Physicochemical basis of the universal genetic codes--quantitative analysis.

Quantitative mathematic models have been developed to correlate the fragment hydrophobicity contribution constants (faa) of 20 amino acids with the physicochemical properties (mu, Hb, and square root of MW) of the four bases (U, A, C, G) of the codons, or those of the anticodons. Using the general equation faa = a mu 1 + b mu 2 + c mu 3 + d square root of MW1 + e square root of MW2 + f square root of MW3 + g Hb1 + h Hb2 + i Hb3 + j, where 1, 2, 3 refer to the first, the second and the third base respectively, correlation coefficient of about 0.82 can be obtained for all 20 amino acids coded by 61 different triplet codes. These correlations are statistically highly significant, even though they do not take into account the involvement of various factors and peptidyl transferases. Furthermore, the reasons for the three stop codons are revealed. The graphic presentation of the codons and the amino acids coded separates the acidic and the basic, the aromatic and the heterocyclic amino acids into different quadrants of an octagon. This is in agreement with the ancient Chinese Ying-Yang theory embedded in the classical I-Ching.