caa a22 4500 477067530 CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF02459488 doi (NATIONALLICENCE)springer-10.1007/BF02459488 Autocatalytic networks with translation [Elektronische Daten] [Robert Happel, Robert Hecht, Peter Stadler] We consider the kinetics of an autocatalytic reaction network in which replication and catalytic actions are separated by a translation step. We find that the behaviour of such a system is closely related to second-order replicator equations, which describe the kinetics of autocatalytic reaction networks in which the replicators act also as catalysts. In fact, the qualitative dynamics seems to be described almost entirely be the second-order reaction rates of the replication step. For two species we recover the qualitative dynamics of the replicator equations. Larger networks show some deviations, however. A hypercyclic system consisting of three interacting species can converge toward a stable limit cycle in contrast to the replicator equation case. A singular perturbation analysis shows that the replication-translation system reduces to a second-order replicator equation if translation is fast. The influence of mutations on replication-translation networks is also very similar to the behavior of selection-mutation equations. Society for Mathematical Biology, 1996 Happel Robert Theoretische Biochemie, Institut für Theoretische Chemie, Universität Wien, Vienna, Austria aut Hecht Robert Theoretische Biochemie, Institut für Theoretische Chemie, Universität Wien, Vienna, Austria aut Stadler Peter Santa Fe Institute, 87501, Santa Fe, NM, U.S.A. aut Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 877-905 0092-8240 58:5<877 1996 58 11538 https://doi.org/10.1007/BF02459488 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459488 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Happel Robert Theoretische Biochemie, Institut für Theoretische Chemie, Universität Wien, Vienna, Austria aut NATIONALLICENCE 700 1- Hecht Robert Theoretische Biochemie, Institut für Theoretische Chemie, Universität Wien, Vienna, Austria aut NATIONALLICENCE 700 1- Stadler Peter Santa Fe Institute, 87501, Santa Fe, NM, U.S.A aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 877-905 0092-8240 58:5<877 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer