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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

Extensive Monte Carlo folding simulations for four proteins of various structural classes are carried out, using a single atomistic potential. In all cases, collapse occurs at a very early stage, and proteins fold into their native-like…

Statistical Mechanics · Physics 2009-11-10 Seung-Yeon Kim , Julian Lee , Jooyoung Lee

We consider two- and three-dimensional lattice models of proteins which were characterized previously. We coarse grain their folding dynamics by reducing it to transitions between effective states. We consider two methods of selection of…

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

Microcanonical thermodynamics (MT) is analysed for phase transitions of first and second order in finite systems. The transiton temperature, the latent heat and the surface tension of first order transitions can easily be determined by MT…

Nuclear Theory · Physics 2007-05-23 D. H. E. Gross

We study the thermodynamic behavior of a simple off-lattice model for protein folding. The model is two-dimensional and has two different ``amino acids''. Using numerical simulations of all chains containing eight or ten monomers, we…

chem-ph · Physics 2009-10-28 Anders Irbäck , Frank Potthast

A comparative classification scheme provides a good basis for several approaches to understand proteins, including prediction of relations between their structure and biological function. But it remains a challenge to combine a…

Biomolecules · Quantitative Biology 2015-05-20 Shuangwei Hu , Andrei Krokhotin , Antti J. Niemi , Xubiao Peng

In this micro-canonical simulation the temperature and also the specific heat are determined as averages of expressions easy to implement. The XY-chain is studied for a test. The second order transition on a cubic lattice and the first…

Statistical Mechanics · Physics 2009-11-07 Wira B. Nurdin , Klaus-Dieter Schotte

Different aspects of protein folding are illustrated by simplified polymer models. Stressing the diversity of side chains (residues) leads one to view folding as the freezing transition of an heteropolymer. Technically, the most common…

Soft Condensed Matter · Physics 2007-05-23 T. Garel

We discuss recent theoretical developments in the study of simple lattice models of proteins. Such models are designed to understand general features of protein structures and mechanism of folding. Among the topics covered are (i) the use…

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

The formation of fibrillar aggregates seems to be a common characteristic of polypeptide chains, although the observation of these aggregates may depend on appropriate experimental conditions. Partially folded intermediates seem to have an…

Biological Physics · Physics 2013-01-16 Rafael B. Frigori , Leandro G. Rizzi , Nelson A. Alves

In detailed microcanonical analyses of densities of states obtained by extensive multicanonical Monte Carlo computer simulations, we investigate the caloric properties of conformational transitions adsorbing polymers experience near…

Statistical Mechanics · Physics 2019-03-27 Monika Möddel , Wolfhard Janke , Michael Bachmann

Using Monte Carlo histogram methods, the microcanonical caloric curve is computed for the Ising model in two and three dimensions with fixed magnetization. Whereas the signatures of a first order phase transition are clearly visible for…

Condensed Matter · Physics 2015-06-24 Michel Pleimling , Alfred Hueller

Folding kinetics of a lattice model of protein is studied. It uses the Random Energy Model for the intrachain couplings and a temperature dependent free energy of solvation derived from a realistic hydration model of apolar solutes. The…

Statistical Mechanics · Physics 2008-11-06 Olivier Collet

The microcanonical ensemble is in important physical situations different from the canonical one even in the thermodynamic limit. In contrast to the canonical ensemble it does not suppress spatially inhomogeneous configurations like phase…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross , M. E. Madjet

Protein folding is the intricate process by which a linear sequence of amino acids self-assembles into a unique three-dimensional structure. Protein folding kinetics is the study of pathways and time-dependent mechanisms a protein undergoes…

Machine Learning · Computer Science 2023-09-19 Vijay Arvind. R , Haribharathi Sivakumar , Brindha. R

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 have performed multicanonical simulations of hydrophobic-hydrophilic heteropolymers with two simple effective, coarse-grained off-lattice models to study the influence of specific interactions in the models on conformational transitions…

Statistical Mechanics · Physics 2009-11-11 Michael Bachmann , Handan Arkın , Wolfhard Janke

We compare phase transition(-like) phenomena in small model systems for both microcanonical and canonical ensembles. The model systems correspond to a few classical (non-quantum) point particles confined in a one-dimensional box and…

Statistical Mechanics · Physics 2007-05-23 Jörn Dunkel , Stefan Hilbert

The folding ability of a heteropolymer model for proteins subject to Monte Carlo dynamics on a simple cubic lattice is shown to be strongly correlated with the energy gap between the native state and the structurally dissimilar part of the…

Condensed Matter · Physics 2007-05-23 Aaron R. Dinner , Victor Abkevich , Eugene Shakhnovich , Martin Karplus

Theory of multi-dimensional representation of free energy surface of protein folding is developed by adopting structural order parameters of multiple regions in protein as multiple coordinates. Various scenarios of folding are classified in…

Biomolecules · Quantitative Biology 2009-11-13 Kazuhito Itoh , Masaki Sasai