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In this paper we show that a dynamical description of the protein folding process provides an effective representation of equilibrium properties and it allows for a direct investigation of the mechanisms ruling the approach towards the…

Statistical Mechanics · Physics 2007-05-23 Alessandro Torcini , Roberto Livi , Antonio Politi

We present a microscopic variational theory for the free energy surface of a fast folding protein that allows folding kinetics to be resolved to the residue level using Debye-Waller factors as local order parameters. We apply the method to…

Soft Condensed Matter · Physics 2016-08-31 John J. Portman , Shoji Takada , Peter G. Wolynes

Atomically detailed simulations of RNA folding have proven very challenging in view of the difficulties of developing realistic force fields and the intrinsic computational complexity of sampling rare conformational transitions. To tackle…

Soft Condensed Matter · Physics 2022-05-26 Gianmarco Lazzeri , Cristian Micheletti , Samuela Pasquali , Pietro Faccioli

High-dimensional networks producing oscillatory dynamics are ubiquitous in biological systems. Unravelling the mechanism of oscillatory dynamics in biological networks with stochastic perturbations becomes paramountly significant. Although…

Quantitative Methods · Quantitative Biology 2025-02-03 Shirui Bian , Ruisong Zhou , Wei Lin , Chunhe Li

Based on the concept of a nonequilibrium steady state, we present a novel method to experimentally determine energy landscapes acting on colloidal systems. By measuring the stationary probability distribution and the current in the system,…

Soft Condensed Matter · Physics 2007-06-20 V. Blickle , T. Speck , U. Seifert , C. Bechinger

Proper folding of deeply knotted proteins has a very low success rate even in structure-based models which favor formation of the native contacts but have no topological bias. By employing a structure-based model, we demonstrate that…

Biological Physics · Physics 2015-09-04 Mateusz Chwastyk , Marek Cieplak

The complexity and unpredictability of postbuckling responses in even simple thin shells have raised great challenges to emerging technologies exploiting buckling transitions. Here we comprehensively survey the buckling landscapes to show…

Materials Science · Physics 2019-10-22 Jack Panter , Junbo Chen , Teng Zhang , Halim Kusumaatmaja

The folding dynamics of small single-domain proteins is a current focus of simulations and experiments. Many of these proteins are 'two-state folders', i.e. proteins that fold rather directly from the denatured state to the native state,…

Biomolecules · Quantitative Biology 2020-01-08 Thomas R. Weikl

In order to better understand the occurrence of phase transitions, we adopt an approach based on the study of energy landscapes: The relation between stationary points of the potential energy landscape of a classical many-particle system…

Statistical Mechanics · Physics 2009-03-24 Michael Kastner

The dynamics of folding of proteins is studied by means of a phenomenological master equation. The energy distribution is taken as a truncated exponential for the misfolded states plus a native state sitting below the continuum. The…

Soft Condensed Matter · Physics 2007-05-23 Estelle Pitard , Henri Orland

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

Proteins must fold quickly to acquire their biologically functional three-dimensional native structures. Hence, these are mainly stabilized by local contacts, while intricate topologies such as knots are rare. Here, we reveal the existence…

Biomolecules · Quantitative Biology 2019-06-20 Marco Baiesi , Enzo Orlandini , Flavio Seno , Antonio Trovato

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

The knowledge of the Free Energy Landscape topology is the essential key to understand many biochemical processes. The determination of the conformers of a protein and their basins of attraction takes a central role for studying molecular…

Biomolecules · Quantitative Biology 2009-06-26 Diego Prada-Gracia , Jesus Gomez-Gardenes , Pablo Echenique , Fernando Falo

The equilibrium free energy landscape of an off-lattice model protein as a function of an internal (reaction) coordinate is reconstructed from out-of-equilibrium mechanical unfolding manipulations. This task is accomplished via two…

Statistical Mechanics · Physics 2007-10-17 Alberto Imparato , Stefano Luccioli , Alessandro Torcini

Despite the significant recent progress in deep generative models, the underlying structure of their latent spaces is still poorly understood, thereby making the task of performing semantically meaningful latent traversals an open research…

Machine Learning · Computer Science 2023-07-04 Yue Song , T. Anderson Keller , Nicu Sebe , Max Welling

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 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

Models of protein energetics which neglect interactions between amino acids that are not adjacent in the native state, such as the Go model, encode or underlie many influential ideas on protein folding. Implicit in this simplification is a…

Biomolecules · Quantitative Biology 2009-10-08 Brian C. Gin , Juan P. Garrahan , Phillip L. Geissler

A common metaphor for describing development is a rugged "epigenetic landscape" where cell fates are represented as attracting valleys resulting from a complex regulatory network. Here, we introduce a framework for explicitly constructing…

Molecular Networks · Quantitative Biology 2014-09-11 Alex H. Lang , Hu Li , James J. Collins , Pankaj Mehta