癌基因密码子间的距离和Y-内积表示及其应用

Application of oncogene using distance and Y-inner product between codons

为了深入研究正常基因变为癌基因时,氨基酸亲疏水性的变化趋势,在已经建立的代数结构的基础上给出了全新的距离及Y-内积的定义,通过计算得出GF(7)上36个本原多项式及其根,并得出了对应的生物意义的表示,利用所建立的理论数学模型分析了在胃癌,食道癌,肺癌以及B细胞淋巴癌中的p53错义突变过程中氨基酸亲疏水性的变化.结果表明:当正常的基因变为癌基因且密码子的第2位碱基发生变化时,密码子间的距离不小于1;特别是当第2位碱基由A变为G,C时,其Y-内积的值为负值;由T变为G,C,A时,Y-内积的值则大于4.

In order to study the relationship between the second-position base and hydrophobicity when the normal genes become oncogenes,the distance and Y-inner product between codons of oncogene were defined according to the algebraic structure.On GF（7）,36 primitive polynomials and their roots were calculated to represent the corresponding biological significance.Based on above definitions,the hydrophobicity change of amino acids for several types of cancers relating to p53 gene were discussed.The results show that the distance between two codons is not smaller than 1 when normal genes become oncogenes and the second-positions of codons mutates.When the second-position base of A mutates to G or C,the Y-inner product is negative,while the Y-inner product is larger than 4 when T mutates to G,C or A.