Cirhosis image analysis:granlometry and bob vs fractal hepatic model and simulation

Abstract

Abstract Firstly, this thesis was covered image analysis by granulometry mathematical morphology functions, blob analysis to achieve the best geometrical alterations for vessels from images, the fractal analysis on rat liver vessels to categorize and determine the complicity for the vessels structures during normal and pathological morphogenesis, the three image analysis methods outcomes visualized in purpose of preceding algorithms of image analysis to take advantage of, in clinical investigations in different medical imaging modalities. The image analysis results were tested by different statistical analysis, one major common statistical analysis where performed is probability density function theory (PDF), kernel smoothing density estimate (KSD or KSE) and multivariable analysis Anova into two ways. The statistical analysis determine the dissimilarity alterations on the micro-vessels during experimental induced cirrhosis by Bile Duct Ligations (BDL) and CCI4 techniques performed on rat liver vessels, the investigations improve understanding micro vessels morphology and morphogenesis from vascular corrosion cast for the duration of cirrhosis stages. This study introduced ratio of surface area (SA) divided over first derivative surface area (FDSA) for the vessels, this ratio (SA/FDSA) introduced from granulometry mathematical morphology exposed to measure and determine the alterations in vessels, this ratio solidified by statistical analysis. Secondly, the thesis was studied and displayed the modeling and simulations of liver lobules by fractal geometry, the modeling and simulations included lobules physiology and morphology, the major purpose was to create flow model with its simulation including streams of the fluids contained within lobules of the liver, the minor purpose was to model oxygen distributions imier parts of the lobules. Nonetheless, the results of modeling and simulation, where the model was produced from Mandelbrot set and Airy function algorithms system, though the model type was steady state model to study variations of pressure and forces components in stream of the flowing. The algorithm of Mandelbrot-Airy function empowered by partial differential equations to investigate and determined the field of flow streams, the algorithm realize facts about laminar and turbulence flow in liver lobules. This model of Mandelbrot set and Airy function contains the partial differential equation functions is widely opened the numerous avenues and corridors to new types of a wonderful simulations in fractal geometry. It’s the thrill discovery of new spectacular fractals, as forward looking as far more luckily Mandelbrot-Airy algorithm boundless opened a huge branch for new kind of modem smart modeling with impressive simulations for the biological systems and organs inside the human body. Also, with greatly and fully confidences the turbulence flow model and simulations in biological and non-biological systems for example, jet flow, was solved.