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Self-replicating sequences of binary numbers. Foundations I: General

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Abstract

We propose the general framework of a new algorithm, derived from the interactions of chains of RNA, which is capable of self-organization. It considers sequences of binary numbers (strings) and their interaction with each other. Analogous to RNA systems, a folding of sequences is introduced to generate alternative two-dimensional forms of the binary sequences. The two-dimensional forms of strings can naturally interact with one-dimensional forms and generate new sequences. These new sequences compete with the original strings due to selection pressure. Populations of initially random strings develop in a stochastic reaction system, following the reaction channels between string types. In particular, replicating and self-replicating string types can be observed in such systems.

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Dedicated to Professor Hermann Haken on the occasion of this 65th birthday

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Banzhaf, W. Self-replicating sequences of binary numbers. Foundations I: General. Biol. Cybern. 69, 269–274 (1993). https://doi.org/10.1007/BF00203123

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  • DOI: https://doi.org/10.1007/BF00203123

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