A Mode Of The Control Of Glycemia In T1DM And Its Solution’s Structure

In this paper,we have a retrospect about the current therapy of diabetes and the re-search results about the diabetes.Though there is enough knowledge of how to treat thedisease,the outcomes are not so satisfied,as most of patients has a poor control on the glu-cose level.In order to take a better care of patient and improve the glucose level,we need toresearch the glucose-insulin regulatory system.So we reviewed some mathematics modelsused to depict the glucose-insulin regulatory system which were significant on the develop-ment of the decision support system and artificial pancreas.We proposed a new mathematics model which combined the model of subcutaneous(sc)insulin kinetics to describe the T1DM’s glucose-insulin regulatory system.As the reasonthat most people use the conventional subcutaneous insulin injection therapy,it’s necessaryto quantitate the sc insulin kinetics.We used a1-d channel describe the sc absorption ofshort-acting insulin.Compared the1-d channel mode’s simulation result with other’s,it re-veals that the1-d channel mode is reasonable,and our new mode about the glucose-insulinregulatory system is more accuracy.While we are studying the glucose control,we considered the times delay in the glucose-insulin regulatory system. In order to deal with the times delay,we have a study on the sta-bilization of1-d wave equation with input delay at first.We suppose that the wave system isfixed at one end and the other end with boundary control force input.Here we consider thecontrol force of the form αu(t)+βu(t τ) where τ is the time delay.We just find a feedbackcontrol law which stabilizes exponentially the system for any|α||β|and τ>0.