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Proteins are biological polymers that underlie all cellular functions. The first high-resolution protein structures were determined by x-ray crystallography in the 1960s. Since then, there has been continued interest in understanding and…

Soft Condensed Matter · Physics 2017-06-20 Jennifer C. Gaines , Abram H. Clark , Lynne Regan , Corey S. O'Hern

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

A phenomenological model hamiltonian to describe the folding of a protein with any given sequence is proposed. The protein is thought of as a collection of pieces of helices; as a consequence its configuration space increases with the…

Soft Condensed Matter · Physics 2009-10-30 Pierpaolo Bruscolini

The ability to consistently distinguish real protein structures from computationally generated model decoys is not yet a solved problem. One route to distinguish real protein structures from decoys is to delineate the important physical…

Biomolecules · Quantitative Biology 2020-09-01 Alex T. Grigas , Zhe Mei , John D. Treado , Zachary A. Levine , Lynne Regan , Corey S. O'Hern

Numerous studies have investigated the differences and similarities between protein structures determined by solution NMR spectroscopy and those determined by x-ray crystallography. A fundamental question is whether any observed differences…

Biomolecules · Quantitative Biology 2022-10-10 Alex T. Grigas , Zhuoyi Liu , Lynne Regan , Corey S. O'Hern

Dense packing of hydrophobic residues in the cores of globular proteins determines their stability. Recently, we have shown that protein cores possess packing fraction $\phi \approx 0.56$, which is the same as dense, random packing of amino…

Biomolecules · Quantitative Biology 2019-02-22 John D. Treado , Zhe Mei , Lynne Regan , Corey S. O'Hern

Proteins fold to a specific functional conformation with a densely packed hydrophobic core that controls their stability. We develop a geometric, yet all-atom model for proteins that explains the universal core packing fraction of…

Soft Condensed Matter · Physics 2025-03-28 Alex T. Grigas , Zhuoyi Liu , Jack A. Logan , Mark D. Shattuck , Corey S. O'Hern

A reduced model, which can fold both helix and sheet structures, is proposed to study the problem of protein folding. The goal of this model is to find an unbiased effective potential that has included the effects of water and at the same…

Soft Condensed Matter · Physics 2007-05-23 Nan-yow Chen

There have been several studies suggesting that protein structures solved by NMR spectroscopy and x-ray crystallography show significant differences. To understand the origin of these differences, we assembled a database of high-quality…

Biomolecules · Quantitative Biology 2020-08-06 Zhe Mei , John D. Treado , Alex T. Grigas , Zachary A. Levine , Lynne Regan , Corey S. O'Hern

Proteins are composed of chains of amino acids that fold into complex three-dimensional structures. Several key features, such as the radius of gyration, fraction of core amino acids $f_{\rm core}$, packing fraction $\langle \phi\rangle$ of…

Soft Condensed Matter · Physics 2025-11-07 Jack A. Logan , Jacob Sumner , Alex T. Grigas , Mark D. Shattuck , Corey S. OHern

We introduce a method to bring nearly atomistic resolution to coarse-grained models, and we apply the method to proteins. Using a small number of coarse-grained sites (about one per eight atoms) but assigning an independent…

Statistical Mechanics · Physics 2014-10-01 Thomas K. Haxton

A generalized computational method for folding proteins with a fully transferable potential and geometrically realistic all-atom model is presented and tested on seven different helix bundle proteins. The protocol, which includes…

Biomolecules · Quantitative Biology 2009-11-11 Isaac A. Hubner , Eric J. Deeds , Eugene I. Shakhnovich

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials.…

Soft Condensed Matter · Physics 2016-05-05 Yoav Kallus

This paper deepens into the analysis of the protein secondary structure using Frenet frame to describe the curvature and torsion of the discrete curve formed by the protein $\alpha$-carbons. We show how a simple criterion based on the…

Biological Physics · Physics 2025-12-08 M. Prados , M. D. Hernández de la Torre , F. de Soto

A collection of spherical particles can be packed tightly together into an amorphous packing known as "random close packing" (RCP). This structure is of interest as a model for the arrangement of molecules in simple liquids and glasses, as…

Soft Condensed Matter · Physics 2015-03-13 Rei Kurita , Eric R Weeks

The main chain dihedral angles play an important role to decide the protein conformation. The native states of a protein can be regard as an ensemble of a lot of similar conformations, in different conformations the main chain dihedral…

Biomolecules · Quantitative Biology 2016-07-14 Shiyang Long , Pu Tian

Protein structure is generally conceptualized as the global arrangement or of smaller, local motifs of helices, sheets, and loops. These regular, recurring secondary structural elements have well-understood and standardized definitions in…

Biomolecules · Quantitative Biology 2009-11-11 Isaac A. Hubner , Eugene I. Shakhnovich

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

We numerically study structural properties of mechanically stable packings of hard spheres (HS), in a wide range of packing fractions $0.53 \le \phi \le 0.72$. Detailed structural information is obtained from the analysis of orientational…

Soft Condensed Matter · Physics 2014-07-30 Boris A. Klumov , Yuliang Jin , Hernan A. Makse
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