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A central goal of protein-folding theory is to predict the stochastic dynamics of transition paths --- the rare trajectories that transit between the folded and unfolded ensembles --- using only thermodynamic information, such as a…

生物大分子 · 定量生物学 2018-08-09 William M. Jacobs , Eugene I. Shakhnovich

The understanding, and even the description of protein folding is impeded by the complexity of the process. Much of this complexity can be described and understood by taking a statistical approach to the energetics of protein conformation,…

chem-ph · 物理学 2008-02-03 J. D. Bryngelson , J. N. Onuchic , N. D. Socci , P. G. Wolynes

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

软凝聚态物质 · 物理学 2022-09-26 Margarita Colberg , Jeremy Schofield

We employ simulations of model proteins to study folding on rugged energy landscapes. We construct ``first-passage'' networks as the system transitions from unfolded to native states. The nodes and bonds in these networks correspond to…

软凝聚态物质 · 物理学 2015-05-13 Gregg Lois , J. Blawzdziewicz , Corey S. O'Hern

We study the dynamics of protein folding via statistical energy-landscape theory. In particular, we concentrate on the local-connectivity case with the folding progress described by the fraction of native conformations. We obtain…

软凝聚态物质 · 物理学 2007-05-23 Chi-Lun Lee , Chien-Ting Lin , George Stell , Jin Wang

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…

生物大分子 · 定量生物学 2010-07-05 Michael C. Prentiss , David J. Wales , Peter G. Wolynes

We propose a general theory to describe the distribution of protein-folding transition paths. We show that transition paths follow a predictable sequence of high-free-energy transient states that are separated by free-energy barriers. Each…

生物大分子 · 定量生物学 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich

Biomolecular folding, at least in simple systems, can be described as a two state transition in a free energy landscape with two deep wells separated by a high barrier. Transition paths are the short part of the trajectories that cross the…

统计力学 · 物理学 2018-12-10 M. Laleman , E. Carlon , H. Orland

We study the kinetics of protein folding via statistical energy landscape theory. We concentrate on the local-connectivity case, where the configurational changes can only occur among neighboring states, with the folding progress described…

软凝聚态物质 · 物理学 2009-11-07 Chi-Lun Lee , George Stell , Jin Wang

We consider the problem of bounding mean first passage times for a class of continuous-time Markov chains that captures stochastic interactions between groups of identical agents. The quantitative analysis of such probabilistic population…

系统与控制 · 电气工程与系统科学 2020-04-07 Michael Backenköhler , Luca Bortolussi , Verena Wolf

Protein folding is the intricate process by which a linear sequence of amino acids self-assembles into a unique three-dimensional structure. Protein folding kinetics is the study of pathways and time-dependent mechanisms a protein undergoes…

机器学习 · 计算机科学 2023-09-19 Vijay Arvind. R , Haribharathi Sivakumar , Brindha. R

A microscopic theory of the free energy barriers and folding routes for minimally frustrated proteins is presented, greatly expanding on the presentation of the variational approach outlined previously [J. J. Portman, S. Takada, P. G.…

软凝聚态物质 · 物理学 2009-10-31 John J. Portman , Shoji Takada , Peter G. Wolynes

In spite of decades of research, much remains to be discovered about folding: the detailed structure of the initial (unfolded) state, vestigial folding instructions remaining only in the unfolded state, the interaction of the molecule with…

生物物理 · 物理学 2018-11-26 Walter A. Simmons

Protein folding processes are generally described statistically with the help of multidimensional free energy landscape, typically reduced to a 1-D free energy profile along good reaction co-ordinate. There are many physical parameters…

生物物理 · 物理学 2017-05-04 Debajyoti De , Anurag Singh , Amar Nath Gupta

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…

生物物理 · 物理学 2008-02-11 Leonor Cruzeiro

Many transport processes in ecology, physics and biochemistry can be described by the average time to first find a site or exit a region, starting from an initial position. Typical mathematical treatments are based on formulations that…

偏微分方程分析 · 数学 2025-01-16 Thomas Hillen , Maria R. D'Orsogna , Jacob C. Mantooth , Alan E. Lindsay

Using a beta-hairpin protein as a representative example of two-state folders, we studied how the exploration of native-like states affects the folding kinetics. It has been found that the first-passage time (FPT) distributions are…

生物大分子 · 定量生物学 2021-11-16 Sergei F. Chekmarev

The dynamics of folding of proteins is studied by means of a phenomenological master equation. The energy distribution is taken as a truncated exponential for the misfolded states plus a native state sitting below the continuum. The…

软凝聚态物质 · 物理学 2007-05-23 Estelle Pitard , Henri Orland

We study folding dynamics of protein-like sequences on square lattice using physical move set that exhausts all possible conformational changes. By analytically solving the master equation, we follow the time-dependent probabilities of…

生物大分子 · 定量生物学 2016-08-16 Sëma Kachalo , Hsiao-Mei Lu , Jie Liang

The escape process from the native valley for proteins subjected to a constant stretching force is examined using a model for a Beta-barrel. For a wide range of forces, the unfolding dynamics can be treated as one-dimensional diffusion,…

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