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A complete time-parameterized statistical model quantifying the divergent evolution of protein structures in terms of the patterns of conservation of their secondary structures is inferred from a large collection of protein 3D structure…

Quantitative Methods · Quantitative Biology 2023-08-15 Sandun Rajapaksa , Lloyd Allison , Peter J. Stuckey , Maria Garcia de la Banda , Arun S. Konagurthu

Methods for alignment of protein sequences typically measure similarity by using substitution matrix with scores for all possible exchanges of one amino acid with another. Although widely used, the matrices derived from homologous sequence…

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

Protein structure prediction is one of the most important problems in computational biology. The most successful computational approach, also called template-based modeling, identifies templates with solved crystal structures for the query…

Biomolecules · Quantitative Biology 2013-06-20 Jian Peng

Protein language models (pLMs) pre-trained on vast protein sequence databases excel at various downstream tasks but often lack the structural knowledge essential for some biological applications. To address this, we introduce a method to…

Multiple sequence alignment (MSA) data play a crucial role in the study of protein mutations, with contact prediction being a notable application. Existing methods are often model-based or algorithmic and typically do not incorporate…

Methodology · Statistics 2026-01-23 Fan Yang , Zhao Ren , Wen Zhou , Kejue Jia , Robert Jernigan

Proteins are the basic building blocks of life. They usually perform functions by folding to a particular structure. Understanding the folding process could help the researchers to understand the functions of proteins and could also help to…

Computational Engineering, Finance, and Science · Computer Science 2015-10-21 Jianzhu Ma

Markov state models (MSMs) have been demonstrated to be a powerful method for computationally studying intramolecular processes such as protein folding and macromolecular conformational changes. In this article, we present a new approach to…

Biological Physics · Physics 2015-06-18 Matthew R. Perkett , Michael F. Hagan

Sequence-based protein homology detection has been extensively studied and so far the most sensitive method is based upon comparison of protein sequence profiles, which are derived from multiple sequence alignment (MSA) of sequence homologs…

Quantitative Methods · Quantitative Biology 2015-06-18 Jianzhu Ma , Sheng Wang , Zhiyong Wang , Jinbo Xu

This study investigates the current landscape and future directions of protein foundation model research. While recent advancements have transformed protein science and engineering, the field lacks a comprehensive benchmark for fair…

Biomolecules · Quantitative Biology 2025-06-19 Zhangyang Gao , Hao Wang , Cheng Tan , Chenrui Xu , Mengdi Liu , Bozhen Hu , Linlin Chao , Xiaoming Zhang , Stan Z. Li

Evolutionary models measure the probability of amino acid substitutions occurring over different evolutionary distances. We examine various evolutionary models based on empirically derived amino acid substitution matrices. The models are…

Populations and Evolution · Quantitative Biology 2007-05-23 B. Barbiellini , Alexandra Portnova , Anna Chetoukhina , Chia-Hsin Lu , Matteo Pellegrini

This article proposes a novel approach to statistical alignment of nucleotide sequences by introducing a context dependent structure on the substitution process in the underlying evolutionary model. We propose to estimate alignments and…

Statistics Theory · Mathematics 2011-07-18 Ana Arribas-Gil , Catherine Matias

Markov models of character substitution on phylogenies form the foundation of phylogenetic inference frameworks. Early models made the simplifying assumption that the substitution process is homogeneous over time and across sites in the…

Populations and Evolution · Quantitative Biology 2019-06-13 Guy Baele , Mandev S. Gill , Philippe Lemey , Marc A. Suchard

In contrast to their remarkable performance on general knowledge QA, the true abilities of Large Language Models (LLMs) in tasks demanding deep, specialized reasoning, such as in protein biology, have yet to be thoroughly investigated.…

Quantitative Methods · Quantitative Biology 2025-12-30 Dingyi Rong , Zijian Chen , Qi Jia , Kaiwei Zhang , Haotian Lu , Guangtao Zhai , Ning Liu

Advancements in AI for science unlocks capabilities for critical drug discovery tasks such as protein-ligand binding affinity prediction. However, current models overfit to existing oversimplified datasets that does not represent naturally…

Machine Learning · Computer Science 2025-12-02 Ming-Hsiu Wu , Ziqian Xie , Shuiwang Ji , Degui Zhi

Time series of conformational dynamics in proteins are usually evaluated with hidden Markov models (HMMs). This approach works well if the number of states and their connectivity is known. However, for the multi-domain protein Hsp90, a…

We outline a procedure for jointly sampling substitution matrices and multiple sequence alignments, according to an approximate posterior distribution, using an MCMC-based algorithm. This procedure provides an efficient and simple method by…

Quantitative Methods · Quantitative Biology 2015-01-22 Joseph L. Herman , Adrienn Szabó , Instván Miklós , Jotun Hein

Predicting protein stability changes induced by single-point mutations has been a persistent challenge over the years, attracting immense interest from numerous researchers. The ability to precisely predict protein thermostability is…

Biomolecules · Quantitative Biology 2023-12-08 Yijie Zhang , Zhangyang Gao , Cheng Tan , Stan Z. Li

Markov State Models (MSMs) are a powerful framework to reproduce the long-time conformational dynamics of biomolecules using a set of short Molecular Dynamics (MD) simulations. However, precise kinetics predictions of MSMs heavily rely on…

Biomolecules · Quantitative Biology 2018-06-27 Qihua Chen , Jiangyan Feng , Shriyaa Mittal , Diwakar Shukla

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

Understanding complex systems by inferring trajectories from sparse sample snapshots is a fundamental challenge in a wide range of domains, e.g., single-cell biology, meteorology, and economics. Despite advancements in Bridge and Flow…

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