Comparison between linear evaluation and fractal geometry of the human and sheep heart

Introduction: The comparison between the anatomical heart sheep and the human heart in a straight line shows a high degree of similarity; the dimensions of the heart sheep closely resemble the human heart. Materials and Methods: All analyzes and photographs taken from the sheep heart and human heart were performed in the laboratory of human anatomy, department of health and biological sciences, State University of Ponta Grossa. The morphometric analysis included 8 specimens heart study material pertaining to the anatomy lab UEPG. The sheep hearts were obtained from slaughterhouse taking into account the relative weight next to the human, between 60 and 70kg. Measurements were taken with digital calipers. Results: Internally it is possible to observe the macroscopic similarity between the atrial ventricular chambers of the sheep heart and the human heart. In a non-linear analysis, it can be concluded that they are distinct in complexity, as the human heart shown largest value of fractal dimension in relation to the sheep heart. Conclusion: The comparative study suggests more comprehensive use of the sheep heart as a model for anatomical study, due to its proximity to the human heart, but denotes the differences in complexity between the organs through the use of fractal dimension.(AU)

Pattern self-repetition allied to complexity and adaptationof different anatomic structures of human body

The first appliances about Chaos Theory in the biological sciences, made by Robert May, turned visible thegrowth and appliance of this sciences in morphology or even in fisiology, when is stipulated the behaviorof very sensitive systems to different conditions, showing complex behavior. Behind this parameters, itwas stipulated a morphological study in microscopic and macroscopic scales for pathologic appliances andobtaining new parameters in the anatomy and histology field. We observed that the skin shows the greatestself-repetition pattern, being the largest organ in the human body. The circulatory system has its great blooddiffusion in function of a complex branched web of vases in a non-linear shape. It was observed a great fractalpatterns in the structure of the heart, and it’s frequency must be chaotic in function of the need of the humanbody and specific activities to avoid muscular hyperplasia. Bones and articulations denote dynamic interaction,what permit temporal adaptations such as the formation of the cranial bone sutures. The encephalic anatomy,specially the sulcus, got a self-repetition pattern. The following step was to stipulate these concepts in dynamicalprocess such as the cell differentiation.