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Natural Computing

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01-09-2014

An investigation into irreducible autocatalytic sets and power law distributed catalysis

Authors: Wim Hordijk, Leonard Hasenclever, Jie Gao, Dilyana Mincheva, Jotun Hein

Published in: Natural Computing | Issue 3/2014

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Abstract

RAF theory has been established as a useful and formal framework for studying the emergence and evolution of autocatalytic sets. Here, we present several new and additional results on RAF sets. In particular, we investigate in more detail the existence, expected sizes, and composition of the smallest possible, or irreducible, RAF sets. Furthermore, we study a more realistic variant of the well-known binary polymer model in which the catalysis events are assigned according to a power law distribution. Together, these results provide further insights into the existence and structure of autocatalytic sets in simple models of chemical reaction systems, with possible implications for theories on the origin of life.

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Title: An investigation into irreducible autocatalytic sets and power law distributed catalysis
Authors: Wim Hordijk
Leonard Hasenclever
Jie Gao
Dilyana Mincheva
Jotun Hein
Publication date: 01-09-2014
Publisher: Springer Netherlands
Published in: Natural Computing / Issue 3/2014
Print ISSN: 1567-7818
Electronic ISSN: 1572-9796
DOI: https://doi.org/10.1007/s11047-014-9429-6

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