Abstract

The mathematical model of sequence to structure maps via random graph theory allows to study catalytic reaction networks on the level of RNA secondary structures in a realistic framework. Neutral nets with respect to secondary structures come close in sequence space and exhibit a topology that induces a diffusing populations. Transitions between these neutral nets of equal fitness have been observed. Further studies indicate that there is a strong evidence that these transition-phenomena also occur in more complex landscapes. By designing autocatalytic reaction networks as multi-layer dynamics we have two levels of dynamical systems: • Level of Phenotypes • Level of Genotypes

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