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We perform molecular dynamics simulation of a small number of particles in a box with periodic boundary conditions from a view point of chaotic dynamical systems. There is a transition at a critical energy E_c that each particle is confined…

Statistical Mechanics · Physics 2009-11-13 Hidetsugu Sakaguchi

Molecular motors play pivotal roles in organizing the interior of cells. A motor efficient in cargo transport would move along cytoskeletal filaments with a high speed and a minimal error in transport distance (or time) while consuming a…

Biological Physics · Physics 2019-06-07 Wonseok Hwang , Changbong Hyeon

Classical phase transitions, like solid-liquid-gas or order-disorder spin magnetic phases, are all driven by thermal energy fluctuations by varying the temperature. On the other hand, quantum phase transitions happen at absolute zero…

Quantum Physics · Physics 2024-03-13 Sabre Kais

A stochastic model for the dynamics of enzymatic catalysis in explicit, effective solvents under physiological conditions is presented. Analytically-computed first passage time densities of a diffusing particle in a spherical shell with…

Biomolecules · Quantitative Biology 2015-06-04 Jeremy Schofield , Paul Inder , Raymond Kapral

Many biological functions are executed by molecular machines, which consume energy and convert it into mechanical work. Biological machines have evolved to transport cargo, facilitate folding of proteins and RNA, remodel chromatin and…

Biological Physics · Physics 2020-04-15 Mauro L. Mugnai , Changbong Hyeon , Michael Hinczewski , D. Thirumalai

Living systems operate in a critical dynamical regime -- between order and chaos -- where they are both resilient to perturbation, and flexible enough to evolve. To characterize such critical dynamics, the established 'structural theory' of…

Molecular Networks · Quantitative Biology 2022-01-28 Santosh Manicka , Manuel Marques-Pita , Luis M. Rocha

The efficiency at maximum power (EMP) for tight-coupling molecular motors is investigated within the framework of irreversible thermodynamics. It is found that the EMP depends merely on the constitutive relation between the thermodynamic…

Statistical Mechanics · Physics 2013-12-13 Z. C. Tu

External flows of energy, entropy, and matter can cause sudden transitions in the stability of biological and industrial systems, fundamentally altering their dynamical function. How might we control and design these transitions in chemical…

Molecular Networks · Quantitative Biology 2023-06-19 Zachary G. Nicolaou , Schuyler B. Nicholson , Adilson E. Motter , Jason R. Green

Dynamics of reaction coordinates during barrier-crossing are key to understand activated processes in complex systems such as proteins. The default assumption from Kramers physical intuition is that of a diffusion process. However, the…

Chemical Physics · Physics 2022-12-23 Farid Manuchehrfar , Huiyu Li , Ao Ma , Jie Liang

With potential relevance to biomechanics, an interesting problem in statistical mechanics not previously solved is a binary mechanical model system. Discrete chemical states of proteins are often associated with discrete metastable…

Statistical Mechanics · Physics 2025-01-22 Josh E. Baker

Recent experimental results suggest that the native fold, or topology, plays a primary role in determining the structure of the transition state ensemble, at least for small fast folding proteins. To investigate the extent of the…

Statistical Mechanics · Physics 2007-05-23 Cecilia Clementi , Hugh Nymeyer , Jose' Nelson Onuchic

Biomolecular machines consume free energy to break symmetry and make directed progress. Nonequilibrium ATP concentrations are the typical free energy source, with one cycle of a molecular machine consuming a certain number of ATP, providing…

Statistical Mechanics · Physics 2017-10-23 Aidan I Brown , David A Sivak

We study self-organisation of collective motion as a thermodynamic phenomenon, in the context of the first law of thermodynamics. It is expected that the coherent ordered motion typically self-organises in the presence of changes in the…

Statistical Mechanics · Physics 2018-01-24 Emanuele Crosato , Richard E. Spinney , Ramil Nigmatullin , Joseph T. Lizier , Mikhail Prokopenko

With exquisite precision and reproducibility, cells orchestrate the cooperative action of thousands of nanometer-sized molecular motors to carry out mechanical tasks at much larger length scales, such as cell motility, division and…

Soft Condensed Matter · Physics 2013-01-08 Tim Sanchez , Daniel T. N. Chen , Stephen J. DeCamp , Michael Heymann , Zvonimir Dogic

Multiple dynamic pathways always exist in biological networks, but their robustness against internal fluctuations and relative stability have not been well recognized and carefully analyzed yet. Here we try to address these issues through…

Molecular Networks · Quantitative Biology 2015-11-27 Yongyi Guo , Zhiyi You , Min Qian , Hao Ge

In most natural sciences there is currently the insight that it is necessary to bridge gaps between different processes which can be observed on different scales. This is especially true in the field of chemical reactions where the…

Molecular Networks · Quantitative Biology 2008-03-03 L. Sbano , M. Kirkilionis

In the cell, proteins fold and perform complex functions through global structural rearrangements. Function requires a protein to be at the brink of stability to be susceptible to small environmental fluctuations, yet stable enough to…

We report the first study of a network of connected enzyme-catalyzed reactions, with added chemical and enzymatic processes that incorporate the recently developed biochemical filtering steps into the functioning of this biocatalytic…

Molecular Networks · Quantitative Biology 2013-12-17 Vladimir Privman , Oleksandr Zavalov , Lenka Halamkova , Fiona Moseley , Jan Halamek , Evgeny Katz

We consider the role of quantum effects in the transfer of hyrogen-like species in enzyme-catalysed reactions. This study is stimulated by claims that the observed magnitude and temperature dependence of kinetic isotope effects imply that…

Quantum Physics · Physics 2010-05-25 Jacques P. Bothma , Joel Gilmore , Ross H. McKenzie

The biomolecules in and around a living cell -- proteins, nucleic acids, lipids, carbohydrates -- continuously sample myriad conformational states that are thermally accessible at physiological temperatures. Simultaneously, a given…

Biomolecules · Quantitative Biology 2014-07-15 Cameron Mura , Charles E. McAnany
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