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We develop a multi-scale approach to simulate hydrated nanobio systems under realistic condi- tions (e.g., nanoparticles and protein solutions at physiological conditions over time-scales up to hours). We combine atomistic simulations of…

Soft Condensed Matter · Physics 2017-07-05 Oriol Vilanova , Valentino Bianco , Giancarlo Franzese

We propose a general theory to describe the distribution of protein-folding transition paths. We show that transition paths follow a predictable sequence of high-free-energy transient states that are separated by free-energy barriers. Each…

Biomolecules · Quantitative Biology 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich

Protein structure prediction and folding are fundamental to understanding biology, with recent deep learning advances reshaping the field. Diffusion-based generative models have revolutionized protein design, enabling the creation of novel…

Machine Learning · Computer Science 2025-10-01 Yogesh Verma , Markus Heinonen , Vikas Garg

Protein folding models have achieved groundbreaking results typically via a combination of integrating domain knowledge into the architectural blocks and training pipelines. Nonetheless, given the success of generative models across…

Machine Learning · Computer Science 2025-12-11 Yuyang Wang , Jiarui Lu , Navdeep Jaitly , Josh Susskind , Miguel Angel Bautista

We present a novel statistical mechanics formalism for the theoretical description of the process of protein folding$\leftrightarrow$unfolding transition in water environment. The formalism is based on the construction of the partition…

Biological Physics · Physics 2010-05-20 A. V. Yakubovich , A. V. Solov'yov , W. Greiner

We propose that protein loops can be interpreted as topological domain-wall solitons. They interpolate between ground states that are the secondary structures like alpha-helices and beta-strands. Entire proteins can then be folded simply by…

Biological Physics · Physics 2014-11-20 M. N. Chernodub , Shuangwei Hu , Antti J. Niemi

Proteins are linear chain molecules that play a central role in life and health. Protein native state folds are modular assemblies of space-filling building blocks of {\alpha}-helices, \{beta}-sheets and tight turns. Here we deduce the…

Biological Physics · Physics 2025-10-09 Jayanth R. Banavar , Achille Giacometti , Trinh X. Hoang , Amos Maritan , Tatjana Škrbić

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learned how to extract this information to predict the three--dimensional, biologically active, native conformation of…

Biomolecules · Quantitative Biology 2009-11-10 R. A. Broglia , G. Tiana

Applying multicanonical simulations we investigated folding properties of off-lattice heteropolymers employing a mesoscopic hydrophobic-polar model. We study for various sequences folding channels in the free-energy landscape by comparing…

Soft Condensed Matter · Physics 2009-02-17 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

Protein dynamics play a crucial role in many biological processes and drug interactions. However, measuring, and simulating protein dynamics is challenging and time-consuming. While machine learning holds promise in deciphering the…

Machine Learning · Computer Science 2024-08-23 Sina Sarparast , Aldo Zaimi , Maximilian Ebert , Michael-Rock Goldsmith

Protein inverse folding aims to identify viable amino acid sequences that can fold into given protein structures, enabling the design of novel proteins with desired functions for applications in drug discovery, enzyme engineering, and…

Quantitative Methods · Quantitative Biology 2024-11-05 Taoyu Wu , Yu Guang Wang , Yiqing Shen

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

De novo protein structure prediction from amino acid sequence is one of the most challenging problems in computational biology. As one of the extensively explored mathematical models for protein folding, Hydrophobic-Polar (HP) model enables…

Machine Learning · Computer Science 2018-12-06 Yanjun Li , Hengtong Kang , Ketian Ye , Shuyu Yin , Xiaolin Li

Theoretical studies of protein folding on lattice models relie on the assumption that water close to amino-acids is always in thermal equilibrium all along the folding pathway. Within this framework, it has always been considered that…

Biological Physics · Physics 2012-02-08 Olivier Collet

The protein folding is regarded as a quantum transition between torsion states on polypeptide chain. The deduction of the folding rate formula in our previous studies is reviewed. The rate formula is generalized to the case of frequency…

Biomolecules · Quantitative Biology 2010-08-24 Liaofu Luo

Within the frame of an effective, coarse-grained hydrophobic-polar protein model, we employ multicanonical Monte Carlo simulations to investigate free-energy landscapes and folding channels of exemplified heteropolymer sequences, which are…

Soft Condensed Matter · Physics 2009-11-13 Stefan Schnabel , Michael Bachmann , Wolfhard Janke

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive…

Biomolecules · Quantitative Biology 2026-01-13 Jorge Vila

Ribonucleic Acid (RNA) can fold into shapes that perform functions in the cell. These foldings are governed by Watson-Crick base pairing, namely Adenine to Uracil and Cytosine to Guanine (A-U and G-C). The properties of the H-P…

Combinatorics · Mathematics 2018-12-18 Ben Y. Maron

We study the thermodynamical properties of a topology-based model proposed by Galzitskaya and Finkelstein for the description of protein folding. We devise and test three different mean-field approaches for the model, that simplify the…

Soft Condensed Matter · Physics 2009-11-10 Pierpaolo Bruscolini , Fabio Cecconi

We present and discuss a novel approach to the direct and inverse protein folding problem. The proposed strategy is based on a variational approach that allows the simultaneous extraction of amino acid interactions and the low-temperature…

Statistical Mechanics · Physics 2009-10-31 Flavio Seno , Cristian Micheletti , Amos Maritan , Jayanth R. Banavar