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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

Compact polymers are self-avoiding random walks which visit every site on a lattice. This polymer model is used widely for studying statistical problems inspired by protein folding. One difficulty with using compact polymers to perform…

Soft Condensed Matter · Physics 2009-11-11 Richard Oberdorf , Allison Ferguson , Jesper L. Jacobsen , Jane' Kondev

We present results for a lattice model of bio-polymers where the type of $\beta$-sheet formation can be controlled by different types of hydrogen bonds depending on the relative orientation of close segments of the polymer. Tuning these…

Soft Condensed Matter · Physics 2007-06-13 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

The effects of cooperativity are studied within Go-Lennard-Jones models of proteins by making the contact interactions dependent on the proximity to the native conformation. The kinetic universality classes are found to remain the same as…

Biomolecules · Quantitative Biology 2009-11-10 Marek Cieplak

There have been separate studies of the polymer collapse transition, where the collapse was induced by two different types of attraction. In each case, the configurations of the polymer were given by the same subset of random walks being…

Statistical Mechanics · Physics 2015-06-17 Andrea Bedini , Aleksander L Owczarek , Thomas Prellberg

We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

Statistical Mechanics · Physics 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

The phase structure of self-avoiding polymerized membranes is studied by extensive Hybrid Monte Carlo simulations. Several folding transitions from the flat to a collapsed state are found. Using a suitable order parameter and finite size…

Condensed Matter · Physics 2009-10-28 Christian Münkel , Dieter W. Heermann

The kinetic behavior of a three-dimensional off-lattice heteropolymer model is studied in terms of the time dependence of the average mean-square displacement between configurations. It is found that at short time-scales similar behavior is…

Soft Condensed Matter · Physics 2008-02-03 O. Sommelius

A recently introduced model describing the folding of the triangular lattice is generalized allowing for defects in the lattice and written as an Ising model with nearest-neighbor and plaquette interactions on the honeycomb lattice. Its…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Giuseppe Gonnella , Alessandro Pelizzola

We address the folding induced by differential growth in soft layered solids via an elementary model that consists of a soft growing neo-Hookean elastic layer adhered to a deep elastic substrate. As the layer/substrate modulus ratio is…

Soft Condensed Matter · Physics 2015-09-30 Tuomas Tallinen , John S. Biggins

We present a simple model of protein folding dynamics that captures key qualitative elements recently seen in all-atom simulations. The goals of this theory are to serve as a simple formalism for gaining deeper insight into the physical…

Biological Physics · Physics 2015-05-19 Vijay S. Pande

We investigate the sequence-dependent properties of proteins that determine the dual requirements of stability of the native state and its kinetic accessibility using simple cubic lattice models. Three interaction schemes are used to…

Soft Condensed Matter · Physics 2009-10-31 D. K. Klimov , D. Thirumalai

The triangular lattice model with nearest-neighbor attraction and third-neighbor repulsion, introduced in [J. Pekalski, A. Ciach and N. G. Almarza, arXiv:1401.0801 [cond-mat.soft]] is studied by Monte Carlo simulation. Introduction of…

Soft Condensed Matter · Physics 2015-06-18 N. G. Almarza , J. Pekalski , A. Ciach

Molecular dynamics studies of Go models of proteins with the 10-12 contact potential and the bond and dihedral angle terms indicate statistical similarities to other Go models, e.g. with the Lennard-Jones contact potentials. The folding…

Statistical Mechanics · Physics 2015-06-24 Marek Cieplak , Trinh Xuan Hoang

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

The results of extensive Monte Carlo simulations of classical spins on the two-dimensional kagome lattice with only dipolar interactions are presented. In addition to revealing the six-fold degenerate ground state, the nature of the…

Materials Science · Physics 2015-05-01 M. S. Holden , M. L. Plumer , I. Saika-Voivod , B. W. Southern

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

Monte Carlo simulations of coarse-grained polymers provide a useful tool to deepen the understanding of conformational and statistical properties of polymers both in physical as well as in biological systems. In this study we sample compact…

Soft Condensed Matter · Physics 2009-05-07 Manfred Bohn , Dieter W. Heermann

The classical Hertzian contact model establishes a monotonic correlation between contact force and area. Here, we showed that the interplay between local friction and structural instability can deliberately lead to unconventional contact…

Computational Engineering, Finance, and Science · Computer Science 2024-01-29 Riad Sahli , Jeppe Mikkelsen , Mathias Satherstrom Boye , Marcelo A. Dias , Ramin Aghababaei

Within the frame of an effective, coarse-grained hydrophobic-polar protein model, we employ multicanonical Monte Carlo simulations to investigate free-energy landscapes and folding channels of exemplified heteropolymer sequences, which are…

Soft Condensed Matter · Physics 2009-11-13 Stefan Schnabel , Michael Bachmann , Wolfhard Janke