An Improved Mathematical Object for Graphical Representation of DNA Sequences

An improved mathematical object is presented for analyzing the similarity and dissimilarity of DNA sequences. The kernel of it is to employ the changes of the x-coordinates and y-coordinates of the points corresponding to the bases of DNA sequence in the method of graphical representation, respectively. Compared with the traditional methods based on the distances between points, a more detailed consideration on the measurement between points is made in this new method, so more information of DNA sequence is exploited. It can distinguish any form of symmetrical curves corresponding to DNA sequences, and this advantage can hardly be achieved by traditional methods. Furthermore, the contrast experiments show that this method increases the precision by about 50%.