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Translating metabolic networks into dynamic models is difficult if kinetic constants are unknown. Structural Kinetic Modelling (SKM) replaces reaction elasticities by independent random numbers. Here I propose a variant that accounts for…

Molecular Networks · Quantitative Biology 2022-03-08 Wolfram Liebermeister

Driven chemical reactions can control the macroscopic properties of droplets, like their size. Such active droplets are critical in structuring the interior of biological cells. Cells also need to control where and when droplets appear, so…

Soft Condensed Matter · Physics 2024-03-15 Noah Ziethen , Jan Kirschbaum , David Zwicker

We analyse a dynamic control problem for scalar reaction-diffusion equations, focusing on the emulation of pattern formation through the selection of appropriate active controls. While boundary controls alone prove inadequate for…

Optimization and Control · Mathematics 2024-07-26 Domènec Ruiz-Balet , Enrique Zuazua

Within a fully microscopic setting, we derive a variational principle for the non-equilibrium steady states of chemical reaction networks, valid for time-scales over which chemical potentials can be taken to be slowly varying: at…

Molecular Networks · Quantitative Biology 2015-06-05 Andrea De Martino , Daniele De Martino , Roberto Mulet , Guido Uguzzoni

We consider the context of molecular motors modelled by a diffusion process driven by the gradient of a weakly periodic potential that depends on an internal degree of freedom. The switch of the internal state, that can freely be…

Probability · Mathematics 2024-02-02 Serena Della Corte , Richard C. Kraaij

The intrinsic dynamics of a system with open decay channels is described by an effective non-Hermitian Hamiltonian which at the same time allows one to find the external dynamics, - reaction cross sections. We discuss ways of incorporating…

Nuclear Theory · Physics 2009-11-07 Alexander Volya , Vladimir Zelevinsky

Nuclear reactors are often modeled as inflexible baseload generators with fixed downtimes and restrictive ramping constraints. In practice, however, a reactor's operational flexibility is closely tied to its fuel cycle and associated…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Shiny Choudhury , Michael Davidson , George Tynan

Biological systems encode function not primarily in steady states, but in the structure of transient responses elicited by time-varying stimuli. Overshoots, biphasic dynamics, adaptation kinetics, fold-change detection, entrainment, and…

Quantitative Methods · Quantitative Biology 2026-01-05 Eduardo D. Sontag

We investigate quantum revivals in the dynamics of an atom in an atomic Fermi accelerator. It is demonstrated that the external driving field influences the revival time significantly. Analytical expressions are presented which are based on…

Quantum Physics · Physics 2009-11-06 Farhan Saif

Biomolecular condensates are small droplets forming spontaneously in biological cells via phase separation. They play a role in many cellular processes, but it is unclear how cells control them. Cellular regulation often relies on…

Soft Condensed Matter · Physics 2024-03-15 Jan Kirschbaum , David Zwicker

Molecules with complex internal structure in time-dependent periodic potentials are studied by using short Rubinstein-Duke model polymers as an example. We extend our earlier work on transport in stochastically varying potentials to cover…

Statistical Mechanics · Physics 2015-05-18 Janne Kauttonen , Juha Merikoski

In this paper, we investigate how stochastic reaction processes are affected by external perturbations. We describe an extension of the deterministic metabolic control analysis (MCA) to the stochastic regime. We introduce stochastic…

Quantitative Methods · Quantitative Biology 2009-08-21 Kyung Hyuk Kim , Herbert M. Sauro

Viscosity, the resistance of a liquid to flow, is driven by atomic-scale friction but its microscopic origin remains poorly understood. We use a theoretical framework based on nonaffine linear response to decompose the viscosity of metallic…

Soft Condensed Matter · Physics 2026-05-14 Long-Zhou Huang , Bingyu Cui , Min-Qiang Jiang , Matteo Baggioli , Yun-Jiang Wang

We consider control of reaction and population systems by deterministically imposed transitions between the states with different numbers of particles or individuals. Even where the imposed transitions are significantly less frequent than…

Statistical Mechanics · Physics 2011-02-07 M. Khasin , M. I. Dykman

The activity of catalytic materials is reduced during operation by several mechanisms, one of them being poisoning of catalytic sites by chemisorbed impurities or products. Here we study the effects of poisoning in two reaction-diffusion…

Statistical Mechanics · Physics 2015-05-13 T. G. Mattos , Fabio D. A. Aarao Reis

One-dimensional reaction-diffusion systems are mapped through a similarity transformation onto integrable (and a priori non-stochastic) quantum chains. Time-dependent properties of these chemical models can then be found exactly. The…

Statistical Mechanics · Physics 2009-10-28 Malte Henkel , Enzo Orlandini , Jaime Santos

Catalysts speed up chemical reactions with no energy input and without being transformed in the process, therefore leaving equilibrium constants unchanged. Some catalysts, however, are much more efficient at accelerating one direction of a…

Soft Condensed Matter · Physics 2025-06-06 Sara Mahdavi , Yann Sakref , Olivier Rivoire

Hydrogen, being the most abundant element, is the driver of many if not most reactions occurring on interstellar dust grains. In hydrogen atom addition reactions, the rate is usually determined by the surface kinetics of the hydrogen atom…

Instrumentation and Methods for Astrophysics · Physics 2017-12-27 Jiao He , Shahnewaj M. Emtiaz , Gianfranco Vidali

Biomolecular machines transduce between different forms of energy. These machines make directed progress and increase their speed by consuming free energy, typically in the form of nonequilibrium chemical concentrations. Machine dynamics…

Statistical Mechanics · Physics 2018-10-05 Aidan I Brown , David A Sivak

Within the frame of quantum optics we analyze the properties of spontaneous emission of two-level atom in media with indefinite permittivity tensor where the geometry of the dispersion relation is characterized by an ellipsoid or a…

Optics · Physics 2012-03-06 Zheng Liu , Wei Li , Xunya Jiang
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