English
Related papers

Related papers: Thermodynamics of Growth in Open Chemical Reaction…

200 papers

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…

Molecular Networks · Quantitative Biology 2024-12-05 Shesha Gopal Marehalli Srinivas , Francesco Avanzini , Massimiliano Esposito

We address a fundamental question: under which conditions do the dynamics and thermodynamics of open chemical reaction networks (CRNs), grounded on the notion of idealized chemostats that exchange selected species, emerge from underlying…

Statistical Mechanics · Physics 2026-04-17 Benedikt Remlein , Massimiliano Esposito , Francesco Avanzini

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…

Molecular Networks · Quantitative Biology 2024-05-16 Masanari Shimada , Pegah Behrad , Eric De Giuli

Living systems operate out of equilibrium, continuously consuming energy to sustain organised, functional states. Their emergent behaviour usually relies on a set of interconnected chemical reaction networks (CRNs) driven by external fluxes…

Statistical Mechanics · Physics 2026-02-03 Shiling Liang , Paolo De Los Rios , Daniel Maria Busiello

We consider growing open chemical reaction systems (CRSs), in which autocatalytic chemical reactions are encapsulated in a finite volume and its size can change in conjunction with the reactions. The thermodynamics of growing CRSs is…

Statistical Mechanics · Physics 2022-08-30 Yuki Sughiyama , Atsushi Kamimura , Dimitri Loutchko , Tetsuya J. Kobayashi

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…

Statistical Mechanics · Physics 2020-12-23 Massimiliano Esposito

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…

Molecular Networks · Quantitative Biology 2026-03-31 Praful Gagrani , Jiwei Wang , Yannick De Decker , David Lacoste

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…

Dynamical Systems · Mathematics 2022-09-14 Murad Banaji , Balázs Boros , Josef Hofbauer

A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN has a corresponding set of ordinary differential equations…

Dynamical Systems · Mathematics 2021-04-20 Bryan S. Hernandez , Ralph John L. De la Cruz

We delve into growing open chemical reaction systems (CRSs) characterized by autocatalytic reactions within a variable volume, which changes in response to these reactions. Understanding the thermodynamics of such systems is crucial for…

Statistical Mechanics · Physics 2024-05-06 Atsushi Kamimura , Yuki Sughiyama , Tetsuya J. Kobayashi

Motivation: A Chemical Reaction Network (CRN) is a set of chemical reactions, which can be very complex and difficult to analyze. Indeed, dynamical properties of CRNs can be described by a set of non-linear differential equations that…

Computational Engineering, Finance, and Science · Computer Science 2021-07-02 Lucia Nasti , Roberta Gori , Paolo Milazzo , Federico Poloni

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

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…

Molecular Networks · Quantitative Biology 2024-04-24 Keisuke Sugie , Dimitri Loutchko , Tetsuya J. Kobayashi

The interaction of phase-separating systems with chemical reactions is of great interest in various contexts, from biology to material science. In biology, phase separation is thought to be the driving force behind the formation of…

Soft Condensed Matter · Physics 2026-01-08 Franco Blanchini , Elisa Franco , Giulia Giordano , Dino Osmanovic

One of the puzzles left open by energetic analyses of irreversible stochastic processes is that boundary conditions that prevent the performance of work or the dissipation of heat make no contribution to an entropy-production budget; yet we…

Molecular Networks · Quantitative Biology 2025-10-30 Praful Gagrani , Nino Lauber , Eric Smith , Christoph Flamm

All current formulations of nonequilibrium thermodynamics of open chemical reaction networks rely on the assumption of non-interacting species. We develop a general theory which accounts for interactions between chemical species within a…

Statistical Mechanics · Physics 2021-03-09 Francesco Avanzini , Emanuele Penocchio , Gianmaria Falasco , Massimiliano Esposito

Power law dynamics is used to describe the stability behavior in metabolic networks such as chemical reaction networks (CRN's). These systems allow multiple steady states within a single stoichiometric class. On the other side thermodynamic…

Dynamical Systems · Mathematics 2020-07-10 Gunther Friedrich Neumann

Chemical Reaction Networks (CRNs) provide a useful abstraction of molecular interaction networks in which molecular structures as well as mass conservation principles are abstracted away to focus on the main dynamical properties of the…

Molecular Networks · Quantitative Biology 2020-07-31 Elisabeth Degrand , François Fages , Sylvain Soliman

We develop a thermodynamic framework for closed and open chemical networks applicable to non-elementary reactions that do not need to obey mass action kinetics. It only requires the knowledge of the kinetics and of the standard chemical…

Statistical Mechanics · Physics 2020-09-16 Francesco Avanzini , Gianmaria Falasco , Massimiliano Esposito

We provide a rigorous definition of free-energy transduction and its efficiency in arbitrary -- linear or nonlinear -- open chemical reaction networks (CRNs) operating at steady state. Our method is based on the knowledge of the…

Molecular Networks · Quantitative Biology 2022-06-15 Artur Wachtel , Riccardo Rao , Massimiliano Esposito
‹ Prev 1 2 3 10 Next ›