Normalized Lempel-Ziv complexity and its application in bio-sequence analysis

In this article, we propose a new method to measure DNA similarity based on a normalized Lempel-Ziv complexity scheme. The new method can weaken the effect of sequence length on complexity measurement and save computation time. Firstly, a DNA sequence is transformed into three (0,1)-sequences based on a scheme, which considers “A” and “non-A” , “G” and “non-G”, “C” and “non-C” bases respectively. Then, the normalized Lempel-Ziv complexity of the three (0,1)-sequences constitute a 3D vector. Finally, by the 3D vector, one may characterize DNA sequences and compute similarity matrix for them. The examination of similarities of two sets of DNA sequences illustrates the utility of the method in local and global similarity analysis.