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MOTIVATION: Proteins fold into complex structures that are crucial for their biological functions. Experimental determination of protein structures is costly and therefore limited to a small fraction of all known proteins. Hence, different…

Biomolecules · Quantitative Biology 2018-04-18 David Menéndez Hurtado , Karolis Uziela , Arne Elofsson

A microcanonical finite-size scaling ansatz is discussed. It exploits the existence of a well-defined transition point for systems of finite size in the microcanonical ensemble. The best data collapse obtained for small systems yields…

Statistical Mechanics · Physics 2009-11-10 Michel Pleimling , Hans Behringer , Alfred Huller

Model off-lattice sequences in two dimensions are constructed so that their native states are close to an on-lattice target. The Hamiltonian involves the Lennard-Jones and harmonic interactions. The native states of these sequences are…

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

We propose a new way of looking at global optimization of off-lattice protein models. We present a dual optimization concept of predicting optimal sequences as well as optimal folds. We validate the utility of the recently introduced…

Computational Physics · Physics 2012-05-22 István Kolossváry , Kevin J. Bowers

A novel combination of discontinuous molecular dynamics and the Langevin equation, together with an intermediate-resolution model, are used to carry out long (several $\mu$s) simulation and study folding transition and transport of proteins…

Soft Condensed Matter · Physics 2011-11-09 Leili Javidpour , Muhammad Sahimi , M. Reza Rahimi Tabar

Proteins fold using a two-state or multi-state kinetic mechanisms, but up to now there isn't a first-principle model to explain this different behaviour. We exploit the network properties of protein structures by introducing novel…

Molecular Networks · Quantitative Biology 2015-12-04 Giulia Menichetti , Piero Fariselli , Daniel Remondini

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

The protein folding is regarded as a quantum transition between torsion states on polypeptide chain. The deduction of the folding rate formula in our previous studies is reviewed. The rate formula is generalized to the case of frequency…

Biomolecules · Quantitative Biology 2010-08-24 Liaofu Luo

We calculate exactly both the microcanonical and canonical thermodynamic functions (TDFs) for a one-dimensional model system with piecewise constant Lennard-Jones type pair interactions. In the case of an isolated $N$-particle system, the…

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

We investigate the folding behavior of protein sequences by numerically studying all sequences with maximally compact lattice model through exhaustive enumeration. We get the prion-like behavior of protein folding. Individual proteins…

Biomolecules · Quantitative Biology 2014-11-18 Yong-Yun Ji , You-Quan Li , Jun-Wen Mao , Xiao-Wei Tang

Protein folding is analyzed using a replica variational formalism to investigate some free energy landscape characteristics relevant for dynamics. A random contact interaction model that satisfies the minimum frustration principle is used…

Disordered Systems and Neural Networks · Physics 2009-10-30 Shoji Takada , Peter G. Wolynes

Through an integrated macroscale/mesoscale computational model, we investigate the developing shape and grain morphology during the melting and solidification of a weld. In addition to macroscale surface tension driven fluid flow and heat…

We present a new technique for a numerical analysis of the phase structure of the 2D Hubbard model as a function of the hole chemical potential. The grand canonical partition function for the model is obtained via Monte Carlo simulations.…

High Energy Physics - Lattice · Physics 2009-10-22 I. M. Barbour , E. G. Klepfish

A general theoretical framework is developed using free energy functional methods to understand the effects of heterogeneity in the folding of a well-designed protein. Native energetic heterogeneity arising from non-uniformity in native…

Disordered Systems and Neural Networks · Physics 2007-05-23 Steven S. Plotkin , Jose N. Onuchic

We propose two efficient algorithms for configurational sampling of systems with rough energy landscape. The first one is a new method for the determination of the multicanonical weight factor. In this method a short replica-exchange…

Statistical Mechanics · Physics 2009-10-31 Yuji Sugita , Yuko Okamoto

We propose a new and effective means for designing stable and fast-folding polypeptide sequences using a cumulant expansion of the molecular partition function. This method is unique in that $T_{Z}$, the ``cumulant design temperature''…

Condensed Matter · Physics 2007-05-23 Michael P. Morrissey , Eugene I. Shakhnovich

While all the information required for the folding of a protein is contained in its amino acid sequence, one has not yet learnt how to extract this information so as to predict the detailed, biological active, three-dimensional structure of…

Condensed Matter · Physics 2007-05-23 R. A. Broglia , G. Tiana

An all-atom model of proteins is used to show that the same sequence of amino acids can have many alternative structures, that are very distant from, and that can be as stable as, the corresponding native structure. Such alternative…

Biological Physics · Physics 2008-02-11 Leonor Cruzeiro

We propose an application of molecular information theory to analyze the folding of single domain proteins. We analyze results from various areas of protein science, such as sequence-based potentials, reduced amino acid alphabets, backbone…

Biomolecules · Quantitative Biology 2022-06-30 Ignacio E. Sánchez , Ezequiel A. Galpern , Martín M. Garibaldi , Diego U. Ferreiro

Systematic microcanonical inflection-point analysis of precise numerical results obtained in extensive generalized-ensemble Monte Carlo simulations reveals a bifurcation of the coil-globule transition line for polymers with a bending…

Soft Condensed Matter · Physics 2023-04-19 Dilimulati Aierken , Michael Bachmann