Mathematical Modeling of Mechanical Forces and Chemical Reaction Dynamics for Restoring Shape Memory in Sickle-Cell Red Blood Cells

Sickle cell disease (SCD) is a genetic disorder that causes red blood cells (RBCs) to deform into a sickle shape, leading to vaso-occlusion and impaired blood flow. This study develops a mathematical model to investigate the mechanical forces and chemical reactions involved in restoring the shape memory of sickled RBCs. We examined the effects of various forces and chemical compositions on RBC morphology, elasticity, and functionality. Our results demonstrated that optimal chemical reactions and mechanical forces can significantly restore the shape memory of sickled RBCs and improve their oxygen-carrying capacity. Specifically, increased chemical reactions generate stretching forces that enhance RBC elasticity, reduce stickiness, and facilitate shape recovery. Additionally, mechanical forces help dismantle abnormal hemoglobin structures, aiding in the restoration of normal RBC morphology. The presence of normal hemoglobin in heterozygous individuals also contributes to reduced sickling and improved RBC function. These findings provide critical insights into potential therapeutic strategies for alleviating the symptoms of sickle cell disease and enhancing patient outcomes.