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Flux analysis is a class of constraint-based approaches to the study of biochemical reaction networks: they are based on determining the reaction flux configurations compatible with given stoichiometric and thermodynamic constraints. One of…

Molecular Networks · Quantitative Biology 2015-05-18 A. De Martino , E. Marinari

There is a high degree of compartmentalization in the living cell where various compartments sustain different chemical reactions and transport reactants among themselves. It is exactly such situation that is investigated. The main…

Statistical Mechanics · Physics 2009-11-11 Zoran Konkoli

In this paper, a mathematical model is developed to describe the evolution of the concentration of compounds through a gas chromatography column. The model couples mass balances and kinetic equations for all components. Both single and…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 A. Cabrera-Codony , A. Valverde , K. Born , O. A. I. Noreldin , T. G. Myers

The reactivity of fusion plasma depends not only on its local density and temperature but also, through a recently identified kinetic effect, on the relative velocities of nearby fluid elements. Turbulence on fine spatial scales therefore…

Plasma Physics · Physics 2025-06-17 Henry Fetsch , Nathaniel J. Fisch

We report experimental measurements of Lagrangian accelerations in the bulk of intense turbulent flows of dilute polymer solutions by following tracer particles with a high-speed optical tracking system. We observed a significant decrease…

Fluid Dynamics · Physics 2009-11-13 Alice M. Crawford , Nicolas Mordant , Haitao Xu , Eberhard Bodenschatz

A general framework for performing event-driven simulations of systems with semi-flexible or rigid bodies interacting under impulsive torques and forces is outlined. Two different approaches are presented. In the first, the dynamics and…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

We consider systems characterized by the presence of a rapidly oscillating force. A general method is presented for the construction of the effective action governing the large-scale nonlinear dynamics of such systems order by order in…

Chaotic Dynamics · Physics 2026-05-29 Afshin Besharat , Alexander A. Penin

This work presents an integrated framework of: vehicle dynamics models, with a particular attention to instabilities and traffic waves; vehicle energy models, with particular attention to accurate energy values for strongly unsteady driving…

Stochasticity plays important roles in reaction systems. Vector fields of probability flux and velocity characterize time-varying and steady-state properties of these systems, including high probability paths, barriers, checkpoints among…

Molecular Networks · Quantitative Biology 2018-12-05 Anna Terebus , Chun Liu , Jie Liang

The problems of nonlinearity and high dimension have so far prevented a complete solution of the control of turbulent flow. Addressing the problem of nonlinearity, we propose a flow control strategy which ensures that the energy of any…

Fluid Dynamics · Physics 2013-01-22 A S Sharma , J F Morrison , B J McKeon , D J N L Limebeer , W H Koberg , S J Sherwin

The dynamics of low-dimensional Brownian particles coupled to time-dependent driven anisotropic heavy particles (mesogens) in a uniform bath (solvent) have been described through the use of a variant of the stochastic Langevin equation. The…

Statistical Mechanics · Physics 2007-05-23 Eli Hershkovits , Rigoberto Hernandez

The method of Lagrangian descriptors has been already applied in many different contexts, specially in geophysical flows. In this paper we analyze the performance of this methodology in incompressible flows. We demonstrate that barriers to…

Dynamical Systems · Mathematics 2017-03-08 Alfonso Ruiz-Herrera

Given their increasing participation in fast-changing markets, the integration of scheduling and control is an important consideration in chemical process operations. This generally involves computing optimal production schedules using…

Optimization and Control · Mathematics 2020-05-19 Calvin Tsay , Michael Baldea

In a pair of linked articles (called Article I and II respectively) we apply the concept of Lagrangian Coherent Structures borrowed from the study of Dynamical Systems to magnetic field configurations in order to separate regions where…

Plasma Physics · Physics 2018-06-13 G. Di Giannatale , M. V. Falessi , D. Grasso , F. Pegoraro , T. J. Schep

One of the hypothesized functions of biomolecular condensates is to act as chemical reactors, where chemical reactions can be modulated, i.e. accelerated or slowed down, while substrate molecules enter and products exit from the condensate.…

Biological Physics · Physics 2024-07-02 Alexandra Shelest , Hugo Le Roy , Daniel M. Busiello , Paolo De Los Rios

Organic synthesis stands as a cornerstone of the chemical industry. The development of robust machine learning models to support tasks associated with organic reactions is of significant interest. However, current methods rely on…

Machine Learning · Computer Science 2025-01-06 Kaipeng Zeng , Xianbin Liu , Yu Zhang , Xiaokang Yang , Yaohui Jin , Yanyan Xu

With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in…

Quantum Physics · Physics 2022-11-21 Qi Zhang , Xi Chen , David Guéry-Odelin

Accessing and characterizing a flow impose a number of constraints on the employed measurement techniques; in particular optical methods require transparent fluids and windows in the vessel. Whereas one can adapt apparatus, fluid and…

We derive a limit on energy savings in controlled channel flow. For flow in a channel driven by pressure, shear, or any combination of the two, and controlled via wall transpiration or spanwise wall motion, the uncontrolled laminar state…

Fluid Dynamics · Physics 2023-01-11 Daniel Floryan

We consider reaction-diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions on an evolving domain. Using Lyapunov functional and duality arguments, we establish…

Analysis of PDEs · Mathematics 2021-02-02 Vandana Sharma , Jyotshana V. Prajapat