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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

Two alternative views of an economy are combined and studied. The first view is that of technological evolution as a process of combinatorial innovation. Recently a simple mathematical model (TAP) was introduced to study such a…

分子网络 · 定量生物学 2022-04-13 Wim Hordijk , Stuart Kauffman

An autocatalytic pattern matching polymer system is studied as an abstract model for chemical ecosystem evolution. Highly ordered populations with particular sequence patterns appear spontaneously out of a vast number of possible states.…

分子网络 · 定量生物学 2015-06-17 Shinpei Tanaka , Harold Fellermann , Steen Rasmussen

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

This paper presents new results from a detailed study of the structure of autocatalytic sets. We show how autocatalytic sets can be decomposed into smaller autocatalytic subsets, and how these subsets can be identified and classified. We…

分子网络 · 定量生物学 2012-05-07 Wim Hordijk , Mike Steel , Stuart Kauffman

A poorly understood step in the transition from a chemical to a biological world is the emergence of self-replicating molecular systems. We study how a precursor for such a replicator might arise in a hydrothermal RNA reactor, which…

生物大分子 · 定量生物学 2011-06-30 B. Obermayer , H. Krammer , D. Braun , U. Gerland

The aims of this paper are to propose, construct and analyse microscopic kinetic models for the emergence of long chains of RNA from monomeric beta-D-ribonucleotide precursors in prebiotic circumstances. Our theory starts out from similar…

adap-org · 物理学 2007-05-23 Jonathan A. D. Wattis , Peter V. Coveney

To unveil the logic of cell from a level of chemical reaction dynamics, we need to clarify how ensemble of chemicals can autonomously produce the set of chemical, without assuming a specific external control echanism. A cell consists of a…

分子网络 · 定量生物学 2007-05-23 Kunihiko Kaneko

Deep generative models are able to suggest new organic molecules by generating strings, trees, and graphs representing their structure. While such models allow one to generate molecules with desirable properties, they give no guarantees…

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

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

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…

分子网络 · 定量生物学 2021-07-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

We develop a formal model of the emergence of self-constructing objects (e.g. heteropolymers with autocatalytic capability) in an open system, which don't contain such objects initially. The objects are constructed from subunits (e.g.…

统计力学 · 物理学 2025-01-06 P. O. Mchedlov-Petrosyan , L. N. Davydov

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

Self-replicating systems based on information-coding polymers are of crucial importance in biology. They also recently emerged as a paradigm in material design on nano- and micro-scales. We present a general theoretical and numerical…

软凝聚态物质 · 物理学 2015-07-15 Alexei V. Tkachenko , Sergei Maslov

Protocells are supposed to have played a key role in the self-organizing processes leading to the emergence of life. Existing models either (i) describe protocell architecture and dynamics, given the existence of sets of collectively…

分子网络 · 定量生物学 2014-08-01 Roberto Serra , Alessandro Filisetti , Marco Villani , Alex Graudenzi , Chiara Damiani , Tommaso Panini

The fields of Origin of Life and Artificial Life both question what life is and how it emerges from a distinct set of "pre-life" dynamics. One common feature of most substrates where life emerges is a marked shift in dynamics when…

The ability of a chemical reaction network to generate itself by catalyzed reactions from constantly present environmental food sources is considered a fundamental property in origin-of-life research. Based on Kaufmann's autocatalytic sets,…

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

An important transition after the origin of life was the first emergence of a Darwinian population, self-reproducing entities exhibiting differential reproduction, phenotypic variation, and inheritance of phenotypic traits. The simplest…

The RNA World hypothesis predicts that self-replicating RNAs evolved before DNA genomes and coded proteins. Despite widespread support for the RNA World, self-replicating RNAs have yet to be identified in a natural context, leaving a key…

生物大分子 · 定量生物学 2025-03-12 Jacob L. Fine , Alan M. Moses