Name
Title | ||
|---|---|---|
A new general glucose homeostatic model using a proportional-integral-derivative controller |
Abstract | ||
|---|---|---|
Abstract: The glucose-insulin system is a challenging process to model due to the feedback mechanisms present, hence the implementation of a model-based approach to the system is an on-going and challenging research area. A new approach is proposed here which provides an effective way of characterising glycaemic regulation. The resulting model is built on the premise that there are three phases of insulin secretion, similar to those seen in a proportional-integral-derivative (PID) type controller used in engineering control problems. The model relates these three phases to a biological understanding of the system, as well as the logical premise that the homeostatic mechanisms will maintain very tight control of the system. It includes states for insulin, glucose, insulin action and a state to simulate an integral function of glucose. Structural identifiability analysis was performed on the model to determine whether a unique set of parameter values could be identified from the available observations, which should permit meaningful conclusions to be drawn from parameter estimation. Although two parameters - glucose production rate and the proportional control coefficient - were found to be unidentifiable, the former is not a concern as this is known to be impossible to measure without a tracer experiment, and the latter can be easily estimated from other means. Subsequent parameter estimation using Intravenous Glucose Tolerance Test (IVGTT) and hyperglycaemic clamp data was performed and subsequent model simulations have shown good agreement with respect to these real data. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.cmpb.2010.08.013 | Computer Methods and Programs in Biomedicine |
Keywords | Field | DocType |
parameter value,proportional-integral-derivative controller,parameter estimation,insulin action,subsequent model simulation,insulin secretion,new general glucose homeostatic,glucose production rate,glucose-insulin system,proportional control coefficient,engineering control problem,resulting model,insulin,mathematical model,mathematical models,diabetes,pid control,proportional integral derivative | Control theory,Intravenous Glucose Tolerance Test,Proportional control,PID controller,Control theory,Identifiability analysis,Computer science,Estimation theory,Insulin,Mathematical model | Journal |
Volume | Issue | ISSN |
102 | 2 | 1872-7565 |
Citations | PageRank | References |
8 | 0.96 | 2 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| E. M. Watson | 1 | 8 | 0.96 |
| Michael J. Chappell | 2 | 40 | 7.97 |
| F. Ducrozet | 3 | 8 | 0.96 |
| S. M. Poucher | 4 | 8 | 0.96 |
| James W.T. Yates | 5 | 29 | 6.15 |