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Growing experimental evidence shows that proteins follow one or a few distinct paths when folding. We propose in this paper a procedure to parametrize these observed pathways, and from this parametrization construct effective Hamiltonians…

Condensed Matter · Physics 2007-05-23 Paul G. Dommersnes , Alex Hansen , Mogens H. Jensen , Kim Sneppen

A phenomenological model hamiltonian to describe the folding of a protein with any given sequence is proposed. The protein is thought of as a collection of pieces of helices; as a consequence its configuration space increases with the…

Soft Condensed Matter · Physics 2009-10-30 Pierpaolo Bruscolini

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

A geometric analysis of protein folding, which complements many of the models in the literature, is presented. We examine the process from unfolded strand to the point where the strand becomes self-interacting. A central question is how it…

Mathematical Physics · Physics 2008-09-13 Walter A. Simmons , Joel L. Weiner

This paper builds upon the fundamental work of Niwa et al. [34], which provides the unique possibility to analyze the relative aggregation/folding propensity of the elements of the entire Escherichia coli (E. coli) proteome in a cell-free…

Computational Engineering, Finance, and Science · Computer Science 2015-07-22 Lorenzo Livi , Alessandro Giuliani , Antonello Rizzi

We describe the results obtained from an improved model for protein folding. We find that a good agreement with the native structure of a 46 residue long, five-letter protein segment is obtained by carefully tuning the parameters of the…

Biomolecules · Quantitative Biology 2009-11-11 Andrea Nobile , Federico Rapuano

The motion involved in barrier crossing for protein folding are investigated in terms of the chain dynamics of the polymer backbone, completing the microscopic description of protein folding presented in the previous paper. Local reaction…

Soft Condensed Matter · Physics 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

The protein folding problem is stated and a list of properties that do not depend upon specific molecules is compiled and analyzed. The relationship of this analysis to future simulations is emphasized. The choice of power and time as…

Biological Physics · Physics 2017-09-26 Walter A. Simmons

Here we first develop the thermodynamics of microcanonical phase transitions of first and second order in systems which are thermodynamically stable in the sense of van Hove. We show how both kinds of phase transitions can unambiguously be…

Condensed Matter · Physics 2019-08-17 D. H. E. Gross , M. E. Madjet , O. Schapiro

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 energy for protein folding arises from multiple sources and is not large in total. In spite of the many specific successes of energy landscape and other approaches, there still seems to be some missing guiding factor that explains how…

Mathematical Physics · Physics 2011-08-22 Walter Simmons , Joel L. Weiner

A phase diagram is a graph in parameter space showing the phase boundaries of a many-particle system. Commonly, the control parameters are chosen to be those of the (generalized) canonical ensemble, such as temperature and magnetic field.…

Statistical Mechanics · Physics 2009-06-22 Michael Kastner , Michel Pleimling

A microcanonical first order transition, connecting a clustered to a homogeneous phase, is studied from both the thermodynamic and dynamical point of view for a N-body Hamiltonian system with infinite-range couplings. In the microcanonical…

Statistical Mechanics · Physics 2007-05-23 Mickael Antoni , Stefano Ruffo , Alessandro Torcini

We have performed multicanonical simulations of hydrophobic-hydrophilic heteropolymers with a simple effective, coarse-grained off-lattice model to study the structure and the topology of the energy surface. The multicanonical method…

Soft Condensed Matter · Physics 2009-11-13 E. Akturk , H. Arkin Olgar , T. Celik

We study the thermodynamic and kinetic consequences of the competition between single-protein folding and protein-protein aggregation using a phenomenological model, in which the proteins can be in the unfolded (U), misfolded (M) or folded…

Soft Condensed Matter · Physics 2009-10-29 Moumita Maiti , Madan Rao , Srikanth Sastry

With the help of lattice Monte Carlo modelling of heteropolymers, we show that the necessary condition for a protein to fold on short call is to proceed through partially folded intermediates. These elementary structures are formed at an…

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

Aggregation transitions in disordered mesoscopic systems play an important role in several areas of knowledge, from materials science to biology. The lack of a thermodynamic limit in systems that are intrinsically finite makes the…

Statistical Mechanics · Physics 2022-02-25 L. F. Trugilho , L. G. Rizzi

The thermodynamic properties for three different types of off-lattice four-strand beta-sheet protein models interacting via a hybrid Go-type potential have been investigated. Discontinuous molecular dynamic simulations have been performed…

Biological Physics · Physics 2009-11-07 Hyunbum Jang , Carol K. Hall , Yaoqi Zhou

We propose a model for motor proteins based on a hierarchical Hamiltonian that we have previously introduced to describe protein folding. The proposed motor model has high efficiency and is consistent with a linear load-velocity response.…

Condensed Matter · Physics 2009-10-31 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

The thermodynamics of proteins indicate that folding/unfolding takes place either through stable intermediates or through a two-state process without intermediates. The rather short folding times of the two-state process indicate that…

Condensed Matter · Physics 2016-08-31 Audun Bakk , Johan S. Hoye , Alex Hansen , Kim Sneppen , Mogens Hogh Jensen