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The folding pathway and rate coefficients of the folding of a knotted protein are calculated for a potential energy function with minimal energetic frustration. A kinetic transition network is constructed using the discrete path sampling…

Biomolecules · Quantitative Biology 2010-07-05 Michael C. Prentiss , David J. Wales , Peter G. Wolynes

Focusing on a small set of proteins that i) fold in a concerted, all-or-none fashion and ii) do not contain knots or slipknots, we show that the Gauss linking integral, the torsion and the number of sequence-distant contacts provide…

Quantitative Methods · Quantitative Biology 2019-10-01 E. Panagiotou , K. W. Plaxco

Natural protein sequences that self-assemble to form globular structures are compact with high packing densities in the folded states. It is known that proteins unfold upon addition of denaturants, adopting random coil structures. The…

Biomolecules · Quantitative Biology 2016-12-02 Himadri S. Samanta , Pavel I. Zhuravlev , Michael Hinczewski , Naoto Hori , Shaon Chakrabarti , D. Thirumalai

Mechanically induced folding of passive cross-linkers is a fundamental biological phenomenon. A typical example is a conformational change in myosin II responsible for the power-stroke in skeletal muscles. In this paper we present an…

Biological Physics · Physics 2017-09-14 Matthieu Caruel , Jean-Marc Allain , Lev Truskinovsky

We discuss the thermodynamic behaviour near the force induced unzipping transition of a double stranded DNA in two different ensembles. The Y-fork is identified as the coexisting phases in the fixed distance ensemble. From finite size…

Soft Condensed Matter · Physics 2007-05-23 Rajeev Kapri , Somendra M. Bhattacharjee

Metadynamics is a powerful computational tool to obtain the free energy landscape of complex systems. The Monte Carlo algorithm has proven useful to calculate thermodynamic quantities associated with simplified models of proteins, and thus…

Statistical Mechanics · Physics 2007-10-04 F. Marini , C. Camilloni , D. Provasi , R. A. Broglia , G. Tiana

Exploring and understanding the protein-folding problem has been a long-standing challenge in molecular biology. Here, using molecular dynamics simulation, we reveal how parallel distributed adjacent planar peptide groups of unfolded…

Biomolecules · Quantitative Biology 2019-01-11 Xiaoliang Ma , Chengyu Hou , Liping Shi , Long Li , Jiacheng Li , Lin Ye , Lin Yang , Xiaodong He

The prediction of the biologically active native conformation of a protein is one of the fundamental challenges of structural biology. This problem remains yet unsolved mainly due to three factors: the partial knowledge of the effective…

Biomolecules · Quantitative Biology 2007-05-23 Jose Luis Alonso , Gregory A. Chass , Imre G. Csizmadia , Pablo Echenique , Alfonso Tarancon

We solve a model that takes into account entropic barriers, frustration, and the organization of a protein-like molecule. For a chain of size $M$, there is an effective folding transition to an ordered structure. Without frustration, this…

Condensed Matter · Physics 2009-10-28 Carlos J. Camacho

Dynamics of protein self-assembly on the inorganic surface and the resultant geometric patterns are visualized using high-speed atomic force microscopy. The time dynamics of the classical macroscopic descriptors such as 2D Fast Fourier…

We suggest a theoretical description of the force-induced translocation dynamics of a polymer chain through a nanopore. Our consideration is based on the tensile (Pincus) blob picture of a pulled chain and the notion of propagating front of…

Soft Condensed Matter · Physics 2012-04-17 J. L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

In order to meet the requirements of practical applications, a model of deforming manifold in the embedded space is proposed. The deforming vector and deforming field are presented to precisely describe the deforming process, which have…

Differential Geometry · Mathematics 2021-10-12 Xiaodong Zhuang , Nikos E. Mastorakis

Heterogeneity in biological molecules, resulting in molecule-to-molecule variations in their dynamics and function, is an emerging theme. To elucidate the consequences of heterogeneous behavior at the single molecule level, we propose an…

Biological Physics · Physics 2017-01-24 Changbong Hyeon , Michael Hinczewski , D. Thirumalai

We have studied the mobility of the folding catalyst, protein disulphide-isomerase (PDI), by molecular dynamics and by a rapid approach based on flexibility. We analysed our simulations using measures of backbone movement, relative…

When described by a low-dimensional reaction coordinate, the rates of protein folding are determined by a subtle interplay between free-energy barriers and friction. While it is commonplace to extract free-energy profiles from molecular…

Soft Condensed Matter · Physics 2022-10-24 Benjamin A. Dalton , Cihan Ayaz , Lucas Tepper , Roland R. Netz

We present results of Monte Carlo computer simulations of a coarse-grained hydrophobic-polar Go-like heteropolymer model and discuss thermodynamic properties and kinetics of an exemplified heteropolymer, exhibiting two-state folding…

Soft Condensed Matter · Physics 2009-11-13 Anna Kallias , Michael Bachmann , Wolfhard Janke

A model system inspired by recent experiments on the dynamics of a folded protein under the influence of a sinusoidal force is investigated and found to replicate many of the response characteristics of such a system. The essence of the…

Soft Condensed Matter · Physics 2015-09-30 Craig Fogle , Joseph Rudnick , David Jasnow

We investigate irreversibility and dissipation in single molecules that cooperatively fold/unfold in a two state manner under the action of mechanical force. We apply path thermodynamics to derive analytical expressions for the average…

Statistical Mechanics · Physics 2009-02-25 Maria Manosas , Alessandro Mossa , Nuria Forns , Josep Maria Huguet , Felix Ritort

We propose a protein model based on a hierarchy of constraints that force the protein to follow certain pathways when changing conformation. The model exhibits a first order phase transition, cooperativity and is exactly solvable. It also…

Condensed Matter · Physics 2015-06-25 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

We study the dynamics of hydration water/protein association in folded proteins, using lysozyme and myoglobin as examples. Extensive molecular dynamics simulations are performed to identify underlying mechanisms of the dynamical transition…

Soft Condensed Matter · Physics 2015-05-13 J. Servantie , C. Atilgan , A. R. Atilgan