Periodic correlations in DNA sequences and evidence suggesting their evolutionary origin in a comma-less genetic code

Strong rhythms with a period of three bases have been seen while correlating the relative positions of purines and pyrimidines and of the four individual bases in the complete DNA sequence of the viruses phi X174, G4 and fd. Generally weaker variations of the same type have been found in the DNA virus SV40, the plasmid pBR322, the RNA virus MS2, and elsewhere in procaryotes and eucaryotes (e.g. in a ribosomal protein gene cluster of E. coli and the sea urchin histone genes). From the interrelation of four-base with purine-pyrimidine rhythms it seems that the purine-pyrimidine relationships have a basic significance. An explanation is proposed in terms of the former use of a comma-less genetic code (i.e. readable only in one frame) of the general form RNY (R = purine, Y = pyrimidine and N = purine or pyrimidine). In spite of subsequent mutation, there appears to be still enough of the primitive messages remaining to produce these periodic variations with their characteristic properties in phase and amplitude. Particularly good evidence for this hypothesis is provided by the fact that the phases for the stronger rhythms are the same in all the genomes tested and can be successfully predicted by a simple consideration of the original RNY pattern. With regard to amplitude it can be similarly foreseen which variations will be more clearly marked than others. The observed behaviour of the amplitude as the separation between correlated bases increases is also explained by the insertions, deletions and point mutations which have occurred. Additionally it is possible to account for some notable features of the non-random use of codons for the same amino acid by this theory.