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The catalytic reaction system (CRS) formalism by Hordijk and Steel is a versatile method to model autocatalytic biochemical reaction networks. It is particularly suited, and has been widely used, to study self-sustainment and…

分子网络 · 定量生物学 2023-08-16 Dimitri Loutchko

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…

分子网络 · 定量生物学 2018-03-29 Mike Steel , Wim Hordijk

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…

分子网络 · 定量生物学 2020-10-19 Alessandro Ravoni

Autocatalysis lies at the heart of many (bio)chemical processes and is key to processes leading up to the origin of life. Two seemingly very different formalisms have emerged that define autocatalysis. Kauffman introduced collective…

分子网络 · 定量生物学 2026-05-26 Richard Golnik , Thomas Gatter , Wim Hordijk , Peter F. Stadler , Nicola Vassena

The emergence of an autocatalytic network from an available set of elements is a fundamental step in early evolutionary processes, such as the origin of metabolism. Given a set of elements, the reactions between them (chemical or…

分子网络 · 定量生物学 2023-08-30 Mike Steel

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…

适应与自组织系统 · 物理学 2015-02-04 Alessandro Filisetti , Marco Villani , Chiara Damiani , Alex Graudenzi , Andrea Roli , Wim Hordijk , Roberto Serra

A universal feature of the biochemistry of any living system is that all the molecules and catalysts that are required for reactions of the system can be built up from an available food source by repeated application of reactions from…

分子网络 · 定量生物学 2013-07-11 Wim Hordijk , Peter R. Wills , Mike Steel

A key step in the origin of life is the emergence of a primitive metabolism. This requires the formation of a subset of chemical reactions that is both self-sustaining and collectively autocatalytic. A generic theory to study such processes…

分子网络 · 定量生物学 2019-10-22 Oliver Weller-Davies , Mike Steel , Jotun Hein

It is becoming widely accepted that very early in the origin of life, even before the emergence of genetic encoding, reaction networks of diverse small chemicals might have manifested key properties of life, namely self-propagation and…

种群与进化 · 定量生物学 2023-01-05 Zhen Peng , Alex Plum , Praful Gagrani , David A. Baum

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…

分子网络 · 定量生物学 2026-05-06 Richard Golnik , Thomas Gatter , Peter F. Stadler , Nicola Vassena

Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of…

适应与自组织系统 · 物理学 2014-03-05 Sanjay Jain , Sandeep Krishna

Developing a mathematical understanding of autocatalysis in reaction networks has both theoretical and practical implications. We review definitions of autocatalytic networks and prove some properties for minimal autocatalytic subnetworks…

分子网络 · 定量生物学 2023-11-14 Praful Gagrani , Victor Blanco , Eric Smith , David Baum

The dominant paradigm in origin of life research is that of an RNA world. However, despite experimental progress towards the spontaneous formation of RNA, the RNA world hypothesis still has its problems. Here, we introduce a novel…

分子网络 · 定量生物学 2017-01-31 Wim Hordijk

Self-sustaining autocatalytic chemical networks represent a necessary, though not sufficient condition for the emergence of early living systems. These networks have been formalised and investigated within the framework of RAF theory, which…

分子网络 · 定量生物学 2012-12-19 Mike Steel , Wim Hordijk , Joshua Smith

Autocatalytic sets are self-catalyzing and self-sustaining chemical reaction networks that are believed to have played an important role in the origin of life. They have been studied extensively both theoretically as well as experimentally.…

分子网络 · 定量生物学 2023-03-06 Wim Hordijk

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…

动力系统 · 数学 2021-04-20 Bryan S. Hernandez , Ralph John L. De la Cruz

For the investigation of chemical reaction networks, the efficient and accurate determination of all relevant intermediates and elementary reactions is mandatory. The complexity of such a network may grow rapidly, in particular if reactive…

化学物理 · 物理学 2016-01-08 Maike Bergeler , Gregor N. Simm , Jonny Proppe , Markus Reiher

Biological systems exhibit processes on a wide range of time and length scales. This work demonstrates that models, wherein the interaction between system constituents is captured by algebraic operations, inherently allow for successive…

分子网络 · 定量生物学 2019-08-16 Dimitri Loutchko

Background: The idea that autocatalytic sets played an important role in the origin of life is not new. However, the likelihood of autocatalytic sets emerging spontaneously has long been debated. Recently, progress has been made along two…

分子网络 · 定量生物学 2012-11-16 Wim Hordijk , Mike Steel

Chemical systems are traditionally described by lists of species, reactions, and externally imposed kinetic laws, a framework that lacks an intrinsic algebraic structure governing how transformations compose. We propose an axiomatic…

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