Sensor-Augmented Pump-Based Customized Mathematical Model for Type 1 Diabetes

2018 ◽  
Vol 20 (3) ◽  
pp. 207-221 ◽  
Author(s):  
Benyamin Grosman ◽  
Di Wu ◽  
Diana Miller ◽  
Louis Lintereur ◽  
Anirban Roy ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Type 1 Diabetes

A mathematical model of type 1 diabetes involving leptin effects on glucose metabolism

2018 ◽  
Vol 456 ◽  
pp. 213-223 ◽  
Author(s):  
Rei Kadota ◽  
Kazuma Sugita ◽  
Kenko Uchida ◽  
Hitoshi Yamada ◽  
Masashi Yamashita ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Type 1 Diabetes ◽  
Glucose Metabolism

scholarly journals A Review of Mathematical Model Describing Insulin Delivery System for Type 1 Diabetes

2014 ◽  
Vol 14 (13) ◽  
pp. 1465-1468 ◽  
Author(s):  
Nur Farhana Mohd Yusof ◽  
Ayub Md. Som ◽  
Ahmmed Saadi Ibrehem ◽  
Sherif Abdulbari Ali
Keyword(s):  
Mathematical Model ◽  
Type 1 Diabetes ◽  
Delivery System ◽  
Insulin Delivery ◽  
Insulin Delivery System

Dosing and Timing Effects of Anti-CD40L Therapy: Predictions from a Mathematical Model of Type 1 Diabetes

2007 ◽  
Vol 1103 (1) ◽  
pp. 63-68 ◽  
Author(s):  
K. G. GADKAR ◽  
L. K. M. SHODA ◽  
H. T. C. KREUWEL ◽  
S. RAMANUJAN ◽  
Y. ZHENG ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Type 1 Diabetes ◽  
Timing Effects

scholarly journals Nonlinear Physiological Model of Insulin-Glucose Regulation System in Type 1 Diabetes Mellitus

2019 ◽  
Vol 15 (2) ◽  
pp. 78-88
Author(s):  
Ahmed Ali ◽  
Fadhil Tahir
Keyword(s):  
Mathematical Modeling ◽  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Type 1 Diabetes ◽  
Common Property ◽  
Physiological Model ◽  
Volterra Model ◽  
Glucose Regulation ◽  
Regulation System

Mathematical modeling is very effective method to investigate interaction between insulin and glucose. In this paper, a new mathematical model for insulin-glucose regulation system is introduced based on well-known Lokta-Volterra model. Chaos is a common property in complex biological systems in the previous studies. The results here are in accordance with previous ones and indicating that insulin-glucose regulating system has many dynamics in different situations. The overall result of this paper may be helpful for better understanding of diabetes mellitus regulation system including diseases such as hyperinsulinemia and Type1 DM.

Sign in / Sign up

Export Citation Format

Share Document