Natural Computing

, Volume 13, Issue 3, pp 287–296

An investigation into irreducible autocatalytic sets and power law distributed catalysis

  • Wim Hordijk
  • Leonard Hasenclever
  • Jie Gao
  • Dilyana Mincheva
  • Jotun Hein
Article

DOI: 10.1007/s11047-014-9429-6

Cite this article as:
Hordijk, W., Hasenclever, L., Gao, J. et al. Nat Comput (2014) 13: 287. doi:10.1007/s11047-014-9429-6

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.

Keywords

Origin of life Autocatalytic sets Power-law distribution 

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Wim Hordijk
    • 1
  • Leonard Hasenclever
    • 2
  • Jie Gao
    • 3
  • Dilyana Mincheva
    • 4
  • Jotun Hein
    • 4
  1. 1.SmartAnalytiX.comLausanneSwitzerland
  2. 2.University of CambridgeCambridgeUK
  3. 3.University of North Carolina at Chapel HillChapel HillUSA
  4. 4.University of OxfordOxfordUK

Personalised recommendations