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Some natural proteins display recurrent structural patterns. Despite being highly similar at the tertiary structure level, repetitions within a single repeat protein can be extremely variable at the sequence level. We propose a mathematical…

Biomolecules · Quantitative Biology 2015-10-12 Pablo Turjanski , R. Gonzalo Parra , Rocío Espada , Verónica Becher , Diego U. Ferreiro

We argue that protein native state structures reside in a novel "phase" of matter which confers on proteins their many amazing characteristics. This phase arises from the common features of all globular proteins and is characterized by a…

Biomolecules · Quantitative Biology 2012-04-13 Jayanth R. Banavar , Trinh X. Hoang , Flavio Seno , Antonio Trovato , Amos Maritan

The native conformation of structured proteins is stabilized by a complex network of interactions. We analyzed the elementary patterns that constitute such network and ranked them according to their importance in shaping protein sequence…

Biomolecules · Quantitative Biology 2022-04-11 M. Tajana , A. Trovato , G. Tiana

We study folding dynamics of protein-like sequences on square lattice using physical move set that exhausts all possible conformational changes. By analytically solving the master equation, we follow the time-dependent probabilities of…

Biomolecules · Quantitative Biology 2016-08-16 Sëma Kachalo , Hsiao-Mei Lu , Jie Liang

A protein's function depends critically on its conformational ensemble, a collection of energy weighted structures whose balance depends on temperature and environment. Though recent deep learning (DL) methods have substantially advanced…

Biomolecules · Quantitative Biology 2026-01-09 Myeongsang Lee , Lauren L. Porter

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

Cotranslational folding depends on the folding speed and stability of the nascent protein. It remains difficult, however, to predict which proteins cotranslationally fold. Here, we simulate evolution of model proteins to investigate how…

Biomolecules · Quantitative Biology 2020-10-28 Victor Zhao , William M. Jacobs , Eugene I. Shakhnovich

The primary structure of proteins, that is their sequence, represents one of the most abundant set of experimental data concerning biomolecules. The study of correlations in families of co--evolving proteins by means of an inverse…

Biomolecules · Quantitative Biology 2015-06-16 Sara Lui , Guido Tiana

Proteins perform critical processes in all living systems: converting solar energy into chemical energy, replicating DNA, as the basis of highly performant materials, sensing and much more. While an incredible range of functionality has…

Biomolecules · Quantitative Biology 2021-09-29 Leonardo V. Castorina , Rokas Petrenas , Kartic Subr , Christopher W. Wood

Proteins, by virtue of their central role in most biological processes, represent one of the key subjects of the study of molecular evolution. Inherent to the indispensability of proteins for living cells is the fact that a given protein…

Biomolecules · Quantitative Biology 2007-05-23 Eric J. Deeds , Eugene I. Shakhnovich

Naturally evolving proteins gradually accumulate mutations while continuing to fold to thermodynamically stable native structures. This process of neutral protein evolution is an important mode of genetic change, and forms the basis for the…

Populations and Evolution · Quantitative Biology 2007-05-23 Jesse D Bloom , Alpan Raval , Claus O Wilke

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

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

We solve a model that takes into account entropic barriers, frustration, and the organization of a protein-like molecule. For a chain of size $M$, there is an effective folding transition to an ordered structure. Without frustration, this…

Condensed Matter · Physics 2009-10-28 Carlos J. Camacho

The differing ability of polypeptide conformations to act as the native state of proteins has long been rationalized in terms of differing kinetic accessibility or thermodynamic stability. Building on the successful applications of physical…

Biomolecules · Quantitative Biology 2021-11-29 Matteo Negri , Guido Tiana , Riccardo Zecchina

Using a fast tree-searching algorithm and a Pentium cluster, we enumerated all the sequences and compact conformations (structures) for a protein folding model on a cubic lattice of size $4\times3\times3$. We used two types of amino acids…

Statistical Mechanics · Physics 2016-08-31 Henry Cejtin , Jan Edler , Allan Gottlieb , Robert Helling , Hao Li , James Philbin , Chao Tang , Ned Wingreen

The design of novel protein sequences with targeted functionalities underpins a central theme in protein engineering, impacting diverse fields such as drug discovery and enzymatic engineering. However, navigating this vast combinatorial…

Biomolecules · Quantitative Biology 2024-02-19 Yiheng Zhu , Zitai Kong , Jialu Wu , Weize Liu , Yuqiang Han , Mingze Yin , Hongxia Xu , Chang-Yu Hsieh , Tingjun Hou

The protein design problem involves finding polypeptide sequences folding into a given threedimensional structure. Its rigorous algorithmic solution is computationally demanding, involving a nested search in sequence and structure spaces.…

Quantum Physics · Physics 2024-07-11 Veronica Panizza , Philipp Hauke , Cristian Micheletti , Pietro Faccioli

Among an infinite number of possible folds, nature has chosen only about 1000 distinct folds to form protein structures. Theoretical studies suggest that selected folds are intrinsically more designable than others; these selected folds are…

Soft Condensed Matter · Physics 2009-11-11 Cristiano L. Dias , Martin Grant

In this work we employ various methods of analysis (unfolding simulations and comparative analysis of structures and sequences of proteomes of thermophilic organisms) to show that organisms can follow two major strategies of thermophilic…

Biomolecules · Quantitative Biology 2007-05-23 Igor N. Berezovsky , Eugene I. Shakhnovich
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