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The hyperbolic dependence of catalytic rate on substrate concentration is a classical result in enzyme kinetics, quantified by the celebrated Michaelis-Menten equation. The ubiquity of this relation in diverse chemical and biological…

分子网络 · 定量生物学 2021-02-24 Ashutosh Kumar , R. Adhikari , Arti Dua

Stochastic chains represent a wide and key variety of phenomena in many branches of science within the context of Information Theory and Thermodynamics. They are typically approached by a sequence of independent events or by a memoryless…

统计力学 · 物理学 2017-03-06 J. Ricardo Arias-Gonzalez

We study a fundamental instability mechanism in nonlinear, nonlocal dynamical systems arising from the interaction of long-range memory and stochastic regime switching. The dynamics are governed by network-coupled, operator-valued Volterra…

统计理论 · 数学 2026-05-04 Mauricio Herrera-Marín

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

统计力学 · 物理学 2015-06-05 Udo Seifert

Statistical Mechanics deals with ensembles of microstates that are compatible with fixed constraints and that on average define a thermodynamic macrostate. The evolution of a small system is normally subjected to changing constraints and…

统计力学 · 物理学 2016-10-26 J. Ricardo Arias-Gonzalez

We examine a biomolecular machine involving a driven, observable process coupled to a hidden process in a kinetically cooperative manner. A stochastic thermodynamics framework is employed to analyze a fluctuation theorem for the…

统计力学 · 物理学 2025-11-14 D. Evan Piephoff , Jianshu Cao

Biological molecular machines are enzymes that simultaneously catalyze two processes, one donating free energy and second accepting it. Recent studies show that most native protein enzymes have a rich stochastic dynamics that often…

生物物理 · 物理学 2018-12-21 Michal Kurzynski , Przemyslaw Chelminiak

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

统计力学 · 物理学 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

Biological molecular machines are bifunctional enzymes that catalyze two processes: one donating free energy and the other accepting it. Recent studies show that most protein enzymes have rich stochastic dynamics of transitions between the…

生物物理 · 物理学 2023-02-02 Michal Kurzynski , Przemyslaw Chelminiak

Understanding energy transport at the nanoscale is an open and fundamental challenge in the molecular sciences with direct implications for the design of new electronics, computing devices, and materials. While nanoscale energy transport…

介观与纳米尺度物理 · 物理学 2025-10-15 Renai Chen , Galen T. Craven

The consistency across scales of a recently developed mathematical thermodynamic structure, between a continuous stochastic nonlinear dynamical system (diffusion process with Langevin or Fokker-Planck equations) and its emergent discrete,…

统计力学 · 物理学 2015-10-28 Moises Santillan , Hong Qian

Ever since the last two decades of the past century pioneering studies in the field of statistical physics had focused their efforts on developing models of neural networks that could display memory storage and retrieval. Though many…

无序系统与神经网络 · 物理学 2023-05-16 Enrico Ventura

Network inference approaches are widely used to shed light on regulatory interplay between molecular players such as genes and proteins. Biochemical processes underlying networks of interest (e.g. gene regulatory or protein signalling…

应用统计 · 统计学 2014-06-03 Chris J Oates , Bryan T Hennessy , Yiling Lu , Gordon B Mills , Sach Mukherjee

Empirical temporal networks display strong heterogeneities in their dynamics, which profoundly affect processes taking place on these networks, such as rumor and epidemic spreading. Despite the recent wealth of data on temporal networks,…

物理与社会 · 物理学 2014-10-13 Christian L. Vestergaard , Mathieu Génois , Alain Barrat

Small systems in a thermodynamic medium --- like colloids in a suspension or the molecular machinery in living cells --- are strongly affected by the thermal fluctuations of their environment. Physicists model such systems by means of…

统计力学 · 物理学 2014-10-16 Bernhard Altaner

Stochastic thermodynamics investigates energetic and entropic bounds in small systems. Foundational results, e.g., the first and second laws, predominantly rely on the Markov (memoryless) assumption. Although physicists recognise that the…

统计力学 · 物理学 2026-05-12 Kiyoshi Kanazawa , Andreas Dechant

Cell fate determination, the process through which cells commit to differentiated states is commonly mediated by gene regulatory motifs with mutually exclusive expression states. The classical deterministic picture for cell fate…

分子网络 · 定量生物学 2019-10-09 Manuel Pájaro , Irene Otero-Muras , Carlos Vázquez , Antonio A. Alonso

It has been proposed that neural noise in the cortex arises from chaotic dynamics in the balanced state: in this model of cortical dynamics, the excitatory and inhibitory inputs to each neuron approximately cancel, and activity is driven by…

无序系统与神经网络 · 物理学 2017-04-28 Nimrod Shaham , Yoram Burak

This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Markov jump processes are analyzed under a thermodynamic limit…

概率论 · 数学 2009-09-29 Nelson Antunes , Christine Fricker , Philippe Robert , Danielle Tibi

For a single enzyme or molecular motor operating in an aqueous solution of non-equilibrated solute concentrations, a thermodynamic description is developed on the level of an individual trajectory of transitions between states. The concept…

统计力学 · 物理学 2012-05-21 Udo Seifert
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