A robust transition to homochirality in complex chemical reaction networks
arXiv:2107.14634 · doi:10.1098/rspa.2021.0590
Abstract
Homochirality, i.e. the dominance across all living matter of one enantiomer over the other among chiral molecules, is thought to be a key step in the emergence of life. Building on ideas put forward by Frank and many others, we proposed recently one such mechanism in G. Laurent et al., PNAS (2021) based on the properties of large out of equilibrium chemical networks. We showed that in such networks, a phase transition towards an homochiral state is likely to occur as the number of chiral species in the system becomes large or as the amount of free energy injected into the system increases. This paper aims at clarifying some important points in that scenario, not covered by our previous work. We first analyze the various conventions used to measure chirality, introduce the notion of chiral symmetry of a network, and study its implications regarding the relative chiral signs adopted by different groups of molecules. We then propose a generalization of Frank's model for large chemical networks, which we characterize completely using methods of random matrices. This analysis can be extended to sparse networks, which shows that the emergence of homochirality is a robust transition.
References in corpus (12)
- Stability Criteria for Complex Ecosystems
- Total Chiral Symmetry Breaking during Crystallization: Who needs a "Mother Crystal"?
- Collective evolution and the genetic code
- Molecular Chirality and Chiral Parameters
- Autocatalyses
- May's Instability in Large Economies
- The Chiral Puzzle of Life
- Emergence of homochirality in large molecular systems
- Chirality Selection in Crystallization
- An Extended Model for the Evolution of Prebiotic Homochirality: A Bottom-Up Approach to the Origin of Life
- Reaction kinetics in open reactors and serial transfers between closed reactors
- Homochirality: a prerequisite or consequence of life?