Impact of Nutrient-Stimulated Hormone (NUSH) Dynamics on Body Weight

Abstract

Abstract Introduction: Nutrient-stimulated hormones (NUSH) play a critical role in regulating energy metabolism. Dysregulation of NUSH signaling is associated with obesity, there is a lack of quantitative models to investigate the complex dynamics of NUSH signaling and its impact on obesity development. Objective: To explore the relationship between NUSH and body weight using mathematical modeling. Methods: Data on elevated body weight were collected from meta-analysis studies available on Pubmed, utilizing incretin-based therapies. A mathematical model was developed using software to integrate interactions between NUSH levels and changes in body weight. The model accurately captured the complex dynamics and feedback loops involved in obesity-related hormonal regulation, employing differential equations and statistical techniques. Parameter estimation was performed using meta-analysis results to minimize the discrepancy between model predictions and observed data. Results: This study included 15 meta-analysis studies on liraglutide, semaglutide, and tirzepatide for the treatment of obesity. A mathematical model was developed to understand NUSH dynamics in relation to obesity. The model deduced the formula: NUSH(t) = N0 * (1 - e^(-kt)) + I * [1 - e^(-βt)] / β, which considers NUSH levels over time, initial levels, decay rate, impact of nutrient intake on hormone secretion, and the rate at which the effect of nutrient intake reaches its maximum. Conclusion: Evaluating the association between NUSH and increased body weight through mathematical modeling can provide insights into the complex interactions between nutrient stimuli, hormonal responses, and obesity development.