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In spite of decades of research, much remains to be discovered about folding: the detailed structure of the initial (unfolded) state, vestigial folding instructions remaining only in the unfolded state, the interaction of the molecule with…

Biological Physics · Physics 2018-11-26 Walter A. Simmons

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

An effective potential function is critical for protein structure prediction and folding simulation. Simplified protein models such as those requiring only $C_\alpha$ or backbone atoms are attractive because they enable efficient search of…

Biomolecules · Quantitative Biology 2007-05-23 Jinfeng Zhang , Rong Chen , Jie Liang

We introduce a powerful iterative algorithm to compute protein folding pathways, with realistic all-atom force fields. Using the path integral formalism, we explicitly derive a modified Langevin equation which samples directly the ensemble…

Biological Physics · Physics 2017-05-08 S. Orioli , S. A Beccara , P. Faccioli

Generative models emerge as promising candidates for novel sequence-data driven approaches to protein design, and for the extraction of structural and functional information about proteins deeply hidden in rapidly growing sequence…

Biomolecules · Quantitative Biology 2021-11-10 Jeanne Trinquier , Guido Uguzzoni , Andrea Pagnani , Francesco Zamponi , Martin Weigt

Due to the time-scale limitations of all-atom simulation of proteins, there has been substantial interest in coarse-grained approaches. Some methods, like "Resolution Exchange," [E. Lyman et al., Phys. Rev. Lett. 96, 028105 (2006)] can…

Biological Physics · Physics 2007-05-23 F. Marty Ytreberg , Svetlana Kh. Aroutiounian , Daniel M. Zuckerman

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learned how to extract this information to predict the three--dimensional, biologically active, native conformation of…

Biomolecules · Quantitative Biology 2009-11-10 R. A. Broglia , G. Tiana

Quantum-chemical fragmentation methods offer an efficient approach for the treatment of large proteins, in particular if local target quantities such as protein--ligand interaction energies, enzymatic reaction energies, or spectroscopic…

Chemical Physics · Physics 2024-07-17 Mario Wolter , Moritz von Looz , Henning Meyerhenke , Christoph R. Jacob

This paper proposes a new mathematical approach to characterize native protein structures based on the discrete differential geometry of tetrahedron tiles. In the approach, local structure of proteins is classified into finite types…

Biomolecules · Quantitative Biology 2007-05-23 Naoto Morikawa

By folding into particular 3D structures, proteins play a key role in living beings. To learn meaningful representation from a protein structure for downstream tasks, not only the global backbone topology but the local fine-grained…

Biomolecules · Quantitative Biology 2025-02-05 Jiahan Li , Shitong Luo , Congyue Deng , Chaoran Cheng , Jiaqi Guan , Leonidas Guibas , Jian Peng , Jianzhu Ma

A new general algorithm for optimization of potential functions for protein folding is introduced. It is based upon gradient optimization of the thermodynamic stability of native folds of a training set of proteins with known structure. The…

Condensed Matter · Physics 2009-11-10 Ole Winther , Anders Krogh

Inferring the structural properties of a protein from its amino acid sequence is a challenging yet important problem in biology. Structures are not known for the vast majority of protein sequences, but structure is critical for…

Machine Learning · Computer Science 2019-10-17 Tristan Bepler , Bonnie Berger

Protein folding is one of the age-old biological problems that refers to the mechanism of understanding and predicting how a protein's linear sequence of amino acids folds into its specific three dimensional structure.This structure is…

Sequences of nucleotides (for DNA and RNA) or amino acids (for proteins) are central objects in biology. Among the most important computational problems is that of sequence alignment, i.e. arranging sequences from different organisms in…

Quantitative Methods · Quantitative Biology 2020-12-08 Anna Paola Muntoni , Andrea Pagnani , Martin Weigt , Francesco Zamponi

The ability to computationally generate novel yet physically foldable protein structures could lead to new biological discoveries and new treatments targeting yet incurable diseases. Despite recent advances in protein structure prediction,…

Biomolecules · Quantitative Biology 2022-11-28 Kevin E. Wu , Kevin K. Yang , Rianne van den Berg , James Y. Zou , Alex X. Lu , Ava P. Amini

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

Understanding the principles of protein folding is a cornerstone of computational biology, with implications for drug design, bioengineering, and the understanding of fundamental biological processes. Lattice protein folding models offer a…

Disordered Systems and Neural Networks · Physics 2025-08-08 Shoummo Ahsan Khandoker , Estelle M. Inack , Mohamed Hibat-Allah

We present a novel technique of sampling the configurations of helical proteins. Assuming knowledge of native secondary structure, we employ assembly rules gathered from a database of existing structures to enumerate the geometrically…

Soft Condensed Matter · Physics 2009-09-25 Boris Fain , Michael Levitt

Repeat proteins are made with tandem copies of similar amino acid stretches that fold into elongated architectures. Due to their symmetry, these proteins constitute excellent model systems to investigate how evolution relates to structure,…

Biomolecules · Quantitative Biology 2022-10-12 Ezequiel A. Galpern , Jacopo Marchi , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

The notion of energy landscapes provides conceptual tools for understanding the complexities of protein folding and function. Energy Landscape Theory indicates that it is much easier to find sequences that satisfy the "Principle of Minimal…

Biomolecules · Quantitative Biology 2013-06-13 R. Gonzalo Parra , Rocío Espada , Ignacio E. Sánchez , Manfred J. Sippl , Diego U. Ferreiro