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Growth and decay are system-level properties of chemical reaction networks (CRNs) relevant from prebiotic chemistry to cellular metabolism. Their properties are typically analyzed through the kinetics of particular models, which requires…

分子网络 · 定量生物学 2026-03-31 Praful Gagrani , Jiwei Wang , Yannick De Decker , David Lacoste

Chemical reactor networks (CRNs) enable simulations of combustion reactors with detailed chemical kinetics and strongly simplified flow structure. In this paper, the implementation of a reactor component with less idealized flow structure,…

流体动力学 · 物理学 2023-05-22 Lisanne Gossel , Mathis Fricke , Dieter Bothe

Much of the theory on chemical-reaction networks (CRNs) has been developed in the ideal-solution limit, where interactions between the solutes are negligible. However, there is a large variety of phenomena in biological cells and…

生物物理 · 物理学 2022-12-09 Ander Movilla Miangolarra , Michele Castellana

Principles of feedback control have been shown to naturally arise in biological systems and successfully applied to build synthetic circuits. In this work we consider Biochemical Reaction Networks (CRNs) as a paradigm for modelling…

系统与控制 · 计算机科学 2019-03-26 Max Whitby , Luca Cardelli , Marta Kwiatkowska , Luca Laurenti , Mirco Tribastone , Max Tschaikowski

Continuous-time Markov chains are frequently used as stochastic models for chemical reaction networks, especially in the growing field of systems biology. A fundamental problem for these Stochastic Chemical Reaction Networks (SCRNs) is to…

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,…

统计力学 · 物理学 2025-07-15 Shesha Gopal Marehalli Srinivas , Massimiliano Esposito , Nahuel Freitas

Understanding the emergent behavior of chemical reaction networks (CRNs) is a fundamental aspect of biology and its origin from inanimate matter. A closed CRN monotonically tends to thermal equilibrium, but when it is opened to external…

分子网络 · 定量生物学 2024-05-16 Masanari Shimada , Pegah Behrad , Eric De Giuli

In many organisms the expression levels of each gene are controlled by the activation levels of known "Transcription Factors" (TF). A problem of considerable interest is that of estimating the "Transcription Regulation Networks" (TRN)…

应用统计 · 统计学 2010-11-09 Gareth M. James , Chiara Sabatti , Nengfeng Zhou , Ji Zhu

Chemical reaction networks (CRN) comprise an important class of models to understand biological functions such as cellular information processing, the robustness and control of metabolic pathways, circadian rhythms, and many more. However,…

分子网络 · 定量生物学 2025-03-25 Dimitri Loutchko , Yuki Sughiyama , Tetsuya J. Kobayashi

Chemical reaction networks (CRNs) exhibit complex dynamics governed by their underlying network structure. In this paper, we propose a novel approach to study the dynamics of CRNs by representing them on species graphs (S-graphs). By…

分子网络 · 定量生物学 2024-04-24 Keisuke Sugie , Dimitri Loutchko , Tetsuya J. Kobayashi

The online estimation of the derivative of an input signal is widespread in control theory and engineering. In the realm of chemical reaction networks (CRN), this raises however a number of specific issues on the different ways to achieve…

定量方法 · 定量生物学 2023-07-11 Mathieu Hemery , François Fages

Chemical reaction networks (CRNs) formally model chemistry in a well-mixed solution. CRNs are widely used to describe information processing occurring in natural cellular regulatory networks, and with upcoming advances in synthetic biology,…

计算复杂性 · 计算机科学 2015-03-20 Ho-Lin Chen , David Doty , David Soloveichik

Proposals for molecular communication networks as part of a future internet of bio-nano-things have become more intricate and the question of practical implementation is gaining more importance. One option is to apply detailed chemical…

新兴技术 · 计算机科学 2024-11-20 Alexander Wietfeld , Marina Wendrich , Sebastian Schmidt , Wolfgang Kellerer

We show that adding new chemical species into the reactions of a chemical reaction network (CRN) in such a way that the rank of the network remains unchanged preserves its capacity for multiple nondegenerate equilibria and/or periodic…

动力系统 · 数学 2022-09-14 Murad Banaji , Balázs Boros , Josef Hofbauer

The thermodynamic and dynamical conditions necessary to observe indefinite growth in homogeneous open chemical reaction networks (CRNs) satisfying mass action kinetics were presented in Srinivas et al. (2023): Unimolecular CRNs can only…

分子网络 · 定量生物学 2024-12-05 Shesha Gopal Marehalli Srinivas , Francesco Avanzini , Massimiliano Esposito

An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction networks (CRNs) with mass action kinetics. The original problem…

动力系统 · 数学 2011-07-05 Gabor Szederkenyi , Katalin M. Hangos , Zsolt Tuza

Metal energy carriers recently gained growing interest in research as a promising storage and transport material for renewable electricity. Within the development of a metal-fueled circular energy economy, research involves a model…

Chemical reaction networks (CRNs) are prototypical complex systems because reactions are nonlinear and connected in intricate ways, and they are also essential to understand living systems. Here, I discuss how recent developments in…

统计力学 · 物理学 2020-12-23 Massimiliano Esposito

The study of Chemical Reaction Networks (CRN's) is a very active field. Earlier well-known results \cite{Feinberg:def_01:87, Anderson:product_dist:10} identify a topological quantity called deficiency, for any CRN, which, when exactly equal…

统计力学 · 物理学 2017-10-11 Supriya Krishnamurthy , Eric Smith

The concept of the limiting step is extended to the asymptotology of multiscale reaction networks. Complete theory for linear networks with well separated reaction rate constants is developed. We present algorithms for explicit…

化学物理 · 物理学 2010-06-15 A. N. Gorban , O. Radulescu , A. Y. Zinovyev