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Bifunctional enzymes, which catalyze both the forward and reverse steps of a substrate modification reaction, arise naturally in bacterial two-component signaling systems and metabolic regulation. Beyond their well-known role in conferring…

Dynamical Systems · Mathematics 2026-05-13 Badal Joshi , Tung D. Nguyen , Matthew D. Johnston

The dynamics of a chemical reaction network (CRN) is often modelled under the assumption of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial right-hand sides that describe the time evolution of…

Dynamical Systems · Mathematics 2023-01-05 Radek Erban , Hye-Won Kang

Random graph models have been instrumental in characterizing complex networks, but chemical reaction networks (CRNs) are better represented as hypergraphs. Traditional models of random CRNs often reduce CRNs to bipartite graphs,…

Statistical Mechanics · Physics 2025-07-15 Shesha Gopal Marehalli Srinivas , Massimiliano Esposito , Nahuel Freitas

The Chemical Reaction Networks (CRN) interpreted through the differential semantics, even when restricted to elementary reactions with mass action law kinetics, form a Turing-complete language. This means that any computable real function…

Quantitative Methods · Quantitative Biology 2026-05-25 Mathieu Hemery

We propose a unified framework that allows for the full mechanistic reconstruction of chemical reaction networks (CRNs) from concentration data. The framework utilizes an integral formulation of the differential equations governing the…

Numerical Analysis · Mathematics 2026-02-13 Abraham Reyes-Velazquez , Stefan Güttel , Igor Larrosa , Jonas Latz

Biological regulatory networks depend upon chemical interactions to process information. Engineering such molecular computing systems is a major challenge for synthetic biology and related fields. The chemical reaction network (CRN) model…

Emerging Technologies · Computer Science 2020-09-23 Cameron Chalk , Niels Kornerup , Wyatt Reeves , David Soloveichik

A complex balanced kinetic system is absolutely complex balanced (ACB) if every positive equilibrium is complex balanced. Two results on absolute complex balancing were foundational for modern chemical reaction network theory (CRNT): in…

Dynamical Systems · Mathematics 2021-12-28 Editha C. Jose , Eduardo R. Mendoza , Dylan Antonio SJ. Talabis

The concept of limiting step gives the limit simplification: the whole network behaves as a single step. However, in its simplest form this idea is applicable only to the simplest linear cycles in steady states. For such the simplest cycles…

Chemical Physics · Physics 2008-06-23 A. N. Gorban , O. Radulescu

Endowing continuum robots with compliance while it is interacting with the internal environment of the human body is essential to prevent damage to the robot and the surrounding tissues. Compared with passive compliance, active compliance…

Robotics · Computer Science 2024-01-30 David Jakes , Zongyuan Ge , Liao Wu

Dynamic material handling (DMH) involves the assignment of dynamically arriving material transporting tasks to suitable vehicles in real time for minimising makespan and tardiness. In real-world scenarios, historical task records are…

Neural and Evolutionary Computing · Computer Science 2025-06-23 Chengpeng Hu , Ziming Wang , Bo Yuan , Jialin Liu , Chengqi Zhang , Xin Yao

The quantitative convergence to equilibrium for reaction-diffusion systems arising from complex balanced chemical reaction networks with mass action kinetics is studied by using the so-called entropy method. In the first part of the paper,…

Analysis of PDEs · Mathematics 2016-11-11 Laurent Desvillettes , Klemens Fellner , Bao Quoc Tang

The ability to achieve coordinated behavior --engineered or emergent-- on networked systems has attracted widespread interest over several fields. This has led to remarkable advances on the development of a theoretical understanding of the…

Systems and Control · Computer Science 2019-09-16 Hancheng Min , Enrique Mallada

Understanding the evolution of electrified solid-liquid interfaces during electrochemical reactions is crucial. However, capturing the dynamic behavior of the interfaces with high temporal resolution and accuracy over long timescales…

Chemical Physics · Physics 2024-11-26 Letian Chen , Yun Tian , Xu Hu , Suya Chen , Huijuan Wang , Xu Zhang , Zhen Zhou

To what extent do the characteristic features of a chemical reaction network reflect its purpose and function? In general, one argues that correlations between specific features and specific functions are key to understanding a complex…

Statistical Mechanics · Physics 2012-03-22 Sang Hoon Lee , Sebastian Bernhardsson , Petter Holme , Beom Jun Kim , Petter Minnhagen

Similarly to gear systems in vehicles, most chemical reaction networks (CRNs) involved in energy transduction have at their disposal multiple transduction pathways, each characterized by distinct efficiencies. We conceptualize these…

Molecular Networks · Quantitative Biology 2025-07-24 Massimo Bilancioni , Massimiliano Esposito

Cataloging the complex behaviors of dynamical systems can be challenging, even when they are well-described by a simple mechanistic model. If such a system is of limited analytical tractability, brute force simulation is often the only…

Machine Learning · Computer Science 2023-01-04 Hunter Elliott

This paper proposes a continuous-time dynamic active weighted average consensus algorithm in which the agents can alternate between active and passive modes depending on their ability to access to their reference input. The objective is to…

Systems and Control · Electrical Eng. & Systems 2020-08-14 Yi-Fan Chung , Solmaz S. Kia

The large-scale integration of Distributed Energy Resources (DERs) into the electric power system offers new opportunities to ensure stability. For example, Active Distribution Networks (ADNs) can be used in (sub-)transmission systems in…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Jannik Zwartscholten , Christian Rehtanz

Open chemical reaction systems involve matter-exchange with the surroundings. As a result, species can accumulate inside a system during the course of the reaction. We study the role of network topology in governing the concentration…

Chemical Physics · Physics 2014-10-17 Kinshuk Banerjee , Kamal Bhattacharyya

We generate representative structural models of amorphous carbon (a-C) from constant-volume quenching from the liquid with subsequent relaxation of internal stresses in molecular dynamics simulations using empirical and machine-learning…

Materials Science · Physics 2020-01-07 Richard Jana , Daniele Savio , Volker L. Deringer , Lars Pastewka