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By using a mixture model for the density distribution of the three pseudobond angles formed by $C_\alpha$ atoms of four consecutive residues, the local structural states are discretized as 17 conformational letters of a protein structural…

Biomolecules · Quantitative Biology 2007-05-23 Wei-Mou Zheng , Xin Liu

The spectrum and scale of fluctuations in protein structures affect the range of cell phenomena, including stability of protein structures or their fragments, allosteric transitions and energy transfer. The study presents a…

Biomolecules · Quantitative Biology 2015-05-13 Anatoly M. Ruvinsky , Ilya A. Vakser

Recently, many generative models for de novo protein structure design have emerged. Yet, only few tackle the difficult task of directly generating fully atomistic structures jointly with the underlying amino acid sequence. This is…

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

Protein design is a fundamental challenge in biotechnology, aiming to design novel sequences with specific functions within the vast space of possible proteins. Recent advances in deep generative models have enabled function-based protein…

Machine Learning · Computer Science 2025-10-15 Nuowei Liu , Jiahao Kuang , Yanting Liu , Tao Ji , Changzhi Sun , Man Lan , Yuanbin Wu

Complex systems, such as life and languages, are governed by principles of evolution. The analogy and comparison between biology and linguistics\cite{alphafold2, RoseTTAFold, lang_virus, cell language, faculty1, language of gene, Protein…

Populations and Evolution · Quantitative Biology 2026-03-18 Li-Min Wang , Hsing-Yi Lai , Sun-Ting Tsai , Chen Siang Ng , Kevin Sheng-Kai Ma , Shan-Jyun Wu , Meng-Xue Tsai , Yi-Ching Su , Daw-Wei Wang , Tzay-Ming Hong

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

Composed of amino acid chains that influence how they fold and thus dictating their function and features, proteins are a class of macromolecules that play a central role in major biological processes and are required for the structure,…

Quantitative Methods · Quantitative Biology 2022-07-15 Aaron Wang

What are the structural determinants of protein sequence evolution? A number of site-specific structural characteristics have been proposed, most of which are broadly related to either the density of contacts or the solvent accessibility of…

Biological Physics · Physics 2017-01-31 Amir Shahmoradi , Claus Wilke

In this work, we discovered a fundamental connection between selection for protein stability and emergence of preferred structures of proteins. Using standard exact 3-dimensional lattice model we evolve sequences starting from random ones…

Genomics · Quantitative Biology 2007-05-23 Konstantin B. Zeldovich , Igor N. Berezovsky , Eugene I. Sha

Proteins are the fundamental macromolecules that play diverse and crucial roles in all living matter and have tremendous implications in healthcare, manufacturing, and biotechnology. Their functions are largely determined by the sequences…

Biomolecules · Quantitative Biology 2024-09-17 Boqiao Lai

How typical elements that shape organisms, such as protein secondary structures, have evolved, or how evolutionarily susceptible/resistant they are to environmental changes, are significant issues in evolutionary biology, structural…

Biological Physics · Physics 2025-03-18 Tomoei Takahashi , George Chikenji , Kei Tokita , Yoshiyuki Kabashima

Classical population genetics a priori assigns fitness to alleles without considering molecular or functional properties of proteins that these alleles encode. Here we study population dynamics in a model where fitness can be inferred from…

Biomolecules · Quantitative Biology 2007-05-29 Konstantin Zeldovich , Peiqiu Chen , Eugene Shakhnovich

Much information is stored in amino acid composition of protein and base composition of DNA. We simulated the evolution of amino acid frequencies and genomic GC content by a linguistic model. It is showed that the evolution of genetic code…

Genomics · Quantitative Biology 2007-05-23 Dirson Jian Li

The enormous diversity of life forms thriving in drastically different environmental milieus involves a complex interplay among constituent proteins interacting with each other. However, the organizational principles characterizing the…

Molecular Networks · Quantitative Biology 2024-01-30 Vikram Singh , Vikram Singh

Since the Hadean era of Earth's history, peptides/proteins and RNA have undergone a complex evolutionary trajectory. Originating from simple monomeric units, these molecules evolved abiotically under various biochemical and biophysical…

Biological Physics · Physics 2025-05-06 Michal H. Kolář , Klára Hlouchová

In order to study unknown proteins on a large scale, a reference system has been set up for the three major eukaryotic lineages, built with 36 proteomes as taxonomically diverse as possible. Proteins from 362 eukaryotic proteomes with no…

Genomics · Quantitative Biology 2022-09-23 Yves-Henri Sanejouand

The three dimensional structure of a protein is an outcome of the interactions of its constituent amino acids in 3D space. Considering the amino acids as nodes and the interactions among them as edges we have constructed and analyzed…

Biomolecules · Quantitative Biology 2010-07-26 Dhriti Sengupta , Sudip Kundu

Proteins, essential to biological systems, perform functions intricately linked to their three-dimensional structures. Understanding the relationship between protein structures and their amino acid sequences remains a core challenge in…

Quantitative Methods · Quantitative Biology 2024-11-04 Liang He , Peiran Jin , Yaosen Min , Shufang Xie , Lijun Wu , Tao Qin , Xiaozhuan Liang , Kaiyuan Gao , Yuliang Jiang , Tie-Yan Liu

It has been conjectured that evolution exerted pressure to preserve amino acids bearing thermodynamic, kinetic, and functional roles. In this letter we show that the physical requirement to maintain protein stability gives rise to a…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Leonid A. Mirny , Eugene I. Shakhnovich