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The local structure of a protein strongly impacts its function and interactions with other molecules. Therefore, a concise, informative representation of a local protein environment is essential for modeling and designing proteins and…

We carry out a coarse-grained molecular dynamics simulation of phospholipid vesicles with transmembrane proteins. We measure the mean and Gaussian curvatures of our protein-embedded vesicles and quantitatively show how protein clusters…

Soft Condensed Matter · Physics 2011-02-01 Amir Houshang Bahrami , Mir Abbas Jalali

We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

Understanding the observed variability in the number of homologs of a gene is a very important, unsolved problem that has broad implications for research into co-evolution of structure and function, gene duplication, pseudogene formation…

Biomolecules · Quantitative Biology 2007-05-23 Boris Shakhnovich , Eric Deeds , Charles Delisi , Eugene Shakhnovich

Proteins are dynamic, adopting ensembles of conformations. The nature of this conformational heterogenity is imprinted in the raw electron density measurements obtained from X-ray crystallography experiments. Fitting an ensemble of protein…

Quantitative Methods · Quantitative Biology 2024-12-19 Sai Advaith Maddipatla , Nadav Bojan Sellam , Sanketh Vedula , Ailie Marx , Alex Bronstein

Crystallography may be the gold standard of protein structure determination, but obtaining the necessary high-quality crystals is also in some ways akin to prospecting for the precious metal. The tools and models developed in soft matter…

Soft Condensed Matter · Physics 2016-02-10 Diana Fusco , Patrick Charbonneau

Since the pioneering works of Pethig, Grant and Wuthrich on protein hydration layer, many studies have been devoted to find out if there are any general and universal characteristic features that can distinguish water molecules inside the…

Soft Condensed Matter · Physics 2017-08-09 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

This work reports a new methodology aimed at describing characteristics of protein structural shapes, and suggests a framework in which to resolve or classify automatically such structures into known families. This new approach to protein…

Quantitative Methods · Quantitative Biology 2007-05-23 Marconi Soares Barbosa , Rinaldo Wander Montalvao , Tom Blundell , Luciano da Fontoura Costa

Recent years have witnessed a surge in the development of protein structural tokenization methods, which chunk protein 3D structures into discrete or continuous representations. Structure tokenization enables the direct application of…

Quantitative Methods · Quantitative Biology 2025-06-26 Xinyu Yuan , Zichen Wang , Marcus Collins , Huzefa Rangwala

Recently described stochastic models of protein evolution have demonstrated that the inclusion of structural information in addition to amino acid sequences leads to a more reliable estimation of evolutionary parameters. We present a…

Populations and Evolution · Quantitative Biology 2020-09-22 Michael Golden , Eduardo García-Portugués , Michael Sørensen , Kanti V. Mardia , Thomas Hamelryck , Jotun Hein

During the last decade, network approaches became a powerful tool to describe protein structure and dynamics. Here we review the links between disordered proteins and the associated networks, and describe the consequences of local,…

Understanding how monomeric proteins fold under in vitro conditions is crucial to describing their functions in the cellular context. Significant advances both in theory and experiments have resulted in a conceptual framework for describing…

Soft Condensed Matter · Physics 2010-07-20 D. Thirumalai , Edward P. O'Brien , Greg Morrison , Changbong Hyeon

The native structures of proteins, except for notable exceptions of intrinsically disordered proteins, in general take their most stable conformation in the physiological condition to maintain their structural framework so that their…

Biomolecules · Quantitative Biology 2021-10-26 Lyman Monroe , Daisuke Kihara

Protein sequences serve as a natural record of the evolutionary constraints that shape their functional structures. We show that it is possible to use only sequence information to go beyond predicting native structures and global stability…

Biomolecules · Quantitative Biology 2025-07-02 Ezequiel A. Galpern , Ernesto A. Roman , Diego U. Ferreiro

Natural protein sequences that self-assemble to form globular structures are compact with high packing densities in the folded states. It is known that proteins unfold upon addition of denaturants, adopting random coil structures. The…

Biomolecules · Quantitative Biology 2016-12-02 Himadri S. Samanta , Pavel I. Zhuravlev , Michael Hinczewski , Naoto Hori , Shaon Chakrabarti , D. Thirumalai

The majority of the proteins encoded in the genomes of eukaryotes contain more than one domain. Reasons for high prevalence of multi-domain proteins in various organisms have been attributed to higher stability and functional and folding…

Quantitative Methods · Quantitative Biology 2018-08-14 Sneha Vishwanath , Alexandre De Brevern , Narayanaswamy Srinivasan

The growing interest for comparing protein internal dynamics owes much to the realization that protein function can be accompanied or assisted by structural fluctuations and conformational changes. Analogously to the case of functional…

Biomolecules · Quantitative Biology 2012-12-19 C. Micheletti

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learnt how to extract this information so as to predict the detailed, biological active, three-dimensional structure of…

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

Protein representation learning is a challenging task that aims to capture the structure and function of proteins from their amino acid sequences. Previous methods largely ignored the fact that not all amino acids are equally important for…

Machine Learning · Computer Science 2024-04-02 Ruijie Quan , Wenguan Wang , Fan Ma , Hehe Fan , Yi Yang

Many of the concepts which are at the basis of the development associated with a quantitative treatment of the variety of phenomena associated with the spontaneous breaking of gauge symmetry in nuclei have been instrumental in connection…

Nuclear Theory · Physics 2017-08-23 R. A. Broglia