DNA, dichotomic classes and frame synchronization: a quasi-crystal framework

Abstract In this article, we show how a new mathematical model of the genetic code can be
exploited for investigating the almost periodic properties of DNA and mRNA protein-coding
sequences. We present the main mathematical features of the model and highlight its
connections with both number theory and group theory. The group theoretic framework
presents interesting analogies with the theory of crystals. Moreover, we exploit the
information provided by dichotomic classes, binary variables naturally derived from the ...