Minimal Replicator Theory I: Parabolic Versus Exponential Growth

摘要: The paper describes an analytical treatment of artificial self-replicating systems. All systems known today are minimal replicators in the sense that their kinetic behavior can be rationalized by a common, reaction model which is outlined introduction. In second section, empirical rate equations introduced have proven useful for evaluation experimental concentration-time profiles. third section begins with discussion models been described earlier to explain autocatalytic synthesis template molecules. It followed model: A + B C⇌ABC→ C 2;⇌ 2C, where self-complementary molecule, and its precursor molecules, ABC termolecular complex, 2 duplex. assumed irreversible formation from limiting step total concentration small as compared precursors. expressions derived allow us estimate order synthetic elementary equilibria constants involved. Three limit growth laws systems—termed parabolic, weak exponential, strong exponential—can distinguished. following deals influence temperature. Strong exponential expected low temperatures, whereas should occur at high temperatures. Parabolic average Depending on activation energy well enthalpies 2, maximum occurs either temperature transition parabolic growth, or, results above then more realistic models. particular, it shown complex AB makes difficult observe otherwise might found