title: Autocatalytic sets in a partitioned biochemical network.
abstract: BACKGROUND
  In previous work, RAF theory has been developed as a tool for making theoretical progress on the origin of life question, providing insight into the structure and occurrence of self-sustaining and collectively autocatalytic sets within catalytic polymer networks. We present here an extension in which there are two "independent" polymer sets, where catalysis occurs within and between the sets, but there are no reactions combining polymers from both sets. Such an extension reflects the interaction between nucleic acids and peptides observed in modern cells and proposed forms of early life.
  
  
  RESULTS
  We present theoretical work and simulations which suggest that the occurrence of autocatalytic sets is robust to the partitioned structure of the network. We also show that autocatalytic sets remain likely even when the molecules in the system are not polymers, and a low level of inhibition is present. Finally, we present a kinetic extension which assigns a rate to each reaction in the system, and show that identifying autocatalytic sets within such a system is an NP-complete problem.
  
  
  CONCLUSIONS
  Recent experimental work has challenged the necessity of an RNA world by suggesting that peptide-nucleic acid interactions occurred early in chemical evolution. The present work indicates that such a peptide-RNA world could support the spontaneous development of autocatalytic sets and is thus a feasible alternative worthy of investigation.
authors.affiliation: Biomathematics Research Centre, Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand.
authors.forename: Joshua I
authors.initials: JI
authors.lastname: Smith
authors.affiliation: Biomathematics Research Centre, Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand.
authors.forename: Mike
authors.initials: M
authors.lastname: Steel
authors.affiliation: SmartAnalytiX.com, Lausanne, Switzerland.
authors.forename: Wim
authors.initials: W
authors.lastname: Hordijk
keywords: Autocatalysis; Origin of life; Peptide-RNA world