It is therefore highly surprising that a great majority of the randomly seeded assemblies in our catalytic network simulations reach a reproducing state within a small number (MR<1000) of chemical entry/exit steps (Figure ). Notably, assemblies that start at compositions close to a composome reach a reproducing steady state only ~X10 faster than distanced ones. A likely explanation for these findings is that a reproducing composome is a dynamic attractor in compositional space. Similar arguments have been put forward for the existence of compositional attractor states in biological systems, such as in the realms of signaling protein networks , cell differentiation (55) and transcriptome-governed metabolism .