A Mathematical Treatment Model and Analysis of Hypothyroidism using Levothyroxine

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G. Lavanya, Dr. D. Jasmine


Various models devoted to different facets of diseases, such as prevention, complications, cost-effectiveness measures, and so on, have been developed throughout the previous few decades. Hypothyroidism is caused by an underactive thyroid gland, which produces insufficient thyroid hormones to maintain a normal metabolic rate. Many physical functions, most notably metabolism, are slowed as a result of hypothyroidism. Patients with hypothyroidism are given synthetic thyroxine pills called Levothyroxine to take every day for the rest of their lives. The mathematical model for hypothyroidism therapy with LT4 was discussed in this study, which used a system of ordinary differential equations. The model includes four state variables: LT4 concentration, Thyroid-stimulating hormone (TSH) concentration,  functional size of the thyroid gland and TRAb concentration, with twelve parameters. It also analyses the stability of the mathematical model for hypothyroidism. Furthermore, the clinical chart is created based on TSH levels and time. The patient's data collection is used to validate the model description.

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