Recently, much research has indicated that more and more cancers pose a threat to human life. Cancers are caused by oncogenes. Many human oncogenes have been found and most of them are located on chromosomes. The disc...Recently, much research has indicated that more and more cancers pose a threat to human life. Cancers are caused by oncogenes. Many human oncogenes have been found and most of them are located on chromosomes. The discovery of the oncogene plays a significant role in the treatment of cancer. The p53 tumor suppressor gene has received much attention because it frequently mutates or deletes in tumor cells of most people. Thus, the study of oncogenes is significant. In order to establish the Galois field （GF（7））, the indefinite gene is introduced as D and oncogene is introduced as O, and P. Taking the polynomial coefficients a0, a1, a2 ∈ GF（7） and the bijective function f： GF（7） → {D, A, C, O, G, T, P}, where f（0） = D, f（1） = A, f（2） = C, f（3） = O, f（4） = G, f（5） = T, and f（6）= P, the bijective → may be written as φ（a0 ＋a1x ＋ a2x2）. Based on the algebraic structure, we can not only analyse the DNA sequence of oncogenes, but also predict possible new cancers.展开更多
基金Project supported in part by the Program for Innovative Research Team of Jiangnan University,China(Grant No.2008CX002)
文摘Recently, much research has indicated that more and more cancers pose a threat to human life. Cancers are caused by oncogenes. Many human oncogenes have been found and most of them are located on chromosomes. The discovery of the oncogene plays a significant role in the treatment of cancer. The p53 tumor suppressor gene has received much attention because it frequently mutates or deletes in tumor cells of most people. Thus, the study of oncogenes is significant. In order to establish the Galois field （GF（7））, the indefinite gene is introduced as D and oncogene is introduced as O, and P. Taking the polynomial coefficients a0, a1, a2 ∈ GF（7） and the bijective function f： GF（7） → {D, A, C, O, G, T, P}, where f（0） = D, f（1） = A, f（2） = C, f（3） = O, f（4） = G, f（5） = T, and f（6）= P, the bijective → may be written as φ（a0 ＋a1x ＋ a2x2）. Based on the algebraic structure, we can not only analyse the DNA sequence of oncogenes, but also predict possible new cancers.
