The influence of the residence time on the dynamics of catalytic reaction networks

Although autocatalytic networks are common in nature, it is very difficultto reproduce them in laboratory. Since there are several models in literaturedescribing a phase transition to an autocatalytic set once that a certain degree ofheterogeneity in the composition of the system is reached, it is interesting to understandwhy it is so difficult to observe such a phenomenon in the laboratory. Forthis reason, we here present a model designed for the study of that systems takinginto account the stochastic nature of the dynamics of interacting molecules. In particular,the analysis is focused on the emergence of autocatalytic sets in accordancewith different residence times and influx compositions