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Related papers: Modeling two-state cooperativity in protein foldin…

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The dynamics of two 12-monomer heteropolymers on the square lattice is studied exactly within the master equation approach. The time evolution of the occupancy of the native state is determined. At low temperatures, the median folding time…

Statistical Mechanics · Physics 2009-09-25 Marek Cieplak , Malte Henkel , Jayanth R. Banavar

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

The Metropolis Monte Carlo (MC) method is used to extract reaction kinetics from a given equilibrium distribution of states of a complex system. The approach is illustrated by the folding/unfolding reaction for two proteins - a model…

Biological Physics · Physics 2022-03-23 Sergei F. Chekmarev

We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

Background: Many attempts have been made to resolve in time the folding of model proteins in computer simulations. Different computational approaches have emerged. Some of these approaches suffer from the insensitivity to the geometrical…

Statistical Mechanics · Physics 2007-05-23 Nikolay V. Dokholyan , Sergey V. Buldyrev , H. Eugene Stanley , Eugene I. Shakhnovich

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

Protein folding, peptide aggregation and crystallization, as well as adsorption of molecules on soft or solid substrates have an essential feature in common: In all these processes, structure formation is guided by a collective, cooperative…

Statistical Mechanics · Physics 2009-02-12 Michael Bachmann , Wolfhard Janke

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

Monte Carlo simulations of a simple lattice model of protein folding show two distinct regimes depending on the chain length. The first regime well describes the folding of small protein sequences and its kinetic counterpart appears to be…

Soft Condensed Matter · Physics 2007-05-23 P. F. N. Faisca , R. C. Ball

Folding and aggregation of proteins, the interaction between proteins and membranes, as well as the adsorption of organic soft matter to inorganic solid substrates belong to the most interesting challenges in understanding structure and…

Soft Condensed Matter · Physics 2007-12-06 Michael Bachmann , Wolfhard Janke

We present a novel Monte Carlo simulation of protein folding, in which all heavy atoms are represented as interacting hard spheres. This model includes all degrees of freedom relevant to folding - all sidechain and backbone torsions - and…

Soft Condensed Matter · Physics 2007-05-23 J. Shimada , E. L. Kussell , E. I. Shakhnovich

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

We have performed a multicanonical molecular dynamics simulation on a simple model protein.We have studied a model protein composed of charged, hydrophobic, and neutral spherical bead monomers.Since the hydrophobic interaction is considered…

Statistical Mechanics · Physics 2009-11-07 Masaharu Isobe , Hisashi Shimizu , Yasuaki Hiwatari

We provide evidence that the energy landscapes of folded proteins do not shift with temperature, but the onset of functional dynamics is associated with its effective sampling. The motion of the backbone is described by three distinct…

Soft Condensed Matter · Physics 2007-05-23 Canan Baysal , Ali Rana Atilgan

Mechanical unfolding of polyproteins by force spectroscopy provides valuable insight into their free energy landscapes. Most phenomenological models of the unfolding process are two-state and/or one dimensional, with the details of the…

Biological Physics · Physics 2015-06-26 Daniel K. West , Emanuele Paci , Peter D. Olmsted

The monolayer adsorption process of interacting binary mixtures of species $A$ and $B$ on square lattices is studied through grand canonical Monte Carlo simulation in the framework of the lattice-gas model. Four different energies have been…

We define a lattice model for the interaction of a polymer with water. We solve the model in a suitable approximation. In the case of a non-polar homopolymer, for reasonable values of the parameters, the polymer is found in a non-compact…

Statistical Mechanics · Physics 2009-10-31 Pierpaolo Bruscolini , Lapo Casetti

Mechanically induced unfolding of passive crosslinkers is a fundamental biological phenomenon encountered across the scales from individual macro-molecules to cytoskeletal actin networks. In this paper we study a conceptual model of…

Biological Physics · Physics 2015-01-08 M Caruel , J. -M Allain , L Truskinovsky

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

Reaching a ground state of a spin system is analogous to a protein evolving into its native state. We study the ``folding'' times for various random Ising spin systems and determine characteristic temperatures that relate to the…

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