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Many native structures of proteins accomodate complex topological motifs such as knots, lassos, and other geometrical entanglements. How proteins can fold quickly even in the presence of such topological obstacles is a debated question in…

Soft Condensed Matter · Physics 2020-10-07 Federico Norbiato , Flavio Seno , Antonio Trovato , Marco Baiesi

The three dimensional structure of a protein is an outcome of the interactions of its constituent amino acids in 3D space. Considering the amino acids as nodes and the interactions among them as edges we have constructed and analyzed…

Biomolecules · Quantitative Biology 2010-07-26 Dhriti Sengupta , Sudip Kundu

Robust control of complex engineered and biological systems hinges on the integration of feedforward and feedback mechanisms. This is exemplified in neural motor control, where feedforward muscle co-contraction complements sensory-driven…

Optimization and Control · Mathematics 2026-03-06 Bastien Berret , Frédéric Jean

The biological functions of proteins often depend on dynamic structural ensembles. In this work, we develop a flow-based generative modeling approach for learning and sampling the conformational landscapes of proteins. We repurpose highly…

Biomolecules · Quantitative Biology 2024-09-04 Bowen Jing , Bonnie Berger , Tommi Jaakkola

We introduce a machine learning approach for extracting fine-grained representations of protein evolution from molecular dynamics datasets. Metastable switching linear dynamical systems extend standard switching models with a…

Machine Learning · Statistics 2016-10-07 Bharath Ramsundar , Vijay S. Pande

Predicting the structure of multi-protein complexes is a grand challenge in biochemistry, with major implications for basic science and drug discovery. Computational structure prediction methods generally leverage pre-defined structural…

Biomolecules · Quantitative Biology 2021-01-26 Stephan Eismann , Raphael J. L. Townshend , Nathaniel Thomas , Milind Jagota , Bowen Jing , Ron O. Dror

Force matching is an established technique to generate effective potentials for molecular dynamics simulations from first-principles data. This method has been implemented in the open source code potfit. Here, we present a review of the…

Proteins are minimally frustrated polymers. However, for realistic protein models non-native interactions must be taken into account. In this paper we analyze the effect of non-native interactions on the folding rate and on the folding free…

Biomolecules · Quantitative Biology 2007-05-23 C. Clementi , S. S. Plotkin

We propose a general framework to extract microscopic interactions from raw configurations with deep neural networks. The approach replaces the modeling Hamiltonian by the neural networks, in which the interaction is encoded. It can be…

Computational Physics · Physics 2020-08-19 Lingxiao Wang , Yin Jiang , Kai Zhou

We present a novel approach to investigate the long-time stochastic dynamics of multi-dimensional classical systems, in contact with a heat-bath. When the potential energy landscape is rugged, the kinetics displays a decoupling of short and…

Soft Condensed Matter · Physics 2013-05-29 O. Corradini , P. Faccioli , H. Orland

A theoretical framework is developed to study the dynamics of protein folding. The key insight is that the search for the native protein conformation is influenced by the rate r at which external parameters, such as temperature, chemical…

Biomolecules · Quantitative Biology 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

In the protein sequence space, natural proteins form clusters of families which are characterized by their unique native folds whereas the great majority of random polypeptides are neither clustered nor foldable to unique structures. Since…

Biomolecules · Quantitative Biology 2018-02-06 Akira R. Kinjo

Proteins typically exist in complexes, interacting with other proteins or biomolecules to perform their specific biological roles. Research on single-chain protein modeling has been extensively and deeply explored, with advancements seen in…

Machine Learning · Computer Science 2025-09-09 Ruizhe Chen , Dongyu Xue , Xiangxin Zhou , Zaixiang Zheng , Xiangxiang Zeng , Quanquan Gu

The paradigm that the primary amino acid sequence prescribes structure and thus function has for a long time been central to the understanding of protein science. Though the theory is supported by the behaviour of most structured proteins,…

Biological Physics · Physics 2022-12-19 Rickie Xian , Sarah Rauscher

We introduce AMix-1, a powerful protein foundation model built on Bayesian Flow Networks and empowered by a systematic training methodology, encompassing pretraining scaling laws, emergent capability analysis, in-context learning mechanism,…

A simple lattice model for proteins that allows for distinct sizes of the amino acids is presented. The model is found to lead to a significant number of conformations that are the unique ground state of one or more sequences or encodable.…

Statistical Mechanics · Physics 2009-10-30 Cristian Micheletti , Jayanth R. Banavar , Amos Maritan , Flavio Seno

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

A novel scheme is introduced to capture the spatial correlations of consecutive amino acids in naturally occurring proteins. This knowledge-based strategy is able to carry out optimally automated subdivisions of protein fragments into…

Soft Condensed Matter · Physics 2007-05-23 Cristian Micheletti , Flavio Seno , Amos Maritan

Quantifying stochastic processes is essential to understand many natural phenomena, particularly in biology, including cell-fate decision in developmental processes as well as genesis and progression of cancers. While various attempts have…

Statistical Mechanics · Physics 2017-06-28 Ying Tang , Ruoshi Yuan , Gaowei Wang , Xiaomei Zhu , Ping Ao

Proteins are essential biological macromolecules that execute life functions. Local structural motifs, such as active sites, are the most critical components for linking structure to function and are key to understanding protein evolution…

Quantitative Methods · Quantitative Biology 2026-04-10 Zhiyu Wang , Bingxin Zhou , Jing Wang , Yang Tan , Weishu Zhao , Pietro Liò , Liang Hong