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The idea of this project is to study the protein structure and sequence relationship using the hidden markov model and artificial neural network. In this context we have assumed two hidden markov models. In first model we have taken protein…

Machine Learning · Computer Science 2012-06-18 Saurabh Sarkar , Prateek Malhotra , Virender Guman

The inter-molecular structure of semidilute polymer solutions is studied theoretically. The low density limit of a generalized Ornstein-Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the…

Soft Condensed Matter · Physics 2009-10-31 M. Fuchs , M. Müller

Atomic packing is an important metric for characterizing protein structures, as it significantly influences various features including the stability, the rate of evolution and the functional roles of proteins. Packing in protein structures…

Biomolecules · Quantitative Biology 2025-05-27 Sotirios Touliopoulos , Nicholas M. Glykos

The calculation of Euclidean distance between points is generalized to one-dimensional objects such as strings or polymers. Necessary and sufficient conditions for the minimal transformation between two polymer configurations are derived.…

Soft Condensed Matter · Physics 2009-11-13 Ali R. Mohazab , Steven S. Plotkin

The choice of structural resolution is a fundamental aspect of protein modelling, determining the balance between descriptive power and interpretability. Although atomistic simulations provide maximal detail, much of this information is…

Biomolecules · Quantitative Biology 2025-10-23 Margherita Mele , Raffaele Fiorentini , Thomas Tarenzi , Giovanni Mattiotti , Raffaello Potestio

The lifetime of protein domains and ligand-receptor complexes under force is crucial for mechanosensitive functions, while many aspects of how force affects the lifetime still remain poorly understood. Here, we report a new analytical…

Biological Physics · Physics 2018-02-15 Shiwen Guo , Qingnan Tang , Mingxi Yao , Shimin Le , Hu Chen , Jie Yan

Many aspects of the study of protein folding and dynamics have been affected by the recent advances in machine learning. Methods for the prediction of protein structures from their sequences are now heavily based on machine learning tools.…

Biological Physics · Physics 2019-11-25 Frank Noé , Gianni De Fabritiis , Cecilia Clementi

Proteins are the fundamental macromolecules that play diverse and crucial roles in all living matter and have tremendous implications in healthcare, manufacturing, and biotechnology. Their functions are largely determined by the sequences…

Biomolecules · Quantitative Biology 2024-09-17 Boqiao Lai

Protein design has the potential to revolutionize biotechnology and medicine. While most efforts have focused on proteins with well-defined structures, increased recognition of the functional significance of intrinsically disordered…

Biomolecules · Quantitative Biology 2025-09-17 Giulio Tesei , Francesco Pesce , Kresten Lindorff-Larsen

The protein folding problem has attracted an increasing attention from physicists. The problem has a flavor of statistical mechanics, but possesses the most common feature of most biological problems -- the profound effects of evolution. I…

Statistical Mechanics · Physics 2009-10-31 Chao Tang

Proteins control many vital functions in living cells, such as cell growth and cell division. Reliable coordination of these functions requires the spatial and temporal organizaton of proteins inside cells, which encodes information about…

Biological Physics · Physics 2022-02-22 Tom Burkart , Manon C. Wigbers , Laeschkir Würthner , Erwin Frey

An approach that combines Self-Organizing maps, hierarchical clustering and network components is presented, aimed at comparing protein conformational ensembles obtained from multiple Molecular Dynamic simulations. As a first result the…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Domenico Fraccalvieri , Laura Bonati , Fabio Stella

We introduce a formalism for the geometry of eukaryotic cells and organisms.Cells are taken to be star-convex with good biological reason. This allows for a convenient description of their extent in space as well as all manner of cell…

Other Quantitative Biology · Quantitative Biology 2014-10-03 Nadya Morozova , Robert Penner

Understanding the geometry and topology of configuration or conformational spaces of molecules has relevant applications in chemistry and biology such as the proteins folding problem, drug design and the structure activity relationship…

Quantitative Methods · Quantitative Biology 2019-07-19 Ingrid Membrillo-Solis , Mariam Pirashvili , Lee Steinberg , Jacek Brodzki , Jeremy G. Frey

Tree structures appear in many fields of the life sciences, including phylogenetics, developmental biology and nucleic acid structures. Trees can be used to represent RNA secondary structures, which directly relate to the function of…

Machine Learning · Computer Science 2026-01-22 Pengyu Liu , Mariel Vázquez , Nataša Jonoska

Proteins are intricate molecular machines whose complexity arises from the heterogeneity of the amino acid building blocks and their dynamic network of many-body interactions. These nanomachines gain function when put in the context of a…

Biomolecules · Quantitative Biology 2023-12-14 John M. McBride , Tsvi Tlusty

Proteins perform much of the work in living organisms, and consequently the development of efficient computational methods for protein representation is essential for advancing large-scale biological research. Most current approaches…

Quantitative Methods · Quantitative Biology 2023-06-09 Francesco Ceccarelli , Lorenzo Giusti , Sean B. Holden , Pietro Liò

We propose a model that explains the hierarchical organization of proteins in fold families. The model, which is based on the evolutionary selection of proteins by their native state stability, reproduces patterns of amino acids conserved…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Eugene I. Shakhnovich

Elastic network models, simple structure-based representations of biomolecules where atoms interact via short-range harmonic potentials, provide great insight into a molecule's internal dynamics and mechanical properties at extremely low…

Soft Condensed Matter · Physics 2018-12-12 Patrick Diggins , Changjiang Liu , Markus Deserno , Raffaello Potestio

We study the following two maximization problems related to spanning trees in the Euclidean plane. It is not known whether or not these problems are NP-hard. We present approximation algorithms with better approximation ratios for both…

Computational Geometry · Computer Science 2020-10-09 Ahmad Biniaz