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Analysis Study Research Paper | Applied Sciences | India | Volume 13 Issue 6, June 2024 | Rating: 5.4 / 10
Deciphering Sickle Cell Dynamics: A Mathematical Modeling and Comparative Analysis Approach
Ashik Babu Parambath
Abstract: Sickle cell disease (SCD) arises from a genetic mutation that changes a specific protein in red blood cells. This study explores the intricacies of SCD through the use of mathematical modeling and comparative analysis. By combining concepts from mathematics, biology, and computational science, we aim to decode the mechanisms driving this disease. Our mathematical framework assesses fluid flow dynamics in the context of SCD, taking into account the altered geometry of deformed red blood cells near the arterial walls. In our model, we simulate blood flow in a cylindrical, capillary-like duct to represent the passage of a single sickle cell interacting with the endothelial wall and the surrounding plasma. This approach allows us to observe how these deformed cells affect the flow of blood under various conditions, including the polymerization of hemoglobin and the dynamics of oxygen transport. The results reveal that as the axial velocity increases, so does the pressure within the vessel. We also found that regions of low viscosity are associated with lower pressure and velocity, while areas with higher viscosity exhibit increased pressure and velocity. Moreover, our comparative analysis of mathematical models and experimental data provides deeper insights into the pathophysiology of SCD and potential therapeutic approaches. This study not only enhances our understanding of the fluid dynamics involved in SCD but also suggests avenues for improved treatment strategies.
Keywords: Fluid flow, sickle cell disease, mathematical modeling, comparative analysis, viscosity, pressure, velocity, endothelial wall, red blood cells, capillary, porous tube wall
Edition: Volume 13 Issue 6, June 2024,
Pages: 1581 - 1587