A comparative study on structural proteins of viruses that belong to the identical family.

Recent studies have focused on the similarity between SARS   Cov -2 and various viruses from the Coronaviridae family (such as MERS   Cov ,  SARS   Cov and Bat   Cov   RaTG 13) to uncover the mystery of SARS   Cov -2. Specifically, some studies identified that the SARS   Cov -2 is closely related to Bat   Cov   RaTG 13 (a SARS -related coronavirus found in bats) rather than the other viruses in that family. These studies are mainly focusing on the biological techniques to show the similarity between the SARS   Cov -2 and other viruses. Examining proteins is not easy for common researchers unless for biologists. To rectify this flaw, we have to convert the protein to one of the known formats, which are easy to understand. Consequently, this study uses viral structural proteins to analyse the relationship between SARS   Cov -2 and the rest of the coronavirus with the help of mathematical and statistical parameters and explores the various graph representations of MERS   Cov ,  SARS   Cov ,  Bat   Cov   RaTG 13 and SARS   Cov -2 structural proteins, such as zig-zag curve, Protein Contact Map ( PCM ) and Chaos Game Representation ( CGR ). Though these graph interpretations are visually similar, a slight variation between the graphs reflects their structural and functional differences. Thus, we use an elegant parameter known as the fractal dimension to observe their minor changes. According to the nature of the graph, we employ different types of fractal dimensions, namely mass dimension and box dimension. Furthermore, we perform the similarity tests with normalized cross-correlation and cosine similarity to assess the comparability of the PCM and CGR graphs. The acquired C C n values are near the sequence identity between SARS   Cov -2 and MERS   Cov ,  SARS   Cov ,  Bat   Cov   RaTG 13.