| Sumario: | This work presents a mathematical modeling of the polymerization process of hemoglobin S (HbS), which is the primary pathophysiological event in Sickle Cell Anemia (SCA). The study employs differential equations to generalize existing models, considering both oxygenated and deoxygenated states of HbS. The model includes monomers, polymers, and domains of HbS and introduces the Quasi-normal Combined Form to enhance the analytical theory of differential equations. The research applies Floquet theory and Magnus expansion to reduce computational effort and provides morphological insights into polymer formation. This work aims to offer clinical estimates of the basal state of individuals, potentially aiding in the evaluation of treatments at the molecular level. The intended audience includes researchers and professionals in mathematical modeling and biomedical sciences.
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