chapter  9
22 Pages

Glucose Tolerance Tests Modeling

WithDhanjoo N. Ghista, Dittakavi Sarma

CONTENTS 9.1 Scope ........................................................................................................... 253 9.2 Intravenous Glucose Tolerance Test (IVGTT) ..................................... 254

9.2.1 Glucose Regulation Model .......................................................... 254 9.2.2 Clinical Support for Model Justification ................................... 254 9.2.3 BGCS Model Parametric Determination from Simulation

of IVGTT Patient Data ................................................................. 254 9.3 Oral Glucose Tolerance Test ................................................................... 259

9.3.1 OGTT Process ................................................................................ 259 9.3.2 Model Analysis to Simulate OGTT Response Curve ............. 260 9.3.3 Damped Response Model for OGTT Simulation .................... 261 9.3.4 Model Parameter Identification: Simulation with

Patient Data and Evaluation of Model Parameters................. 265 Appendix A: Nature of Solution for Equation 9.14 ..................................... 268 Appendix B: Model Simulation for the Normal

Patient’s OGTT Glucose Response.......................................... 270 Appendix C: Model Simulation for the Diabetic Person’s

OGTT Data.................................................................................. 272 References ........................................................................................................... 273

In this chapter, we apply our blood glucose-insulin control system (BGCS) model developed in the previous chapter to simulate glucose tolerance tests, both intravenous glucose tolerance test (IVGTT) and oral glucose tolerance test (OGTT).