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The generalized Langevin mode analysis (GLMA) is applied to chemical reactions in biomolecules in solution. The theory sees a chemical reaction in solution as a barrier crossing process, similar to the Marcus theory. The barrier is defined…

Chemical Physics · Physics 2023-04-26 Fumio Hirata

The Structural theory of chemistry introduces chemical/molecular structure as a combination of relative arrangement and bonding patterns of atoms in molecule. Nowadays, the structure of atoms in molecules is derived from the topological…

Chemical Physics · Physics 2014-12-22 Mohammad Goli , Shant Shahbazian

A general theory of nucleation for colloids and macromolecules in solution is formulated within the context of fluctuating hydrodynamics. A formalism for the determination of nucleation pathways is developed and stochastic differential…

Soft Condensed Matter · Physics 2012-01-23 James F. Lutsko

A new statistical mechanics formulation of characterizing the structural fluctuation of protein correlated with that of water is presented based on the generalized Langevin equation and the 3D-RISM/RISM theory of molecular liquids. The…

Statistical Mechanics · Physics 2015-06-11 Bongsoo Kim , Fumio Hirata

The conformational change of biological macromolecule is investigated from the point of quantum transition. A quantum theory on protein folding is proposed. Compared with other dynamical variables such as mobile electrons, chemical bonds…

Biomolecules · Quantitative Biology 2013-08-06 LiaoFu Luo

A sharp change in apparent mobility at a characteristic temperature that depends on the observation time has been reported in experiments and simulations of hydrated proteins. Such behavior is often discussed in the context of the protein…

Statistical Mechanics · Physics 2026-05-01 Masahiro Shirataki , Takuma Akimoto

The dynamical characterization of proteins is crucial to understand protein function. From a microscopic point of view, protein dynamics is governed by the local atomic interactions that, in turn, trigger the functional conformational…

Biomolecules · Quantitative Biology 2010-01-21 Francesco Rao

The lifetime of protein domains and ligand-receptor complexes under force is crucial for mechanosensitive functions, while many aspects of how force affects the lifetime still remain poorly understood. Here, we report a new analytical…

Biological Physics · Physics 2018-02-15 Shiwen Guo , Qingnan Tang , Mingxi Yao , Shimin Le , Hu Chen , Jie Yan

Theoretical approaches are formulated to investigate the molecular mobility under various cooling rates of amorphous drugs. We describe the structural relaxation of a tagged molecule as a coupled process of cage-scale dynamics and…

Soft Condensed Matter · Physics 2019-12-10 Anh D. Phan , Katsunori Wakabayashi , Marian Paluch , Vu D. Lam

The topic of this letter is structure formation with topological defects. We first present a partially new, fully local and gauge invariant system of perturbation equations to treat microwave background and dark matter fluctuations induced…

Astrophysics · Physics 2010-11-01 Ruth Durrer , Zhi-hong Zhou

We demonstrate that a Langevin equation that describes the motion of a Brownian particle under non-equilibrium conditions can be exactly transformed to a special equation that explicitly exhibits the response of the velocity to a time…

Statistical Mechanics · Physics 2009-11-11 Takahiro Harada , Kumiko Hayashi , Shin-ichi Sasa

We introduce a computational framework for generating realistic transition paths between distinct conformations of large bio-molecular systems. The method is built on a stochastic integro-differential formulation derived from the Langevin…

Biomolecules · Quantitative Biology 2025-12-02 Patrice Koehl , Marc Delarue , Henri Orland

This study investigates the potential impact of intramolecular excitations on the active regions of biomolecular chains, which may play a role in physiological processes within living cells. We assumed that an excitation localized in a…

Other Condensed Matter · Physics 2025-10-29 Dalibor Chevizovich , Slobodanka Galovic , Vasilije Matic , Zoran Ivic , Zeljko Przulj

On the basis of perturbed Kolmogorov backward equations and path integral representation, we unify the derivations of the linear response theory and transient fluctuation theorems for continuous diffusion processes from a backward point of…

Statistical Mechanics · Physics 2015-05-14 Fei Liu , Zhong-can Ou-Yang

A new theoretical method, referred to as Generalized Langevin Mode Analysis (GLMA), is proposed to analyze the mode of structural fluctuations of a biomolecule in solution. The method combines the two theories in the statistical mechanics,…

Statistical Mechanics · Physics 2022-05-20 Masatake Sugita , Fumio Hirata

A simple phenomenological model for describing the conformational dynamics of biological macromolecules via the nonlinearity-induced instabilities is proposed. It is shown that the interaction between charges and bending degrees of freedom…

Soft Condensed Matter · Physics 2009-11-11 Yu. B. Gaididei , P. L. Christiansen , W. J. Zakrzewski

Novel physical mechanism is proposed for explanation of temperature-independent transition reactions in molecular systems. The mechanism becomes effective in the case of conformation transitions between quasi-isoenergetic molecular states.…

Statistical Mechanics · Physics 2012-11-01 V. I. Teslenko , E. G. Petrov , A. Verkhratsky , O. A. Krishtal

The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

The biological function of proteins is encoded in their structure and expressed through the mediation of their dynamics. Local fluctuations are known to initiate biologically relevant pathways as they cooperatively enhance the dynamics in…

Biological Physics · Physics 2016-04-20 J. Copperman , M. G. Guenza

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…

Biomolecules · Quantitative Biology 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich
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