Heat flow in female breast. Temperature distribution in semi spherical shaped human breast with and without abnormalities

Doctoral Thesis / Dissertation from the year 2013 in the subject Mathematics - Applied Mathematics, grade: 9, , language: English, abstract: This thesis is divided in the following order. The first, two chapters respectively deal with the physiological and mathematical background necessary for the study of heat flow in female breast. Chapter-3 is devoted to analytical and numerical solutions to study temperature distribution in spherical organs of a human body for a one dimensional steady state case. Chapter-4 and 5 deals with two dimensional finite element models to study temperature distribution in semi spherical shaped human breast with and without abnormalities like tumor. The development of quantitative methods and computer technology has facilitated the formation of new models in medical and biological sciences. Further, the application of mathematical methods in solving many real world problems of medicine and biology has yielded fruitful results. Despite advancements in instrumentations technology and biomedical equipments, it is not always possible to perform experiments in medicine and biology due to various reasons. Thus mathematical modeling and simulation is viewed as an viable alternative in such situations. The problems of biology and medicine pose new challenges for modeling and simulation. Attempts are in progress world wide for mathematical modeling of control systems of human body as these systems are highly sophisticated systems and poorly understood. The temperature regulation system of a human body is one of the important control systems involved is maintaining structure and function of human body organs. The study of temperature regulation system of human body organs is quite interesting both from application and mathematical point of view. The modeling of these problems poses new challenges for mathematics. In view of above the theoretical study entitled Computational Models To Study Temperature Distribution In Extended Spherical And Ellipsoidal Shaped Human Organs has been taken up.