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In this paper, we introduce multiscale persistent functions for biomolecular structure characterization. The essential idea is to combine our multiscale rigidity functions with persistent homology analysis, so as to construct a series of…

Biomolecules · Quantitative Biology 2016-12-28 Kelin Xia , Zhiming Li , Lin Mu

Over the past decade, deep learning has proven to be a highly effective tool for learning meaningful features from raw data. However, it remains an open question how deep networks perform hierarchical feature learning across layers. In this…

Machine Learning · Computer Science 2025-11-17 Peng Wang , Xiao Li , Can Yaras , Zhihui Zhu , Laura Balzano , Wei Hu , Qing Qu

Revealing the structure of complex biological macromolecules, such as proteins, is an essential step for understanding the chemical mechanisms that determine the diversity of their functions. Synchrotron based x-ray crystallography and…

This paper proposes a new mathematical approach to characterize native protein structures based on the discrete differential geometry of tetrahedron tiles. In the approach, local structure of proteins is classified into finite types…

Biomolecules · Quantitative Biology 2007-05-23 Naoto Morikawa

We tackle the problem of protein secondary structure prediction using a common task framework. This lead to the introduction of multiple ideas for neural architectures based on state of the art building blocks, used in this task for the…

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

Recent advances in generative modeling show that pretrained representations can improve generation as conditioning features or alignment targets. Motivated by this, we study protein representations for predicting structures beyond…

Biomolecules · Quantitative Biology 2026-05-27 Taewon Kim , Hyosoon Jang , Hyunjin Seo , Seonghwan Seo , Hyeongwoo Kim , Wonho Zhung , Mingyeong Shin , Wooyoun Kim , Sungsoo Ahn

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

Predicting the biological function of molecules, be it proteins or drug-like compounds, from their atomic structure is an important and long-standing problem. Function is dictated by structure, since it is by spatial interactions that…

The inner structure of a material is called microstructure. It stores the genesis of a material and determines all its physical and chemical properties. While microstructural characterization is widely spread and well known, the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-16 Seyed Majid Azimi , Dominik Britz , Michael Engstler , Mario Fritz , Frank Mücklich

Peptide classification tasks, such as predicting toxicity and HIV inhibition, are fundamental to bioinformatics and drug discovery. Traditional approaches rely heavily on handcrafted encodings of one-dimensional (1D) peptide sequences,…

Artificial Intelligence · Computer Science 2025-11-14 Vincent Schilling , Akshat Dubey , Georges Hattab

In nature the three-dimensional structure of a protein is encoded in the corresponding gene. In this paper we describe a new method for encoding the three-dimensional structure of a protein into a binary sequence. The feature of the method…

Combinatorics · Mathematics 2007-05-23 Naoto Morikawa

The mechanisms by which a protein's 3D structure can be determined based on its amino acid sequence have long been one of the key mysteries of biophysics. Often simplistic models, such as those derived from geometric constraints, capture…

Biological Physics · Physics 2023-01-02 Nora Molkenthin , J. J. Güven , Steffen Mühle , Antonia S. J. S. Mey

Prediction of ligand binding sites of proteins is a fundamental and important task for understanding the function of proteins and screening potential drugs. Most existing methods require experimentally determined protein holo-structures as…

Quantitative Methods · Quantitative Biology 2023-12-07 Shuo Zhang , Lei Xie

Protein structure prediction is a challenging and unsolved problem in computer science. Proteins are the sequence of amino acids connected together by single peptide bond. The combinations of the twenty primary amino acids are the…

Computational Engineering, Finance, and Science · Computer Science 2015-10-12 Mahmood A. Rashid , Firas Khatib , Abdul Sattar

Proteins employ the information stored in the genetic code and translated into their sequences to carry out well-defined functions in the cellular environment. The possibility to encode for such functions is controlled by the balance…

Biomolecules · Quantitative Biology 2018-05-24 A. Possenti , M. Vendruscolo , C. Camilloni , G. Tiana

Protein structure prediction is pivotal for understanding the structure-function relationship of proteins, advancing biological research, and facilitating pharmaceutical development and experimental design. While deep learning methods and…

Machine Learning · Computer Science 2024-12-30 Kaihui Cheng , Ce Liu , Qingkun Su , Jun Wang , Liwei Zhang , Yining Tang , Yao Yao , Siyu Zhu , Yuan Qi

Proteins play a pivotal role in biological systems. The use of machine learning algorithms for protein classification can assist and even guide biological experiments, offering crucial insights for biotechnological applications. We…

Quantitative Methods · Quantitative Biology 2024-10-24 Yizheng Wang , Yixiao Zhai , Yijie Ding , Quan Zou

Proteins are essential macromolecules defined by their amino acid sequences, which determine their three-dimensional structures and, consequently, their functions in all living organisms. Therefore, generative protein modeling necessitates…

Machine Learning · Computer Science 2024-10-18 Xinyou Wang , Zaixiang Zheng , Fei Ye , Dongyu Xue , Shujian Huang , Quanquan Gu

The correct prediction of protein secondary structures is one of the key issues in predicting the correct protein folded shape, which is used for determining gene function. Existing methods make use of amino acids properties as indices to…

Quantitative Methods · Quantitative Biology 2017-05-01 Jian-Jun Shu , Kian-Yan Yong
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