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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

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 have performed multicanonical computer simulations of a small system of short protein-like heteropolymers and found that their aggregation transition possesses similarities to first-order phase separation processes. Not being a phase…

Soft Condensed Matter · Physics 2024-05-22 Christoph Junghans , Michael Bachmann , Wolfhard Janke

We compare two recently proposed methods for the characterization of phase transitions in small systems. The usefulness of these techniques is evaluated for the case of structural transition in alanine-based peptides.

Statistical Mechanics · Physics 2007-05-23 Nelson A. Alves , U. H. E. Hansmann , Y. Peng

We present a statistical mechanics approach to the protein folding problem. We first review some of the basic properties of proteins, and introduce some physical models to describe their thermodynamics. These models rely on a random…

Disordered Systems and Neural Networks · Physics 2008-02-03 T. Garel , H. Orland , E. Pitard

The microcanonical analysis is shown to be a powerful tool to characterize the protein folding transition and to neatly distinguish between good and bad folders. An off-lattice model with parameter chosen to represent polymers of these two…

Statistical Mechanics · Physics 2009-11-13 J. Hernández-Rojas , J. M. Gomez Llorente

We employ a mesoscopic model for studying aggregation processes of protein-like hydrophobic-polar heteropolymers. By means of multicanonical Monte Carlo computer simulations, we find strong indications that peptide aggregation is a phase…

Soft Condensed Matter · Physics 2009-11-13 Christoph Junghans , Michael Bachmann , Wolfhard Janke

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

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

We perform a generalized-ensemble simulation of a small peptide taking the interactions among all atoms into account. From this simulation we obtain thermodynamic quantities over a wide range of temperatures. In particular, we show that the…

Chemical Physics · Physics 2009-10-31 Ulrich H. E. Hansmann , Masato Masuya , Yuko Okamoto

We study the thermodynamics and kinetics of folding for a small peptide. Our data rely on Monte Carlo simulations where the interactions among all atoms are taken into account. Monte Carlo kinetics is used to study folding of the peptide at…

Condensed Matter · Physics 2009-11-07 Ulrich H. E. Hansmann , Jose N. Onuchic

Protein folding cooperativity is defined by the nature of the finite-size thermodynamic transition exhibited upon folding: two-state transitions show a free energy barrier between the folded and unfolded ensembles, while downhill folding is…

Biomolecules · Quantitative Biology 2017-08-23 Tristan Bereau , Michael Bachmann , Markus Deserno

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

We use a simplified model which is based on the same physics as inherent in most statistical models for nuclear multifragmentation. The simplified model allows exact calculations for thermodynamic properties of systems of large number of…

Nuclear Theory · Physics 2008-11-26 S. Das Gupta , A. Z. Mekjian

We study conformational transitions of simple coarse-grained models for protein-like heteropolymers on the simple cubic lattice and off-lattice, respectively, by means of multicanonical sampling algorithms. The effective hydrophobic/polar…

Soft Condensed Matter · Physics 2015-05-13 Michael Bachmann , Wolfhard Janke

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

Neither of the two prevalent theories, namely thermodynamic stability and kinetic stability, provides a comprehensive understanding of protein folding. The thermodynamic theory is misleading because it assumes that free energy is the…

Biological Physics · Physics 2013-07-22 Ji Xu , Mengzhi Han , Ying Ren , Jinghai Li

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

In the present work, we discuss how the functional form of thermodynamic observables can be deduced from the geometric properties of subsets of phase space. The geometric quantities taken into account are mainly extrinsic curvatures of the…

Statistical Mechanics · Physics 2020-05-01 Ghofrane Bel-Hadj-Aissa , Matteo Gori , Vittorio Penna , Giulio Pettini , Roberto Franzosi

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

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