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Sequences of correlated binary patterns can represent many time-series data including text, movies, and biological signals. These patterns may be described by weighted combinations of a few dominant structures that underpin specific…

Machine Learning · Statistics 2019-03-29 Jimmy Gaudreault , Arunabh Saxena , Hideaki Shimazaki

A dynamic system, which is used in the neural network theory, Ising spin glasses and factor analysis, has been investigated. The properties of the connection matrix, which guarantee the coincidence of the set of the fixed points of the…

Disordered Systems and Neural Networks · Physics 2012-03-24 Leonid B. Litinskii

From the spectral plot of the (normalized) graph Laplacian, the essential qualitative properties of a network can be simultaneously deduced. Given a class of empirical networks, reconstruction schemes for elucidating the evolutionary…

Quantitative Methods · Quantitative Biology 2007-05-24 Anirban Banerjee , Jürgen Jost

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

Deep generative models that learn from the distribution of natural protein sequences and structures may enable the design of new proteins with valuable functions. While the majority of today's models focus on generating either sequences or…

Biomolecules · Quantitative Biology 2024-10-03 Chentong Wang , Sarah Alamdari , Carles Domingo-Enrich , Ava Amini , Kevin K. Yang

We carry out a theoretical study of the vibrational and relaxation properties of naturally-occurring proteins with the purpose of characterizing both the folding and equilibrium thermodynamics. By means of a suitable model we provide a full…

Statistical Mechanics · Physics 2007-05-23 Cristian Micheletti , Gianluca Lattanzi , Amos Maritan

Protein-DNA interactions are vital for many processes in living cells, especially transcriptional regulation and DNA modification. To further our understanding of these important processes on the microscopic level, it is necessary that…

Biomolecules · Quantitative Biology 2007-05-23 Jason E Donald , William W Chen , Eugene I Shakhnovich

Time-resolved single-molecule biophysical experiments yield data that contain a wealth of dynamic information, in addition to the equilibrium distributions derived from histograms of the time series. In typical force spectroscopic setups…

Biomolecules · Quantitative Biology 2011-07-14 Michael Hinczewski , Yann von Hansen , Roland R. Netz

Automated identification of protein conformational states from simulation of an ensemble of structures is a hard problem because it requires teaching a computer to recognize shapes. We adapt the naive Bayes classifier from the machine…

Computational Physics · Physics 2020-12-02 David M. Rogers

Eukaryotic cells transmit information by signaling through complex networks of interacting proteins. Here we develop a theoretical and computational framework that relates the biophysics of protein-protein interactions (PPIs) within a…

Molecular Networks · Quantitative Biology 2018-11-26 Ching-Hao Wang , Caleb J. Bashor , Pankaj Mehta

We investigate the folding behavior of protein sequences by numerically studying all sequences with maximally compact lattice model through exhaustive enumeration. We get the prion-like behavior of protein folding. Individual proteins…

Biomolecules · Quantitative Biology 2014-11-18 Yong-Yun Ji , You-Quan Li , Jun-Wen Mao , Xiao-Wei Tang

Complex dynamical systems are often modeled as networks, with nodes representing dynamical units which interact through the network's links. Gene regulatory networks, responsible for the production of proteins inside a cell, are an example…

Statistical Mechanics · Physics 2009-09-30 Zoran Levnajić

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

Investigating relation between various structural patterns found in real-world networks and stability of underlying systems is crucial to understand importance and evolutionary origin of such patterns. We evolve multiplex networks,…

Adaptation and Self-Organizing Systems · Physics 2017-02-22 Sanjiv K. Dwivedi , Sarika Jalan

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

Many iterative and non-iterative methods have been developed for inverse problems associated with Ising models. Aiming to derive an accurate non-iterative method for the inverse problems, we employ the tree-reweighted approximation. Using…

Machine Learning · Statistics 2018-05-30 Takashi Sano

Many real world, complex phenomena have underlying structures of evolving networks where nodes and links are added and removed over time. A central scientific challenge is the description and explanation of network dynamics, with a key test…

Physics and Society · Physics 2014-08-15 Catherine A. Bliss , Morgan R. Frank , Christopher M. Danforth , Peter Sheridan Dodds

Protein contacts contain important information for protein structure and functional study, but contact prediction from sequence remains very challenging. Both evolutionary coupling (EC) analysis and supervised machine learning methods are…

Quantitative Methods · Quantitative Biology 2015-04-09 Jianzhu Ma , Sheng Wang , Zhiyong Wang , Jinbo Xu

We propose an application of molecular information theory to analyze the folding of single domain proteins. We analyze results from various areas of protein science, such as sequence-based potentials, reduced amino acid alphabets, backbone…

Biomolecules · Quantitative Biology 2022-06-30 Ignacio E. Sánchez , Ezequiel A. Galpern , Martín M. Garibaldi , Diego U. Ferreiro

We study the effects of interspecific correlations in a biological coevolution model in which organisms are represented by genomes of bitstrings. We present preliminary results for this model, indicating that these correlations do not…

Populations and Evolution · Quantitative Biology 2007-05-23 Volkan Sevim , Per Arne Rikvold