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In contrast to proteins much less attention has been focused on development of computational models for describing RNA molecules, which are being recognized as playing key roles in many cellular functions. Current atomically detailed force…

Biomolecules · Quantitative Biology 2014-02-28 Changbong Hyeon , Natalia A. Denesyuk , D. Thirumalai

We have developed a simple, phenomenological, Monte-Carlo code that predicts the three-dimensional structure of globular proteins from the DNA sequences that define them. We have applied this code to two small proteins, the villin headpiece…

High Energy Physics - Lattice · Physics 2015-06-25 Michael Cahill , Mark Fleharty , Kevin Cahill

A comparative classification scheme provides a good basis for several approaches to understand proteins, including prediction of relations between their structure and biological function. But it remains a challenge to combine a…

Biomolecules · Quantitative Biology 2015-05-20 Shuangwei Hu , Andrei Krokhotin , Antti J. Niemi , Xubiao Peng

Recently, we presented a framework for understanding protein structure based on the idea that simple constructs of holding hands or touching of objects can be used to rationalize the common characteristics of globular proteins. We developed…

Soft Condensed Matter · Physics 2023-06-21 Tatjana Škrbić , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Jayanth R. Banavar

Rotation representations are foundational in fields such as computer graphics, robotics, and machine learning, where precise and efficient modeling of 3D orientations is critical. This paper comprehensively investigates diverse…

Graphics · Computer Science 2026-05-12 Aizierjiang Aiersilan , Haochen Liu , James Hahn

Proteins are an important class of biomolecules that serve as essential building blocks of the cells. Their three-dimensional structures are responsible for their functions. In this thesis we have investigated the protein structures using a…

Molecular Networks · Quantitative Biology 2007-11-19 Ganesh Bagler

Lattice-model simulations and experiments of some small proteins suggest that folding is essentially controlled by a few conserved contacts. Residues of these conserved contacts form the minimum set of native contacts needed to ensure…

Biomolecules · Quantitative Biology 2011-09-14 Wei-Mou Zheng , Hui Zeng , Dong-Bo Bu , Ming-Fu Shao , Ke-Song Liu , Chao Wang

The beautiful structures of single and multi-domain proteins are clearly ordered in some fashion but cannot be readily classified using group theory methods that are successfully used to describe periodic crystals. For this reason, protein…

Soft Condensed Matter · Physics 2021-03-02 Debayan Chakraborty , Mauro Lorenzo Mugnai , D. Thirumalai

We show that the contact map of the native structure of globular proteins can be reconstructed starting from the sole knowledge of the contact map's principal eigenvector, and present an exact algorithm for this purpose. Our algorithm…

Biomolecules · Quantitative Biology 2009-11-10 Markus Porto , Ugo Bastolla , H. Eduardo Roman , Michele Vendruscolo

Spatially proximate amino acids in a protein tend to coevolve. A protein's three-dimensional (3D) structure hence leaves an echo of correlations in the evolutionary record. Reverse engineering 3D structures from such correlations is an open…

Quantitative Methods · Quantitative Biology 2013-01-15 Magnus Ekeberg , Cecilia Lövkvist , Yueheng Lan , Martin Weigt , Erik Aurell

Local protein structure analysis is informative to protein structure analysis and has been used successfully in protein structure prediction and others. Proteins have recurring structural features, such as helix caps and beta turns, which…

Combinatorics · Mathematics 2007-10-26 Naoto Morikawa

We propose an algorithmic strategy for improving the efficiency of Monte Carlo searches for the low-energy states of proteins. Our strategy is motivated by a model of how proteins alter their shapes. In our model when proteins fold under…

Soft Condensed Matter · Physics 2009-11-07 Michael Cahill , Sean Cahill , Kevin Cahill

While solid-state protein junctions have shown efficient electron transport over lengths that surpass those of conventional organic semiconducting systems, interfacial or contact effects may obscure the intrinsic protein charge transport…

Biological Physics · Physics 2025-04-29 Sudipta Bera , Ayelet Vilan , Sourav Das , Israel Pecht , David Ehre , Mordechai Sheves , David Cahen

Proteins appear to be the most dramatic natural example of self-organized criticality (SOC), a concept that explains many otherwise apparently unlikely phenomena. Protein conformational functionality is often dominated by long-range…

Soft Condensed Matter · Physics 2010-11-19 J. C. Phillips

The generation of protein crystals is necessary for the study of protein molecular function and structure. This is done empirically by processing large numbers of crystallization trials and inspecting them regularly in search of those with…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Soheil Ghafurian , Peter Orth , Corey Strickland , Hua Su , Sangita Patel , Steven Soisson , Belma Dogdas

Loop extrusion convincingly describes how certain Structural Maintenance of Chromosome (SMC) proteins mediate the formation of large DNA loops. Yet, most of the existing computational models cannot reconcile recent in vitro observations…

Soft Condensed Matter · Physics 2022-01-12 Andrea Bonato , Davide Michieletto

Protein structure prediction is one of the most important problems in computational biology. The most successful computational approach, also called template-based modeling, identifies templates with solved crystal structures for the query…

Biomolecules · Quantitative Biology 2013-06-20 Jian Peng

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

Accurately modeling protein 3D structure is essential for the design of functional proteins. An important sub-task of structure modeling is protein side-chain packing: predicting the conformation of side-chains (rotamers) given the…

Biomolecules · Quantitative Biology 2023-11-29 Gian Marco Visani , William Galvin , Michael Neal Pun , Armita Nourmohammad

A multitude of measures have been proposed to quantify the similarity between protein 3-D structure. Among these measures, contact map overlap (CMO) maximization deserved sustained attention during past decade because it offers a fine…

Quantitative Methods · Quantitative Biology 2009-04-20 Rumen Andonov , Nicola Yanev , Noël Malod-Dognin