Review Study of Detection of Diabetes Models through Delay Differential Equations  

作　　者：Dimplekumar Chalishajar David H. Geary Geoffrey Cox Dimplekumar Chalishajar;David H. Geary;Geoffrey Cox(Department of Applied Mathematics, Virginia Military Institute, Lexington, VA, USA)

机构地区：[1]Department of Applied Mathematics, Virginia Military Institute, Lexington, VA, USA

出　　处：《Applied Mathematics》2016年第10期1087-1102,共16页应用数学（英文）

摘　　要：Mathematical models based on advanced differential equations are utilized to analyze the glucose-insulin regulatory system, and how it affects the detection of Type I and Type II diabetes. In this paper, we have incorporated several models of prominent mathematicians in this field of work. Three of these models are single time delays, where either there is a time delay of how long it takes insulin produced by the pancreas to take effect, or a delay in the glucose production after the insulin has taken effect on the body. Three other models are two-time delay models, and based on the specific models, the time delay takes place in some sort of insulin production delay or glucose production delay. The intent of this paper is to use these multiple delays to analyze the glucose-insulin regulatory system, and how if it is not properly working at any point, the high risk of diabetes becomes a reality.Mathematical models based on advanced differential equations are utilized to analyze the glucose-insulin regulatory system, and how it affects the detection of Type I and Type II diabetes. In this paper, we have incorporated several models of prominent mathematicians in this field of work. Three of these models are single time delays, where either there is a time delay of how long it takes insulin produced by the pancreas to take effect, or a delay in the glucose production after the insulin has taken effect on the body. Three other models are two-time delay models, and based on the specific models, the time delay takes place in some sort of insulin production delay or glucose production delay. The intent of this paper is to use these multiple delays to analyze the glucose-insulin regulatory system, and how if it is not properly working at any point, the high risk of diabetes becomes a reality.

关 键 词：Delay Differential Equations MATLAB DIABETES Insulin-Glucose Model 

分 类 号：O17[理学—数学]