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We investigate the issue of the required molecular diversity for autocatalytic sets to exist in random polymer libraries. Given a fixed probability that an arbitrary polymer catalyzes the formation of other polymers, we calculate this required molecular diversity theoretically for two particular models of chemical reaction systems, and then verify these calculations by computer simulations.

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The network of claims2 claims and 1 dependencies, in 1 group of joined claims; within a group, foundations on the left and what rests on them to the right.2 claims, 1 step deep, Physics and AstronomyWe investigate the issue of the required molecular diversity for autocatalytic sets to exist in random polymer librarie… extends Because, as M increases, the ratio of reactions among the possible polypeptides to polypeptides rises rapidly, the exis… (identified in the literature)Because, as M increases, the ratio of reactions among the possible polypeptides to polypeptides rises rapidly, the exis…: supported, credence 0.71, stakes 10.6, reliance 1.0Because, as M…We investigate the issue of the required molecular diversity for autocatalytic sets to exist in random polymer librarie…: supported, credence 0.71, stakes 4.6We investigate the…

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ClaimStatusCheckableCredenceUseStakesRests on
Because, as M increases, the ratio of reactions among the possible polypeptides to polypeptides rises rapidly, the exis…✓ supportedyes0.71010.6—
We investigate the issue of the required molecular diversity for autocatalytic sets to exist in random polymer librarie…✓ supportedyes0.7104.6Because, as M increases, the ratio of reactions among the possible polypeptides to polypeptides rises rapidly, the exis…

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