Control Systems Theory Applied to Metabolic Homeostatic System, and the Derivation and Identification of Mathematical Models

The relations among organs and processes resulting in the hormonal control of human metabolism are interpreted mathematically for the derivation and analysis of models using control systems theory and systems engineering techniques. A dynamic nonlinear model for glucose homeostasis including four controlling hormones is derived from the current biological knowledge of the normal system and simulated for comparison with experimental data. Mathematical algorithms are developed and demonstrated for the identification of the parameters of the proposed model and a series of experiments is proposed to yield the minimal requisite data for the application of the method. Control systems analyses are undertaken on the proposed model to demonstrate a consistent methodology for investigations of complex metabolic control systems in the intact anima