Abstract
In order to study the p53 mutations in head and neck cancer, we explored therelationship between the different positions of the bases and the amino acids’ physical and chemical properties. In this paper, the Euclidean distance (d) was defined. Furthermore, by using improved variation coefficient method, the Euclidean named asweighted Euclidean distance (d*) was weighted, and then the p53 oncogene mutations in head and neck cancer was analyzed by using d and d*. The method based on the d* can judge which position of the bases had changed more obviously.When d* was more than 1.5, the second base, as well as the physical and chemical properties of amino acids, changed. In contrast, when d* was less than 1.2, the first or the third base changed, but the physical and chemical properties of amino acids were not changed. The results therefore show that the second base has the greatest influence on amino acids, the first has smaller influence, and the third has less impact on the physical and chemical properties of amino acids. Key words: Weighted Euclidean distance, head and neck cancer, p53, physical and chemical properties, amino acids.
Highlights
The p53 is a gene that codes for a protein that regulates the cell cycle and functions as a tumor suppressor
According to the weighted Euclidean distance (Smith, 2000), the Euclidean distance was weighted by using improved variation coefficient method (Wu, 2002)
The selected p53 gene mutations in head and neck cancer were analyzed by using d and d*
Summary
The p53 is a gene that codes for a protein that regulates the cell cycle and functions as a tumor suppressor. In order to establish the algebraic model, Sanchez et al (2005) proposed a new baseO' which expressed insertion or deletion basic group. They analyzed the genetic code rule, and conducted the gene mutation in a deep research. Sanchez et al (2006) proposed a novel Lie algebra of the genetic code over the Galois field of four DNA bases. According to Lie algebra of the genetic code over the Galois field of four DNA bases, they obtained the physicochemical property and biological information contained in DNA sequence
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