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This paper presents a new stochastic finite element method for computing structural stochastic responses. The method provides a new expansion of stochastic response and decouples the stochastic response into a combination of a series of…

Numerical Analysis · Mathematics 2021-04-28 Zhibao Zheng

Can active forces be exploited to drive the consistent collapse of an active polymer into a folded structure? In this paper we introduce and perform numerical simulations of a simple model of active colloidal folders, and show that a…

Soft Condensed Matter · Physics 2022-02-11 Shibananda Das , Malte Lange , Angelo Cacciuto

Protein secondary structure prediction is an important problem in bioinformatics. Inspired by the recent successes of deep neural networks, in this paper, we propose an end-to-end deep network that predicts protein secondary structures from…

Biomolecules · Quantitative Biology 2016-04-27 Zhen Li , Yizhou Yu

The lack of studying the complex organization of directed network usually limits to the understanding of underlying relationship between network structures and functions. Structural controllability and structural predictability, two…

Physics and Society · Physics 2022-03-31 Fei Jing , Chuang Liu , Jian-Liang Wu , Zi-Ke Zhang

Learning effective protein representations is critical in a variety of tasks in biology such as predicting protein function or structure. Existing approaches usually pretrain protein language models on a large number of unlabeled amino acid…

Machine Learning · Computer Science 2023-01-31 Zuobai Zhang , Minghao Xu , Arian Jamasb , Vijil Chenthamarakshan , Aurelie Lozano , Payel Das , Jian Tang

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

Predicting protein secondary structures such as alpha helices, beta sheets, and coils from amino acid sequences is essential for understanding protein function. This work presents a transformer-based model that applies attention mechanisms…

Artificial Intelligence · Computer Science 2025-12-10 Manzi Kevin Maxime

We seek to understand the interplay between amino acid sequence and local structure in proteins. Are some amino acids unique in their ability to fit harmoniously into certain local structures? What is the role of sequence in sculpting the…

Biomolecules · Quantitative Biology 2021-01-29 Tatjana Škrbić , Amos Maritan , Achille Giacometti , Jayanth R. Banavar

The idea of this project is to study the protein structure and sequence relationship using the hidden markov model and artificial neural network. In this context we have assumed two hidden markov models. In first model we have taken protein…

Machine Learning · Computer Science 2012-06-18 Saurabh Sarkar , Prateek Malhotra , Virender Guman

Empirical data on real complex systems are becoming increasingly available. Parallel to this is the need for new methods of reconstructing (inferring) the topology of networks from time-resolved observations of their node-dynamics. The…

Dynamical Systems · Mathematics 2019-09-16 Marc G. Leguia , Zoran Levnajic , Ljupco Todorovski , Bernard Zenko

Understanding of the evolutionary origins of protein structures represents a key component of the understanding of molecular evolution as a whole. Here we seek to elucidate how the features of an underlying protein structural "space" might…

Soft Condensed Matter · Physics 2009-11-10 Eric J. Deeds , Nikolay V. Dokholyan , Eugene I. Shakhnovich

Network theory-based approaches provide valuable insights into the variations in global structural connectivity between differing dynamical states of proteins. Our objective is to review network-based analyses to elucidate such variations,…

Residue-residue interactions that fold a protein into a unique three-dimensional structure and make it play a specific function impose structural and functional constraints on each residue site. Selective constraints on residue sites are…

Biomolecules · Quantitative Biology 2013-01-18 Sanzo Miyazawa

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

Improving the ability to predict protein function can potentially facilitate research in the fields of drug discovery and precision medicine. Technically, the properties of proteins are directly or indirectly reflected in their sequence and…

Biomolecules · Quantitative Biology 2024-11-19 Runze Ma , Chengxin He , Huiru Zheng , Xinye Wang , Haiying Wang , Yidan Zhang , Lei Duan

We review the recent progress in computational approaches to protein design which builds on advances in statistical-mechanical protein folding theory. In particular, we evaluate the degeneracy of the protein code (i.e. how many sequences…

Condensed Matter · Physics 2007-05-23 E. I. Shakhnovich

Understanding the relationship between the dynamics of neural processes and the anatomical substrate of the brain is a central question in neuroscience. On the one hand, modern neuroimaging technologies, such as diffusion tensor imaging,…

Background: One-dimensional protein structures such as secondary structures or contact numbers are useful for three-dimensional structure prediction and helpful for intuitive understanding of the sequence-structure relationship. Accurate…

Biomolecules · Quantitative Biology 2007-07-09 Akira R. Kinjo , Ken Nishikawa

Motivation: Protein folding is a dynamic process during which a protein's amino acid sequence undergoes a series of 3-dimensional (3D) conformational changes en route to reaching a native 3D structure; the resulting 3D structural…

Biomolecules · Quantitative Biology 2026-04-09 Aydin Wells , Khalique Newaz , Jennifer Morones , Jianlin Cheng , Tijana Milenković

The functionality of proteins is related to their structure in the native state. Protein structures are made up of emergent building blocks of helices and almost planar sheets. A simple coarse-grained geometrical model of a flexible tube…