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We study the problem of deciding whether a crease pattern can be folded by simple folds (folding along one line at a time) under the infinite all-layers model introduced by [Akitaya et al., 2017], in which each simple fold is defined by an…

Computational Geometry · Computer Science 2019-01-25 Hugo A. Akitaya , Cordelia Avery , Joseph Bergeron , Erik D. Demaine , Justin Kopinsky , Jason Ku

Molecular dynamics simulations of folding in an off-lattice protein model reveal a nucleation scenario, in which a few well-defined contacts are formed with high probability in the transition state ensemble of conformations. Their…

Statistical Mechanics · Physics 2009-09-25 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

One aspect of evaluating the design for an experiment is the discovery of the relationships between subspaces of the data space. Initially we establish the notation and methods for evaluating an experiment with a single randomization.…

Statistics Theory · Mathematics 2009-11-23 C. J. Brien , R. A. Bailey

The design of a biodegradable, environmentally friendly surfactant is carried out, taking the structure of a known surfactant that lacks these qualities as the starting point, using mesoscopic computer simulations. The newly designed…

Soft Condensed Matter · Physics 2014-06-13 A. Gama Goicochea

We have investigated the potential energy surfaces for glycine chains consisting of three and six amino acids. For these molecules we have calculated potential energy surfaces as a function of the Ramachandran angles phi and psi, which are…

Biological Physics · Physics 2007-05-23 Alexander V. Yakubovitch , Ilia A. Solov'yov , Andrey V. Solov'yov , Walter Greiner

Different aspects of protein folding are illustrated by simplified polymer models. Stressing the diversity of side chains (residues) leads one to view folding as the freezing transition of an heteropolymer. Technically, the most common…

Soft Condensed Matter · Physics 2007-05-23 T. Garel

Understanding of the evolutionary origins of protein structures represents a key component of the understanding of molecular evolution as a whole. Here we seek to elucidate how the features of an underlying protein structural "space" might…

Soft Condensed Matter · Physics 2009-11-10 Eric J. Deeds , Nikolay V. Dokholyan , Eugene I. Shakhnovich

Protein-protein interactions (PPIs) are associated with various diseases, including cancer, infections, and neurodegenerative disorders. Obtaining three-dimensional structural information on these PPIs serves as a foundation to interfere…

Biomolecules · Quantitative Biology 2024-07-24 Xiaotong Xu , Alexandre M. J. J. Bonvin

To determine the 3D conformation of proteins is a necessity to understand their functions or interactions with other molecules. It is commonly admitted that, when proteins fold from their primary linear structures to their final 3D…

Biomolecules · Quantitative Biology 2013-06-07 Jacques M. Bahi , Wojciech Bienia , Nathalie Côté , Christophe Guyeux

We analyze a (1+1)-dimension directed random walk model of a polymer dipped in a medium constituted by two immiscible solvents separated by a flat interface. The polymer chain is heterogeneous in the sense that a single monomer may…

Probability · Mathematics 2007-05-23 Erwin Bolthausen , Giambattista Giacomin

Motivation. Protein design aims to identify sequences compatible with a given protein fold but incompatible to any alternative folds. To select the correct sequences and to guide the search process, a design scoring function is critically…

Biomolecules · Quantitative Biology 2007-05-23 Changyu Hu , Xiang Li , Jie Liang

This paper demonstrates that language models are strong structure-based protein designers. We present LM-Design, a generic approach to reprogramming sequence-based protein language models (pLMs), that have learned massive sequential…

Machine Learning · Computer Science 2023-02-10 Zaixiang Zheng , Yifan Deng , Dongyu Xue , Yi Zhou , Fei YE , Quanquan Gu

We study a fundamental problem in structure-based drug design -- generating molecules that bind to specific protein binding sites. While we have witnessed the great success of deep generative models in drug design, the existing methods are…

Biomolecules · Quantitative Biology 2022-11-15 Shitong Luo , Jiaqi Guan , Jianzhu Ma , Jian Peng

Designing protein-binding proteins with high affinity is critical in biomedical research and biotechnology. Despite recent advancements targeting specific proteins, the ability to create high-affinity binders for arbitrary protein targets…

Machine Learning · Computer Science 2025-11-03 Zhenqiao Song , Tiaoxiao Li , Lei Li , Martin Renqiang Min

Proteins populate a manifold in the high-dimensional sequence space whose geometrical structure guides their natural evolution. Leveraging recently-developed structure prediction tools based on transformer models, we first examine the…

Biomolecules · Quantitative Biology 2023-11-13 A. Zambon , R. Zecchina , G. Tiana

Inspired by biology's most sophisticated computer, the brain, neural networks constitute a profound reformulation of computational principles. Remarkably, analogous high-dimensional, highly-interconnected computational architectures also…

Disordered Systems and Neural Networks · Physics 2024-01-23 Constantine Glen Evans , Jackson O'Brien , Erik Winfree , Arvind Murugan

Protein folding cooperativity is defined by the nature of the finite-size thermodynamic transition exhibited upon folding: two-state transitions show a free energy barrier between the folded and unfolded ensembles, while downhill folding is…

Biomolecules · Quantitative Biology 2017-08-23 Tristan Bereau , Michael Bachmann , Markus Deserno

The energy landscapes of proteins have evolved to be different from most random heteropolymers. Many studies have concluded that evolutionary selection for rapid and reliable folding to a given structure that is stable at biological…

Disordered Systems and Neural Networks · Physics 2009-11-10 Steven S. Plotkin , Peter G. Wolynes

A lattice model of the directed self-avoiding walk is used to estimate the possibility on the formation of an infinitely long linear semi-flexible copolymer chain. The copolymer chain is assumed to composed of four different types of the…

Statistical Mechanics · Physics 2021-04-28 Pramod Kumar Mishra

Computational protein design aims at constructing novel or improved functions on the structure of a given protein backbone and has important applications in the pharmaceutical and biotechnical industry. The underlying combinatorial…

Data Structures and Algorithms · Computer Science 2011-03-29 Stefan Canzar , Nora C. Toussaint , Gunnar W. Klau
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