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

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.