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Protein folding produces characteristic and functional three-dimensional structures from unfolded polypeptides or disordered coils. The emergence of extraordinary complexity in the protein folding process poses astonishing challenges to…

Biomolecules · Quantitative Biology 2013-08-14 Kelin Xia , Guo-Wei Wei

Protein backbone generation plays a central role in de novo protein design and is significant for many biological and medical applications. Although diffusion and flow-based generative models provide potential solutions to this challenging…

Machine Learning · Computer Science 2025-05-29 Angxiao Yue , Zichong Wang , Hongteng Xu

We study a physical system which, while devoid of the complexity one usually associates with proteins, nevertheless displays a remarkable array of protein-like properties. The constructive hypothesis that this striking resemblance is not…

Statistical Mechanics · Physics 2009-11-10 Jayanth R. Banavar , Trinh Xuan Hoang , Amos Maritan , Flavio Seno , Antonio Trovato

Therapeutic peptides show promise in targeting previously undruggable binding sites, with recent advancements in deep generative models enabling full-atom peptide co-design for specific protein receptors. However, the critical role of…

Machine Learning · Computer Science 2026-01-09 Fang Wu , Zhengyuan Zhou , Shuting Jin , Xiangxiang Zeng , Jure Leskovec , Jinbo Xu

Natively unfolded proteins exist as an ensemble of flexible conformations lacking a well defined tertiary structure along a large portion of their polypeptide chain. Despite the absence of a stable configuration, they are involved in…

Genomics · Quantitative Biology 2008-07-14 Antonio Deiana , Andrea Giansanti

We introduce a generative model for protein backbone design utilizing geometric products and higher order message passing. In particular, we propose Clifford Frame Attention (CFA), an extension of the invariant point attention (IPA)…

Machine Learning · Computer Science 2024-11-11 Simon Wagner , Leif Seute , Vsevolod Viliuga , Nicolas Wolf , Frauke Gräter , Jan Stühmer

Recent experimental results suggest that the native fold, or topology, plays a primary role in determining the structure of the transition state ensemble, at least for small fast folding proteins. To investigate the extent of the…

Statistical Mechanics · Physics 2007-05-23 Cecilia Clementi , Hugh Nymeyer , Jose' Nelson Onuchic

Understanding complex biological macromolecules, especially proteins, is vital for grasping their diverse chemical functions with direct impact in biology and pharmacology. While techniques like X-ray crystallography and cryo-electron…

Biomolecules · Quantitative Biology 2024-04-12 S. H. Mejias , A. L. Cortajarena , R. Mincigrucci , C. Svetina , C. Masciovecchio

Combining discrete and continuous data is an important capability for generative models. We present Discrete Flow Models (DFMs), a new flow-based model of discrete data that provides the missing link in enabling flow-based generative models…

Machine Learning · Statistics 2024-06-07 Andrew Campbell , Jason Yim , Regina Barzilay , Tom Rainforth , Tommi Jaakkola

A reliable prediction of 3D protein structures from sequence data remains a big challenge due to both theoretical and computational difficulties. We have previously shown that our kinetostatic compliance method (KCM) implemented into the…

Computational Engineering, Finance, and Science · Computer Science 2017-12-27 Pouya Tavousi , Morad Behandish , Horea T. Ilies , Kazem Kazerounian

Natural protein sequences contain a record of their history. A common constraint in a given protein family is the ability to fold to specific structures, and it has been shown possible to infer the main native ensemble by analyzing…

Biomolecules · Quantitative Biology 2017-03-16 Rocío Espada , R. Gonzalo Parra , Thierry Mora , Aleksandra M. Walczak , Diego U. Ferreiro

Physics-integrated generative modeling is a class of hybrid or grey-box modeling in which we augment the the data-driven model with the physics knowledge governing the data distribution. The use of physics knowledge allows the generative…

Machine Learning · Computer Science 2024-04-19 Sheikh Waqas Akhtar

Protein engineering is experiencing a paradigmatic shift through the integration of geometric deep learning into computational design workflows. While traditional strategies, such as rational design and directed evolution, have enabled…

The next step in the understanding of the genome organization, after the determination of complete sequences, involves proteomics. The proteome includes the whole set of protein-protein interactions, and two recent independent studies have…

Statistical Mechanics · Physics 2007-05-23 Ricard V. Sole , Romualdo Pastor-Satorras , Eric Smith , Thomas B. Kepler

Deep generative models and neural operators have demonstrated significant potential for 3D aerodynamic inference. However, they often face inherent challenges in maintaining physical consistency and preserving high-frequency features,…

Numerical Analysis · Mathematics 2026-04-28 Ruiling Jiang , Yong Zhang , Houbiao Li

Diffusion generative models have emerged as a powerful framework for addressing problems in structural biology and structure-based drug design. These models operate directly on 3D molecular structures. Due to the unfavorable scaling of…

Biomolecules · Quantitative Biology 2024-05-10 Ian Dunn , David Ryan Koes

Estimating three-dimensional conformations of a molecular graph allows insight into the molecule's biological and chemical functions. Fast generation of valid conformations is thus central to molecular modeling. Recent advances in…

Machine Learning · Computer Science 2025-02-18 Sohil Atul Shah , Vladlen Koltun

Cellular differentiation is governed by gene regulatory networks, the high-dimensional stochastic biochemical systems that determine the transcriptional landscape and mediate cellular responses to signals and perturbations. Although…

Molecular Networks · Quantitative Biology 2026-04-29 Suryanarayana Maddu , Victor Chardès , Michael J. Shelley

Important cellular processes, such as cell motility and cell division, are coordinated by cell polarity, which is determined by the non-uniform distribution of certain proteins. Such protein patterns form via an interplay of protein…

Biological Physics · Physics 2020-05-20 Manon C Wigbers , Fridtjof Brauns , Ching Yee Leung , Erwin Frey

Generating new molecules is fundamental to advancing critical applications such as drug discovery and material synthesis. Flows can generate molecules effectively by inverting the encoding process, however, existing flow models either…

Machine Learning · Computer Science 2022-10-14 Yogesh Verma , Samuel Kaski , Markus Heinonen , Vikas Garg
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