Two-phase Blood Flow During Some Disease: Mathematical Modeling

Mathematical study of Two-Phase blood flow in the field of Bio-mathematics is a burning research area. This book has five chapters. Each chapter deals with an application of Two-Phase blood flow model. For the modelling purpose blood has been considered as a homogeneous mixture of two-phases: first phase is blood cells (RBCs) and another is that of plasma. RBCs are packed in a semipermeable membrane. It help them to change their shape and size. Hence both phases shows liquid nature. Usually, blood behaves like non-Newtonian fluid due to high concentration of RBC (Except large diameter blood vessels). Mathematical formulation of the Fahraeus-Lindqvist effect for the capillary blood flow has been given in the first chapter. Mathematical study and simulation on stenosed carotid arteries with the help of two-phase blood flow model discussed in the second chapter. Fluctuation in blood flow for a person suffering from this disease with the help of hemoglobin and blood pressure is also given. Third chapter deals with the mathematical modelling in two-phase arterial blood flow during major beta thalassemia. Fourth and fifth chapters both are based on two-phase blood flow through arterioles in case of major beta thalassemia. Fluctuation in blood flow during the disease has been shown in both the chapter. This study is useful in the diagnosis of all discussed disease.