MyoBro: A Compartmental Mathematical Model for Dynamic Estimation of Muscle Protein Synthesis and Insulin Transients

This technical report presents the scientific and analytical foundations of MyoBro, a computational model and dynamic simulator of human metabolism designed to move beyond static caloric accounting. The algorithmic engine utilizes Bateman Kinetics and Michaelis-Menten saturation to estimate the time course of Muscle Protein Synthesis (MPS) and the anabolic threshold ("Muscle Full Effect"). Furthermore, the system calculates insulin transients by accounting for metabolic overlap, the insulinogenic index of specific amino acids, and dynamic gastric emptying (Tau factor) modulated by lipids and dietary fiber. The model uniquely integrates the physiological impact of physical exercise—specifically transient gastrointestinal ischemia and post-workout receptor sensitization—and predicts reactive hypoglycemia to optimize nutrient timing. Finally, the document outlines the system's "Security by Design" architecture and data protection protocols for GDPR compliance.