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The amino acid sequences of proteins provide rich information for inferring distant phylogenetic relationships and for predicting protein functions. Estimating the rate matrix of residue substitutions from amino acid sequences is also…

Biomolecules · Quantitative Biology 2007-05-23 Yan Y. Tseng , Jie Liang

Probabilistic reasoning systems combine different probabilistic rules and probabilistic facts to arrive at the desired probability values of consequences. In this paper we describe the MESA-algorithm (Maximum Entropy by Simulated Annealing)…

Artificial Intelligence · Computer Science 2013-03-25 Gerhard Paaß

In the course of evolution, proteins undergo important changes in their amino acid sequences, while their three-dimensional folded structure and their biological function remain remarkably conserved. Thanks to modern sequencing techniques,…

Biomolecules · Quantitative Biology 2019-10-07 Simona Cocco , Christoph Feinauer , Matteo Figliuzzi , Remi Monasson , Martin Weigt

The goal of protein representation learning is to extract knowledge from protein databases that can be applied to various protein-related downstream tasks. Although protein sequence, structure, and function are the three key modalities for…

Biomolecules · Quantitative Biology 2024-05-14 Eunji Ko , Seul Lee , Minseon Kim , Dongki Kim

The mean spherical approximation (MSA) is a closure relation for pair correlation functions (two-point functions) in statistical physics. It can be applied to a wide range of systems, is computationally fairly inexpensive, and when properly…

High Energy Physics - Theory · Physics 2016-11-07 Arturo Amador , Johan Skule Høye , Kåre Olaussen

Rate-splitting multiple access (RSMA) has emerged as a promising technique for efficient interference management in next-generation wireless networks. While most existing studies focus on downlink and single-cell designs, the modeling and…

Information Theory · Computer Science 2025-12-25 Xinyi Guo , Li You , Qiong Liu , Xiqi Gao , Xiang-Gen Xia

Aligning multiple protein structures can yield valuable information about structural similarities among related proteins, as well as provide insight into evolutionary relationships between proteins in a family. We have developed an…

Biomolecules · Quantitative Biology 2019-11-07 Paul Shealy , Homayoun Valafar

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

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

We demonstrate and characterize a first-principles approach to modeling the mass action dynamics of metabolism. Starting from a basic definition of entropy expressed as a multinomial probability density using Boltzmann probabilities with…

Chemical Physics · Physics 2024-07-10 William R. Cannon , Samuel Britton , Mikahl Banwarth-Kuhn , Mark Alber

Achieving high-performance in multi-object tracking algorithms heavily relies on modeling spatio-temporal relationships during the data association stage. Mainstream approaches encompass rule-based and deep learning-based methods for…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zhonglin Liu , Shujie Chen , Jianfeng Dong , Xun Wang , Di Zhou

We study the thermodynamic behavior of a simple off-lattice model for protein folding. The model is two-dimensional and has two different ``amino acids''. Using numerical simulations of all chains containing eight or ten monomers, we…

chem-ph · Physics 2009-10-28 Anders Irbäck , Frank Potthast

Proteins created by combinatorial methods in vitro are an important source of information for understanding sequence-structure-function relationships. Alignments of folded proteins from combinatorial libraries can be analyzed using methods…

Biomolecules · Quantitative Biology 2007-05-23 Jeffrey B. Endelman , Jesse D. Bloom , Christopher R. Otey , Marco Landwehr , Frances H. Arnold

We develop a theory of aggregation using statistical mechanical methods. An example of a complicated aggregation system with several levels of structures is peptide/protein self-assembly. The problem of protein aggregation is important for…

Biomolecules · Quantitative Biology 2023-07-19 John S. Schreck , Jian-Min Yuan

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

Applications · Statistics 2015-01-19 Abel Rodriguez , Scott C. Schmidler

The structure of a protein is crucial in determining its functionality, and is much more conserved than sequence during evolution. A key task in structural biology is to compare protein structures in order to determine evolutionary…

Methodology · Statistics 2019-11-06 Christopher Fallaize , Peter Green , Kanti Mardia , Stuart Barber

We introduce a lattice model of protein conformations which is able to reproduce second structures of proteins (alpha--helices and beta--sheets). This model is based on the following two main ideas. First, we model backbone parts of amino…

Soft Condensed Matter · Physics 2012-08-01 S. Albeverio , S. V. Kozyrev

Structural and thermodynamic consistency of coarse-graining models across multiple length scales is essential for the predictive role of multi-scale modeling and molecular dynamic simulations that use mesoscale descriptions. Our approach is…

Soft Condensed Matter · Physics 2014-07-04 J. McCarty , A. J. Clark , J. Copperman , M. G. Guenza

Based on the path integral representation of the partition function of a many body system with separable two body interaction we propose a systematic extension of the perturbed static path approximation (PSPA) to lower temperatures.…

Statistical Mechanics · Physics 2009-11-07 Christian Rummel , Joachim Ankerhold

Understanding the intertwined contributions of amino acid sequence and spatial structure is essential to explain protein behaviour. Here, we introduce INFUSSE (Integrated Network Framework Unifying Structure and Sequence Embeddings), a deep…

Quantitative Methods · Quantitative Biology 2025-11-07 Kevin Michalewicz , Mauricio Barahona , Barbara Bravi