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Autocatalytic chemical networks play a predominant role in a large number of natural systems such as in metabolic pathways and in ecological networks. Despite recent efforts, the precise impact of thermodynamic constraints on these networks…

Chemical Physics · Physics 2024-06-14 Armand Despons , Yannick de Decker , David Lacoste

Autocatalytic Sets are reaction networks theorised as networks at the basis of life. Their main feature is the ability of spontaneously emerging and self-reproducing. The Reflexively and Food-generated theory provides a formal definition of…

Molecular Networks · Quantitative Biology 2020-10-19 Alessandro Ravoni

Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Recently, Blokhuis et al. gave a stoechiometric definition of autocatalysis for reaction networks, stating the existence of a combination of reactions…

Molecular Networks · Quantitative Biology 2022-01-25 Jeremie Unterberger , Philippe Nghe

Autocatalysis is a deceptively simple concept, referring to the situation that a chemical species $X$ catalyzes its own formation. From the perspective of chemical kinetics, autocatalysts show a regime of super-linear growth. Given a…

Molecular Networks · Quantitative Biology 2021-07-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Autocatalytic sets are sets of entities that mutually catalyse each other's production through chemical reactions from a basic food source. Recently, the reflexively autocatalytic and food generated theory has introduced a formal definition…

Adaptation and Self-Organizing Systems · Physics 2020-09-15 Alessandro Ravoni

This paper develops some basic principles to study autocatalytic networks and exploit their structural properties in order to characterize their inherent fundamental limits and tradeoffs. In a dynamical system with autocatalytic structure,…

Systems and Control · Computer Science 2017-06-30 Milad Siami , Nader Motee , Gentian Buzi , Bassam Bamieh , Mustafa Khammash , John C. Doyle

The concept of (auto)catalytic systems has become a cornerstone in understanding evolutionary processes in various fields. The common ground is the observation that for the production of new species/goods/ideas/elements etc. the…

Populations and Evolution · Quantitative Biology 2009-11-13 Rudolf Hanel , Peter Klimek , Stefan Thurner

The emergence of self-sustaining autocatalytic networks in chemical reaction systems has been studied as a possible mechanism for modelling how living systems first arose. It has been known for several decades that such networks will form…

Molecular Networks · Quantitative Biology 2020-11-24 Stuart Kauffman , Mike Steel

We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system called replicator equations, are a possible mechanism for…

Dynamical Systems · Mathematics 2021-04-23 Badal Joshi , Gheorghe Craciun

Life is commonly described as a self-organized, far-from-equilibrium process that maintains internal order by consuming free energy and exporting entropy. This thermodynamic view underlies diverse theoretical frameworks -- from autopoiesis…

Biological Physics · Physics 2025-12-23 Didier Sornette , Virgile Troude

External flows of energy, entropy, and matter can cause sudden transitions in the stability of biological and industrial systems, fundamentally altering their dynamical function. How might we control and design these transitions in chemical…

Molecular Networks · Quantitative Biology 2023-06-19 Zachary G. Nicolaou , Schuyler B. Nicholson , Adilson E. Motter , Jason R. Green

Topological protection has emerged as an organizing principle for understanding and engineering robust collective behavior in electronic and material systems. Recent work suggests that topology may also play a role in organizing stochastic…

Statistical Mechanics · Physics 2022-06-17 Pankaj Mehta , Jason Rocks

The emergence of autocatalytic sets of molecules seems to have played an important role in the origin of life context. Although the possibility to reproduce this emergence in laboratory has received considerable attention, this is still far…

Adaptation and Self-Organizing Systems · Physics 2015-02-04 Alessandro Filisetti , Marco Villani , Chiara Damiani , Alex Graudenzi , Andrea Roli , Wim Hordijk , Roberto Serra

We determine conditions under which a random biochemical system is likely to contain a subsystem that is both autocatalytic and able to survive on some ambient `food' source. Such systems have previously been investigated for their…

Molecular Networks · Quantitative Biology 2007-05-23 Elchanan Mossel , Mike Steel

Autocatalytic chemical reaction networks can collectively replicate or maintain their constituents despite degradation reactions only above a certain threshold, which we refer to as the decay threshold. When the chemical network has a…

Molecular Networks · Quantitative Biology 2025-11-17 Armand Despons , Jérémie Unterberger , David Lacoste

Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manfred Eigen. We investigate the dynamics of certain networks…

Dynamical Systems · Mathematics 2020-12-14 Gheorghe Craciun , Abhishek Deshpande , Badal Joshi , Polly Y. Yu

Background: Autocatalytic sets are often considered a necessary (but not sufficient) condition for the origin and early evolution of life. Although the idea of autocatalytic sets was already conceived of many years ago, only recently have…

Molecular Networks · Quantitative Biology 2012-06-06 Wim Hordijk , Mike Steel

We propose a housekeeping/excess decomposition of entropy production for general nonlinear dynamics in a discrete space, including chemical reaction networks and discrete stochastic systems. We exploit the geometric structure of…

Statistical Mechanics · Physics 2023-01-19 Kohei Yoshimura , Artemy Kolchinsky , Andreas Dechant , Sosuke Ito

Given any finite and closed chemical reaction system, it is possible to efficiently determine whether or not it contains a `self-sustaining and collectively autocatalytic' subset of reactions, and to find such subsets when they exist.…

Molecular Networks · Quantitative Biology 2015-01-26 Mike Steel

Autocatalysis is an important feature of metabolic networks, contributing crucially to the self-maintenance of organisms. Autocatalytic subsystems of chemical reaction networks (CRNs) are characterized in terms of algebraic conditions on…

Molecular Networks · Quantitative Biology 2026-05-06 Richard Golnik , Thomas Gatter , Peter F. Stadler , Nicola Vassena
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