Modeling and simulation of glucose insulin glucagon algorithm for artificial pancreas to control the diabetes mellitus

• Published in: Network modeling and analysis in health informatics and bioinformatics (Wien) 2021-12, Vol.10 (1), p.42, Article 42
• Main Authors: Tabassum, Muhammad Farhan, Farman, Muhammad, Naik, Parvaiz Ahmad, Ahmad, Aqeel, Ahmad, Aqsa Shamim, Hassan, Saadia Mahmood ul
• Format: Article
• Language: English
• Subjects: Algorithms; Applications of Graph Theory and Complex Networks; Bioinformatics; Closed loops; Computational Biology/Bioinformatics; Computer Science; Computer simulation; Diabetes; Diabetes mellitus; Diabetes mellitus (insulin dependent); Epidemics; Equilibrium; Glucagon; Glucose; Health Informatics; Infusion pumps; Insulin; Mathematical models; Metabolism; Observability (systems); Original Article; Pancreas; Parameters; Partial differential equations; Plasma
• ISSN: 2192-6662; 2192-6670
• DOI: 10.1007/s13721-021-00316-4

Artificial pancreas systems the courage to remove this risk by taking existing pump technology to a new level. In this paper, we modified the existing model for type 1 diabetes mellitus to discuss different control strategies for the artificial pancreas. A model consists of eight states variables and various parameters, numerous of which are undefined and complicated to find out correctly. The stability of glucose-insulin in humans has been created and validated the non-negative unique solution. Controllability and observability for the glucose-insulin system is treated for feedback design to develop the artificial pancreas. We design glucose insulin algorithm for whole body having eight sub-compartments according to parameters values given in Liu and Tang (J Theor Biol 252:608–620, 2008) which provide the continues monitoring of glucose and insulin in finite time. Numerical simulation are carried out for closed-loop design which is helpful for the development of artificial pancreas. The developed model provides the estimation values for normal day life to measure the glucose-insulin system in humans.