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The classical approach to protein folding inspired by statistical mechanics avoids the high dimensional structure of the conformation space by using effective coordinates. Here we introduce a network approach to capture the statistical…

Biomolecules · Quantitative Biology 2007-05-23 Erzsebet Ravasz , S. Gnanakaran , Zoltan Toroczkai

We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a…

Strongly Correlated Electrons · Physics 2025-12-05 Jia-Lin Chen , Zhen Fan , Bo Zhan , Jiahang Hu , Tong Liu , Junyi Ji , Kang Wang , Hai-Jun Liao , Tao Xiang

Integral membrane proteins deform the surrounding bilayer creating long-ranged forces that influence distant proteins. These forces can be attractive or repulsive, depending on the proteins' shape, height, contact angle with the bilayer, as…

Statistical Mechanics · Physics 2007-05-23 Tom Chou , Ken S. Kim , George Oster

We investigate the wetting properties of surfaces patterned with fine elastic hairs, with an emphasis on identifying superhydrophobic states on hydrophilic hairs. We formulate a two dimensional model of a large drop in contact with a row of…

Soft Condensed Matter · Physics 2010-09-28 M. L. Blow , J. M. Yeomans

Equations that govern the temperature-dependence of the rate constants, Gibbs energies,enthalpies, entropies and heat capacities of activation for folding and unfolding of spontaneously-folding fixed two-state systems have been derived…

Soft Condensed Matter · Physics 2016-05-11 Robert S. Sade

We perform molecular dynamics simulations for a simple coarse-grained model of crambin placed inside of a softly repulsive sphere of radius R. The confinement makes folding at the optimal temperature slower and affects the folding…

Biomolecules · Quantitative Biology 2008-12-01 M. Wojciechowski , Marek Cieplak

We introduce and study the behavior of a tethered membrane of non-zero thickness embedded in three dimensions subject to an effective self-attraction induced by hydrophobicity arising from the tendency to minimize the area exposed to a…

Soft Condensed Matter · Physics 2012-06-12 Trinh X. Hoang , Jayanth R. Banavar , Amos Maritan

We consider a model of bilayer lipid membrane with bola-lipids. The bola-lipid is modeled by linking tails of the hydrophobic chains in the opposite monolayers within bilayer as a first approximation. A number of thermodynamical…

Biomolecules · Quantitative Biology 2016-02-26 Sergei I. Mukhin , Boris B. Kheyfets

Proteins are minimally frustrated polymers. However, for realistic protein models non-native interactions must be taken into account. In this paper we analyze the effect of non-native interactions on the folding rate and on the folding free…

Biomolecules · Quantitative Biology 2007-05-23 C. Clementi , S. S. Plotkin

Using Monte Carlo dynamics and the Monte Carlo Histogram Method, the simple three-dimensional 27 monomer lattice copolymer is examined in depth. The thermodynamic properties of various sequences are examined contrasting the behavior of good…

chem-ph · Physics 2009-10-28 Nicholas D. Socci , José Nelson Onuchic

We present the results of a self-consistent, unified molecular dynamics study of simple model heteropolymers in the continuum with emphasis on folding, sequence design and the determination of the interaction parameters of the effective…

Statistical Mechanics · Physics 2009-10-31 Cecilia Clementi , Amos Maritan , Jayanth R. Banavar

We consider six different secondary structures of proteins and construct two types of Go-type off-lattice models: with the steric constraints and without. The basic aminoacid-aminoacid potential is Lennard Jones for the native contacts and…

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

Protein Folding is concerned with the reasons and mechanism behind a protein's tertiary structure. The thermodynamic hypothesis of Anfinsen postulates an universal energy function (UEF) characterizing the tertiary structure, defined…

Computational Engineering, Finance, and Science · Computer Science 2014-04-04 Hammurabi Mendes , Sorin Istrail

We explore the consequences of very high dimensionality in the dynamical landscape of protein folding. Consideration of both typical range of stabilising interactions, and folding rates themselves, leads to a model of the energy…

Biological Physics · Physics 2007-05-23 T. C. B. McLeish

Using a simple three-dimensional lattice copolymer model and Monte Carlo dynamics, we study the collapse and folding of protein-like heteropolymers. The polymers are 27 monomers long and consist of two monomer types. Although these chains…

Condensed Matter · Physics 2009-10-22 Nicholas D. Socci , Jose' Nelson Onuchic

We report a single-copy tempering method for simulating large complex systems. In a generalized ensemble, the method uses runtime estimate of the thermal average energy computed from a novel integral identity to guide a continuous…

Biological Physics · Physics 2015-05-18 Cheng Zhang , Jianpeng Ma

The Go model is extended to the case when the non-native contact energies may be either attractive or repulsive. The folding temperature is found to increase with the energy of non-native contacts. The repulsive non-native contact energies…

Soft Condensed Matter · Physics 2009-10-31 Mai Suan Li , Marek Cieplak

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

These lectures will address two questions. Is there a simple variational principle underlying the existence of secondary motifs in the native state of proteins? Is there a general approach which can qualitatively capture the salient…

Statistical Mechanics · Physics 2007-05-23 Jay Banavar , Amos Maritan , Cristian Micheletti , Flavio Seno

We propose a scenario for the prebiotic co-evolution of RNA and of fast folding proteins with large entropy gaps as observed today. We show from very general principles that the folding and unfolding of the proteins synthesized by RNA can…

Soft Condensed Matter · Physics 2007-05-23 Ayse Erzan , Erkan Tuzel