The main features of the Blackmond/Brown dimer-active kinetic model and its later refinements describing the Soai reaction may be summarized as : 1) the system is driven to form dimer or tetramer species; 2) homochiral dimers/tetramers are active as autocatalysts; 3) heterochiral dimers/tetramers serve as inactive reservoirs; 4) for pyrimidyl substrate R = CH3, formation of dimers and tetramers is stochastic: that is, there is equal preference for R and S in construction of higher order species; 5) for bulkier R-groups, inactive heterochiral species exhibit higher stability than active homochiral species, leading to more efficient asymmetric amplification.