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Hemodynamics

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This dissertation by Arpan Ghosh focuses on the mathematical modeling of fluid flow through thin, curved pipes, with particular application to hemodynamics, the study of blood flow in the circulatory system. The work aims to develop simplified models that can aid medical practitioners in diagnosing abnormalities in blood flow. It is composed of four articles, each addressing different aspects of the modeling process. The first article presents a model for the elastic behavior of the pipe walls, considering their laminate structure and interaction with surrounding materials. The second article models blood flow through moderately curved and elastic blood vessels using linearized Navier-Stokes equations. The third article derives a simplified model for a false aneurysm, while the final article discusses a modified Reynolds equation for fluid flow through narrow, curvilinear tubes. The thesis is intended for researchers and practitioners in mathematics and applied sciences, particularly those interested in fluid dynamics and biomedical engineering.

Hemodynamics. --- Blood flow. --- Hemodynamics --- Blood flow

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Circulus Willisi. --- Hemodynamics.

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Angl.-franç.

HEMODYNAMICS --- Splanchnic Circulation

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This book examines both the fluid and cellular components of blood. After the introductory section, the second section presents updates on various topics in hemodynamics. Chapters in this section discuss anemia, 4D flow MRI in cardiology, cardiovascular complications of robot-assisted laparoscopic pelvic surgery, altered perfusion in multiple sclerosis, and hemodynamic laminar shear stress in oxidative homeostasis. The third section focuses on thalassemia with chapters on diagnosis and screening for thalassemia, high blood pressure in beta-thalassemia, and hepatitis C infection in thalassemia patients.

Hemodynamics. --- Blood flow.