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. 2014 Dec 4;10(12):e1003936. doi: 10.1371/journal.pcbi.1003936

Figure 4. Factors affecting the rate of asymmetry between the minus and the plus strands.

Figure 4

(A) In cases when the strength of trade-off is high (Inline graphic), the asymmetry between the minus and plus strands is strong, however as the strength of trade-off decreases (Inline graphic), since in these cases molecules can achieve high metabolic activity without trading off their replication affinities, the asymmetry becomes less pronounced. (B) As the number of the initial number of molecules (Inline graphic) per vesicle is increased (Inline graphic) the rate of asymmetry gradually decreases (Inline graphic). (C) The effect of kinetic parameters for strong trade-off (blue lines: Inline graphic) and for weak trade-off (green lines: Inline graphic). Here we increased the inflow rate of source material from the environment into the vesicle (Inline graphic) (light blue and green lines: Inline graphic and Inline graphic; middle dark blue and green lines: Inline graphic and Inline graphic; dark blue and green lines: Inline graphic and Inline graphic). For low inflow rate and kinetic constants, high metabolic activities of minus strands evolve, which results in high rate of asymmetries between the two strands. However lowering the inflow rate or the kinetic rate of reactions beyond a threshold results in the extinction of replicators (notice the absence of equilibrium ratio of asymmetry, for example Inline graphic, Inline graphic and Inline graphic, i.e. left hand side of the light blue curve). The results are averaged over 5 replicate model runs, and over 1,000,000 molecular update steps after reaching equilibrium. Whiskered bars represent the standard errors of the replicate runs. Other parameters (if not stated otherwise): Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic, Inline graphic and Inline graphic.