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We study the statistical mechanics of RNA secondary structures designed to have an attraction between two different types of structures as a model system for heteropolymer aggregation. The competition between the branching entropy of the…

Biological Physics · Physics 2009-11-11 Vishwesha Guttal , Ralf Bundschuh

Nanopore sensors detect the substructure of individual molecules from modulations in an ion current as molecules pass through them. In this work, we present the classification of features in the substructure as a case study to illustrate…

Biological Physics · Physics 2019-04-03 Niklas Ermann , Kaikai Chen , Ulrich F. Keyser

We preprocess the raw NMR spectrum and extract key characteristic features by using two different methodologies, called equidistant sampling and peak sampling for subsequent substructure pattern recognition; meanwhile may provide the…

Quantitative Methods · Quantitative Biology 2021-07-27 Chongcan Li , Yong Cong , Weihua Deng

Different numerical mappings of the DNA sequences have been studied using a new cluster-scaling method and the well known spectral methods. It is shown, in particular, that the nucleotide sequences in DNA molecules have robust…

Biomolecules · Quantitative Biology 2018-01-31 A. Bershadskii

We present a novel topological classification of RNA secondary structures with pseudoknots. It is based on the topological genus of the circular diagram associated to the RNA base-pair structure. The genus is a positive integer number,…

Biomolecules · Quantitative Biology 2007-05-23 Michael Bon , Graziano Vernizzi , Henri Orland , A. Zee

An RNA molecule is structured on several layers. The primary and most obvious structure is its sequence of bases, i.e. a word over the alphabet {A,C,G,U}. The higher structure is a set of one-to-one base-pairings resulting in a…

Data Structures and Algorithms · Computer Science 2007-05-23 Michael Brinkmeier

Most cellular phenotypes are genetically complex. Identifying the set of genes that are most closely associated with a specific cellular state is still an open question in many cases. Here we study the transcriptional profile of cellular…

Quantitative Methods · Quantitative Biology 2024-06-21 Alda Sabalic , Victoria Moiseeva , Andres Cisneros , Oleg Deryagin , Eusebio Perdiguero , Pura Muñoz-Canoves , Jordi Garcia-Ojalvo

The ability to quickly and accurately identify microbial species in a sample, known as metagenomic profiling, is critical across various fields, from healthcare to environmental science. This paper introduces a novel method to profile…

Genomics · Quantitative Biology 2025-04-10 Riselda Kodra , Hadjer Benmeziane , Irem Boybat , William Andrew Simon

Doped clusters in the gas phase provide nanoconfined model systems for the study of system-bath interactions. To gain insight into interaction mechanisms between chromophores and their environment, the ensemble inhomogeneity has to be…

Chemical Physics · Physics 2022-06-14 Ulrich Bangert , Frank Stienkemeier , Lukas Bruder

Nowadays there is a multitude of measures designed to capture different aspects of network structure. To be able to say if the structure of certain network is expected or not, one needs a reference model (null model). One frequently used…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Petter Holme , Jing Zhao

In a recent paper Siegfried et al. published a new sequence-based structural RNA assay that utilizes mutational profiling to detect base pairing (MaP). Output from MaP provides information about both pairing (via reactivities) and contact…

Quantitative Methods · Quantitative Biology 2014-12-12 Akshay Tambe , Jennifer Doudna , Lior Pachter

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

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

RNA molecules are known to form complex secondary structures including pseudoknots. A systematic framework for the enumeration, classification and prediction of secondary structures is critical to determine the biological significance of…

Biomolecules · Quantitative Biology 2025-12-24 Rayan Ibrahim , Allison H. Moore

In data clustering, it is often desirable to find not just a single partition into clusters but a sequence of partitions that describes the data at different scales (or levels of coarseness). A natural problem then is to analyse and compare…

Algebraic Topology · Mathematics 2025-04-25 Juni Schindler , Mauricio Barahona

Identifying groups of similar objects using clustering approaches is one of the most frequently employed first steps in exploratory biomedical data analysis. Many clustering methods have been developed that pursue different strategies to…

Quantitative Methods · Quantitative Biology 2019-04-30 Christian Wiwie , Richard Röttger , Jan Baumbach

Humans possess an innate ability to group objects by similarity, a cognitive mechanism that clustering algorithms aim to emulate. Recent advances in community detection have enabled the discovery of configurations -- valid hierarchical…

Machine Learning · Computer Science 2025-10-23 Juntang Wang , Hao Wu , Runkun Guo , Yihan Wang , Dongmian Zou , Shixin Xu

In many situations it is desirable to identify clusters that differ with respect to only a subset of features. Such clusters may represent homogeneous subgroups of patients with a disease, such as cancer or chronic pain. We define a…

Methodology · Statistics 2014-07-14 Qian Liu , Guanhua Chen , Michael R. Kosorok , Eric Bair

The description of complex configuration is a difficult issue. We present a powerful technique for cluster identification and characterization. The scheme is designed to treat with and analyze the experimental and/or simulation data from…

Statistical Mechanics · Physics 2013-08-29 Guangcai Zhang , Aiguo Xu , Guo Lu , Zeyao Mo
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