Table 1.
Molecule populations Ni(t) for the self-replicating chemical reaction system Eq (3) at generation t.
Fig 1.
Normalised molecule population ni(t) = Ni(t)/∑l Nl(t) for 60 generations for the chemically realistic self-replicating reaction system Eq (3).
Specifically, limt→∞ n1(t) = 0.38196…, limt→∞ n2(t) = limt→∞ n5(t) = 0.23606… and limt→∞ n3(t) = 0.14589…
Fig 2.
Distribution of the characteristic numbers Λ for all the analysable self-replicating chemical reaction systems up to where the possibly largest molecule is .
The blue lines correspond to all integer self-replicating systems, while the red bars correspond to all other systems.
Table 2.
Molecule populations Ni(t) for the self-replicating chemical reaction system Eq (12) at generation t.
Fig 3.
The mass action population dynamics of system Eq (3) in a physical scenario.
(a) Solutions of Eq (15) in log-normal scale, i.e., x-axis is in normal scale and y-axis is in logarithmic scale. (b) The normalised molecule populations for the same period as in (a).
Fig 4.
The mass action population dynamics of system Eq (16) in a physical scenario.
(a) Solutions of its corresponding ODEs in log-normal scale. Note that populations of molecule ,
and
are always the same. (b) The normalised molecule populations for the same period as in (a).