Autocatalytic networks in biology: structural theory and algorithms. Issue 151 (28th February 2019)

• Record Type: Journal Article
• Authors: Steel, Mike; Hordijk, Wim; Xavier, Joana C.
• Is Part Of: Journal of the Royal Society interface. Volume 16:Issue 151(2019)
• Publication Date: 2019-02-28
• Subjects: catalytic reaction system -- autocatalytic network -- strongly connected components -- reaction rates; Physical sciences -- Research -- Periodicals; Life sciences -- Research -- Periodicals; Interdisciplinary research -- Periodicals; 570.5
• DOI: 10.1098/rsif.2018.0808
• Languages: English
• ISSNs: 1742-5689

Abstract

Abstract : Self-sustaining autocatalytic networks play a central role in living systems, from metabolism at the origin of life, simple RNA networks and the modern cell, to ecology and cognition. A collectively autocatalytic network that can be sustained from an ambient food set is also referred to more formally as a 'reflexively autocatalytic food-generated' (RAF) set. In this paper, we first investigate a simplified setting for studying RAFs, which is nevertheless relevant to real biochemistry and which allows an exact mathematical analysis based on graph-theoretic concepts. This, in turn, allows for the development of efficient (polynomial-time) algorithms for questions that are computationally intractable (NP-hard) in the general RAF setting. We then show how this simplified setting for RAF systems leads naturally to a more general notion of RAFs that are 'generative' (they can be built up from simpler RAFs) and for which efficient algorithms carry over to this more general setting. Finally, we show how classical RAF theory can be extended to deal with ensembles of catalysts as well as the assignment of rates to reactions according to which catalysts (or combinations of catalysts) are available.