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Autocatalysis, the ability of a chemical system to make more of itself, is a crucial feature in metabolism and is speculated to have played a decisive role in the origin of life. Nevertheless, how autocatalytic systems behave far from…

Chemical Physics · Physics 2024-10-23 Armand Despons

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

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

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 define catalytic networks as chemical reaction networks with an essentially catalytic reaction pathway: one which is on in the presence of certain catalysts and off in their absence. We show that examples of catalytic networks include…

Molecular Networks · Quantitative Biology 2011-11-18 Manoj Gopalkrishnan

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

We consider performance deterioration of interconnected linear dynamical networks subject to exogenous stochastic disturbances. The focus of this paper is on first-order and second-order linear consensus networks. We employ the expected…

Optimization and Control · Mathematics 2014-12-19 Milad Siami , Nader Motee

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

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

Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Autocatalysis was recently defined stoichiometrically for reaction networks; five types of minimal autocatalytic networks, termed autocatalytic cores were…

Molecular Networks · Quantitative Biology 2025-07-22 Praneet Nandan , Philippe Nghe , Jeremie Unterberger

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

We have a general knowledge of the principles by which catalysts accelerate the rate of chemical reactions but no precise understanding of the geometrical and physical constraints to which their design is subject. To analyze these…

Biomolecules · Quantitative Biology 2019-11-11 Olivier Rivoire

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

Mutation is introduced into autocatalytic reaction networks. Examples of low dimensional dynamical systems --- n = 2, 3 and 4 --- are discussed and complete qualitative analysis is presented. Error thresholds known from simple…

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 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

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

Understanding the fundamental limits of state convertibility is crucial for establishing the boundaries of quantum information processing and thermodynamic efficiency. While auxiliary systems, catalysts, can facilitate otherwise impossible…

Quantum Physics · Physics 2026-03-06 Jingsong Ao , Aby Philip , Alexander Streltsov

Self-sustaining autocatalytic networks play a central role in living systems, from metabolism at the origin of life, simple RNA networks, and the modern cell, to ecology and cognition. A collectively autocatalytic network that can be…

Molecular Networks · Quantitative Biology 2018-03-29 Mike Steel , Wim Hordijk
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