Detection of Monogenic Disorders Using Fuzzy Fractal Analysis with Grids and Triangular Dimension

Abstract

Single abnormal gene structure of disorders, specifically the alpha (α) and beta (β) thalassemia recessive disorders are focused. From the NCBI website, the preferred DNA sequencing is downloaded. The objective is to study the structure of Single Abnormal Gene using modified Box counting principle and FFD-Fuzzy Fractal Dimension analysis. Initially the fractal dimension method is used and analyzed single abnormal gene structure with the help of box counting method where the grids are segmented into triangles. Further the analysis is enhanced through grid and triangular method of improved box counting methods named as Ruby Triangular dimension which is the novelty of the research. Comparison of Grid Dimension with Triangular Dimension based fractal and fuzzy fractal dimension in the severity of disease from its secondary structure of the disorder related genes structures are performed. Further the complexity of the Single Abnormal Gene structure evaluated to generate a unique Attractor for the prediction of the α-thalassemia and β-thalassemia disorder in earlier diagnosis, refer as bifurcation theory. The results shows that the triangular Ruby Dimension based improved box counting method facilitate quick with more exactitude. In grid method the size of the image should be 2ⁿ pixels and shrink to at most 2048 pixels, whereas the triangular pixels may be reduced to 2³ times than grid method. Hence, this novel Fuzzy Fractal Ruby Triangular Dimension method shows better results and can be applied for image of higher dimensions with the same procedure.