Glucose–Insulin Dynamics Modeling
نویسنده
چکیده
CONTENTS 8.1 Background................................................................................................ 220 8.1.1 History and Prevalence of Diabetes .......................................... 220 8.1.2 Blood Glucose Regulation ........................................................... 220 8.1.3 Classification of Diabetes ............................................................ 222 8.1.4 Objective ......................................................................................... 223 8.2 Introduction to Glucose-Regulatory Modeling.................................... 223 8.3 Modeling of Glucose–Insulin Regulation ............................................. 224 8.3.1 Differential-Equation Model of the Glucose–Insulin System....224 8.3.2 Differential-Equation Model in Glucose Concentration [y], for Insulin Infusion Rate [p1⁄4 0], and Glucose Inflow Rate [q] ................................. 227 8.3.3 Differential-Equation Model in Insulin Concentration (x), for p1⁄4 0 and q Input..................................................................... 229 8.3.4 Laplace Transform Representation of Governing Equations 8.3 and 8.4 ................................................................... 229 8.4 Block Diagrams of Blood Glucose Control System............................. 231 8.4.1 Blood Glucose–Insulin Regulatory Control System (BGCS) Model................................................................................ 231 8.4.2 Control-System Derivation and Representation of Equations 8.1 and 8.2 to Obtain Equations 8.5a and 8.8 ... 232 8.5 Analyses of Glucose and Insulin Responses to Clinically Representative Glucose-Input Functions ............................................. 234 8.5.1 Glucose Response Characterization to Different Forms of Input Functions q(t) into the Blood Pool.............................. 234 8.5.2 Insulin x(t) Responses of the System: x(t) Output to Glucose q(t) Input..................................................................... 240 8.6 Model Characteristics and Physiological Significance ....................... 243 8.6.1 Model Characteristics................................................................... 243 8.6.2 Explanation of the Glucoseand Insulin-Simulated Response Curves in Terms of the Model Characteristics ...... 245 Ghista/Applied Biomedical Engineering Mechanics DK8315_C008 Final Proof page 219 29.5.2008 12:12am Compositor Name: MSubramanian
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