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Molecular Diversity Required for the Formation of Autocatalytic Sets

1
SmartAnalytiX.com, Lausanne, Switzerland
2
Biomathematics Research Centre, University of Canterbury, Christchurch 8140, New Zealand
3
Institute for Systems Biology, Seattle, WA 98109, USA
*
Author to whom correspondence should be addressed.
Received: 11 February 2019 / Revised: 21 February 2019 / Accepted: 26 February 2019 / Published: 1 March 2019
(This article belongs to the Special Issue Modelling Life-Like Behavior in Systems Chemistry)
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Abstract

Systems chemistry deals with the design and study of complex chemical systems. However, such systems are often difficult to investigate experimentally. We provide an example of how theoretical and simulation-based studies can provide useful insights into the properties and dynamics of complex chemical systems, in particular of autocatalytic sets. We investigate the issue of the required molecular diversity for autocatalytic sets to exist in random polymer libraries. Given a fixed probability that an arbitrary polymer catalyzes the formation of other polymers, we calculate this required molecular diversity theoretically for two particular models of chemical reaction systems, and then verify these calculations by computer simulations. We also argue that these results could be relevant to an origin of life scenario proposed recently by Damer and Deamer. View Full-Text
Keywords: autocatalytic sets; systems chemistry; random graphs; origin of life autocatalytic sets; systems chemistry; random graphs; origin of life
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Hordijk, W.; Steel, M.; Kauffman, S.A. Molecular Diversity Required for the Formation of Autocatalytic Sets. Life 2019, 9, 23.

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