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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

Two-state cooperativity is an important characteristic in protein folding. It is defined by a depletion of states lying energetically between folded and unfolded conformations. While there are different ways to test for two-state…

Biomolecules · Quantitative Biology 2015-05-28 Tristan Bereau , Markus Deserno , Michael Bachmann

We perform extensive Monte Carlo simulations of a lattice model and the Go potential to investigate the existence of folding pathways at the level of contact cluster formation for two native structures with markedly different geometries.…

Biomolecules · Quantitative Biology 2009-11-13 Rui D. M. Travasso , M. M. Telo da Gama , P. F. N. Faisca

A minimal off-lattice model for alpha-helical proteins is presented. It is based on hydrophobicity forces and sequence independent local interactions. The latter are chosen so as to favor the formation of alpha-helical structure. They model…

Statistical Mechanics · Physics 2007-05-23 Frank Potthast

Using Wang-Landau sampling with suitable Monte Carlo trial moves (pull moves and bond-rebridging moves combined) we have determined the density of states and thermodynamic properties for a short sequence of the HP protein model. For free…

Soft Condensed Matter · Physics 2015-03-18 Ying Wai Li , Thomas Wüst , David P. Landau

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

We present a simple model of protein folding dynamics that captures key qualitative elements recently seen in all-atom simulations. The goals of this theory are to serve as a simple formalism for gaining deeper insight into the physical…

Biological Physics · Physics 2015-05-19 Vijay S. Pande

A novel statistical model for the cooperative binding of monomeric ligands to a linear lattice is developed to study the interaction of ionic surfactant molecules with flexible polyion chain in dilute solution. Electrostatic binding of a…

Soft Condensed Matter · Physics 2015-01-13 T. Nishio , T. Shimizu , Sh. Yoshida , A. Minakata

A coarse-grained off-lattice model that is not biased in any way to the native state is proposed to fold proteins. To predict the native structure in a reasonable time, the model has included the essential effects of water in an effective…

Statistical Mechanics · Physics 2009-11-11 Nan-yow Chen , Zheng-Yao Su , Chung-Yu Mou

We use a three dimensional cubic lattice model of proteins to study their properties that determine folding to the native state. The protein chain is modeled as a sequence of $N$ beads. The interactions between beads are taken from a…

Condensed Matter · Physics 2007-05-23 D. K. Klimov , D. Thirumalai

We present a simple, modular graph-based convolutional neural network that takes structural information from protein-ligand complexes as input to generate models for activity and binding mode prediction. Complex structures are generated by…

Biomolecules · Quantitative Biology 2020-02-26 Joseph A. Morrone , Jeffrey K. Weber , Tien Huynh , Heng Luo , Wendy D. Cornell

We present a solvable model that predicts the folding kinetics of two-state proteins from their native structures. The model is based on conditional chain entropies. It assumes that folding processes are dominated by small-loop closure…

Biomolecules · Quantitative Biology 2007-05-23 Thomas R. Weikl , Matteo Palassini , Ken A. Dill

We use a free energy functional theory to elucidate general properties of heterogeneously ordering, fast folding proteins, and we test our conclusions with lattice simulations. We find that both structural and energetic heterogeneity can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Steven S. Plotkin , Jose N. Onuchic

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

In this paper we investigate the role of native geometry on the kinetics of protein folding based on simple lattice models and Monte Carlo simulations. Results obtained within the scope of the Miyazawa-Jernigan indicate the existence of two…

Biomolecules · Quantitative Biology 2007-05-23 P. F. N. Faisca , M. M. Telo da Gama

Knotted proteins embed a physical (i.e., open) knot within their native structures. For decades, significant effort has been devoted to elucidating the functional role of knots in proteins, yet no consensus has been reached. Here, using…

Biomolecules · Quantitative Biology 2026-03-13 João NC Especial , Patrícia FN Faísca

Scaling of folding properties of proteins is studied in a toy system -- the lattice Go model with various two- and three- dimensional geometries of the maximally compact native states. Characteristic folding times grow as power laws with…

Statistical Mechanics · Physics 2009-10-31 Marek Cieplak , Trinh Xuan Hoang , Mai Suan Li

We consider multi-chain protein native structures and propose a criterion that determines whether two chains in the system are entangled or not. The criterion is based on the behavior observed by pulling at both temini of each chain…

Biomolecules · Quantitative Biology 2017-07-19 Yani Zhao , Mateusz Chwastyk , Marek Cieplak

We discuss theoretical models for the cooperative binding dynamics of ligands to substrates, such as dimeric motor proteins to microtubules or more extended macromolecules like tropomyosin to actin filaments. We study the effects of steric…

Soft Condensed Matter · Physics 2007-05-23 Erwin Frey , Andrej Vilfan

Protein structures are a very special class among all possible structures. It was suggested that a ``designability principle'' plays a crucial role in nature's selection of protein sequences and structures. Here we provide a theoretical…

Statistical Mechanics · Physics 2009-10-30 Hao Li , Chao Tang , Ned S. Wingreen