Understanding of Genetic Code Degeneracy and New Way of Classifying of Protein Family: A Mathematical Approach

The genetic code is the set of rules by which information encoded in genetic material (DNA or RNA sequences) is translated into proteins (amino acid sequences) by living cells. The code maps a tri-nucleotide sequence, called codons, into corresponding amino acids. Since there are 2 0 amino acids and 6 4 possible tri-nucleotide sequences, more than one among these 6 4 triplets can code for a single amino acid which incorporates the problem of degeneracy. This manuscript explains the underlying logic of degeneracy of genetic code based on a mathematical point of view using a parameter named Impression. Classification of protein family is also a long standing problem in the field of Bio-chemistry and Genomics. Proteins belonging to a particular class have some similar bio-chemical properties which are of utmost importance for new drug design. Using the same parameter Impression and using graph theoretic properties we have also devised a new way of classifying a protein family.