title: Complex dynamics in a cross-catalytic self-replication mechanism.
abstract: The authors consider a minimal cross-catalytic self-replicating system of only two cross-catalytic templates that mimics the R3C ligase ribozyme system of Dong-Eu and Joyce [Chem. Biol. 11, 1505 (2004)]. This system displays considerably more complex dynamics than its self-replicating counterpart. In particular, the authors discuss the Poincare-Andronov-Hopf bifurcation, canard transitions, excitability, and hysteresis that yield birhythmicity between simple and complex oscillations.
authors.affiliation: Department of Chemistry, Williams College, Williamstown, Massachusetts 01267, USA.
authors.forename: Kathleen M
authors.initials: KM
authors.lastname: Beutel
authors.forename: Enrique
authors.initials: E
authors.lastname: Peacock-López
mesh_terms: D002384:Catalysis; D008954:Models, Biological; D011118:Polynucleotide Ligases / Q000737:chemistry* / Q000502:physiology*; D016337:RNA, Catalytic / Q000737:chemistry* / Q000502:physiology*
chemical_list: D016337:RNA, Catalytic; D011118:Polynucleotide Ligases; C467725:R3C ligase