# Experimental approaches to enquire the mathematical structure of the genetic code

## Alberto Danielli

### FaBiT - Department of Pharmacy & BioTechnology

Alma Mater Studiorum - University of Bologna, Italy

The degeneracy distribution of the genetic code has been addressed by a
theorical model based on non-power representation of integer numbers. The
mathematical properties of this model led to the definition of dichotomic
classes, i.e. non-linear functions of the information of two adjacent bases,
that proved to be intimately linked with the chemical properties of the codon
bases, as well as with the duality of Rumer's codon classes. Although
theoretically derived, dichotomic classes permitted to build statistical
classifiers able to retrieve the correct translational frame of coding
sequences, pointing at a tentative biological significance. Here, we will
discuss possible experimental approaches to verify the biological relevance of
dichotomic classes in translation. Finally, the construction of a reporter
system will be presented, capable to measure the translational efficiency of
di-codons nesting different dichotomic class combinations.