The Research and Application of the P53 Tumor Suppressor Gene Based on the H*-distance
To get more insight into the p53 tumor suppressor gene,firstly,the additive and multiplicative operation based on extended base C ={D,A,C,O,G,T,P}were given respectively.And with the codons set C3 ={XYZ},the Hamming distance dH was defined.Then the H*-distance was proposed by weighting and improving the Hamming distance.Furthermore,more cross products among these codons and the H*inner products were also defined.Besides,the H*-distance and the H*-inner product between DNA sequences were gained.Then several human cancers related to p53 tumor suppressor gene were chosen and analyzed by there algebraic structure.The following results had been obtained:When the range ofdH was 1 to 3,we found it no big differences for any mutational position.However,dH* and <X1Y1Z1,X2Y2Z2> were sensitive to the mutational position.For dH*,when the first base mutated,0.75 ≥ dH* ≥ 0.25; When the second base mutated,3 ≥ dH* ≥ 1; When the third base mutated,0.08 ≤ dH* ≤ 0.25;For <X1Y1Z1,X2Y2Z2>,when the first base or the third base mutated,all of them were greater than 0.In particular,when the second mutated,-2 ≤ <X1Y1Z1,X2Y2Z2> ≤ 4,but 65.22% of them were less than or equal to 0,and the physiochemical properties of amino acids were changed.Through above analysis,we knew that the H*-distance and the H*-inner product was more useful to the study on the properties of amino acids compared to the Hamming distance.Furthermore,we could say that when the <X1Y1Z1,X2Y2Z2> was less than or equal to 0,the second base mutated.These results were not only important to further study on the amino acids occurring mutation in encoding codons,but also could be as some guidances for the preventing and controlling of human tumor.