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The biological properties of proteins are uniquely determined by their structure and dynamics. A protein in solution populates a structural ensemble of metastable configurations around the global fold. From overall rotation to local…

Biological Physics · Physics 2015-12-09 J. Copperman , M. G. Guenza

Protein Structure Prediction (PSP) is an unsolved problem in the field of computational biology. The problem of protein structure prediction is about predicting the native conformation of a protein, while its sequence of amino acids is…

Biomolecules · Quantitative Biology 2022-06-06 Hossein Parineh , Nasser Mozayani

Computational prediction of membrane protein (MP) structures is very challenging partially due to lack of sufficient solved structures for homology modeling. Recently direct evolutionary coupling analysis (DCA) sheds some light on protein…

Biomolecules · Quantitative Biology 2017-05-11 Zhen Li , Sheng Wang , Yizhou Yu , Jinbo Xu

Hamiltonian and action principle (HAP) formulations of plasma physics are reviewed for the purpose of explaining structure preserving numerical algorithms. Geometric structures associated with and emergent from HAP formulations are…

Plasma Physics · Physics 2017-05-24 P. J. Morrison

A typical protein structure is a compact packing of connected alpha-helices and/or beta-strands. We have developed a method for generating the ensemble of compact structures a given set of helices and strands can form. The method is tested…

Statistical Mechanics · Physics 2009-11-07 Eldon Emberly , Ned Wingreen , Chao Tang

We propose a new deterministic methodology to predict RNA sequence and protein folding. Is stem enough for structure prediction? The main idea is to consider all possible stem formation in the given sequence. With the stem loop energy and…

Discrete Mathematics · Computer Science 2022-01-19 Mengyi Tang , Kumbit Hwang , Sung Ha Kang

In the past years, the folding kinetics of many small single-domain proteins has been characterized by mutational Phi-value analysis. In this article, a simple, essentially parameter-free model is introduced which derives folding routes…

Biomolecules · Quantitative Biology 2007-05-23 Thomas R. Weikl

An all-atom model of proteins is used to show that the same sequence of amino acids can have many alternative structures, that are very distant from, and that can be as stable as, the corresponding native structure. Such alternative…

Biological Physics · Physics 2008-02-11 Leonor Cruzeiro

Designing novel proteins with desired functions is crucial in biology and chemistry. However, most existing work focus on protein sequence design, leaving protein sequence and structure co-design underexplored. In this paper, we propose…

Machine Learning · Computer Science 2023-10-05 Zhenqiao Song , Yunlong Zhao , Yufei Song , Wenxian Shi , Yang Yang , Lei Li

In a similar way in which the folding of single--domain proteins provide an important test in the study of self--organization, the folding of homodimers constitute a basic challenge in the quest for the mechanisms which are at the basis of…

Soft Condensed Matter · Physics 2007-05-23 G. Tiana , R. A. Broglia

We present a method to investigate the kinetics of protein folding on a long time-scale and the dynamics underlying the formation of secondary and tertiary structures during the entire reaction. The approach is based on the formal analogy…

Biomolecules · Quantitative Biology 2009-11-11 P. Faccioli , M. Sega , F. Pederiva , H. Orland

Accurate protein structural ensembles can be determined with metainference, a Bayesian inference method that integrates experimental information with prior knowledge of the system and deals with all sources of uncertainty and errors as well…

Quantitative Methods · Quantitative Biology 2019-01-24 Thomas Löhr , Carlo Camilloni , Massimiliano Bonomi , Michele Vendruscolo

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

Instead of conformation states of single residues, refined conformation states of quintuplets are proposed to reflect conformation correlation. Simple hidden Markov models combining with sliding window scores are used for predicting…

Biomolecules · Quantitative Biology 2007-05-23 Wei-Mou Zheng

Intricate comparison between two given tertiary structures of proteins is as important as the comparison of their functions. Several algorithms have been devised to compute the similarity and dissimilarity among protein structures. But,…

Computational Geometry · Computer Science 2013-09-26 Ranjeet Kumar Rout , Pabitra Pal Choudhury , B. S. Daya Sagar , Sk. Sarif Hassan

The functionality of proteins is related to their structure in the native state. Protein structures are made up of emergent building blocks of helices and almost planar sheets. A simple coarse-grained geometrical model of a flexible tube…

This paper proposes a new mathematical framework that can be applied to biological problems such as analysis of the structures of proteins and protein complexes. In particular, it gives a new method for encoding the three-dimensional…

Combinatorics · Mathematics 2007-05-23 Naoto Morikawa

The assembly of banana-shaped rodlike proteins on membranes, and the associated membrane shape transformations, are investigated by analytical theory and coarse-grained simulations. The membrane-mediated interactions between two…

Soft Condensed Matter · Physics 2017-05-15 Hiroshi Noguchi , Jean-Baptiste Fournier

The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

Proteins are fundamental biological entities mediating key roles in cellular function and disease. This paper introduces a multi-scale graph construction of a protein -- HoloProt -- connecting surface to structure and sequence. The surface…

Machine Learning · Computer Science 2022-04-06 Vignesh Ram Somnath , Charlotte Bunne , Andreas Krause