Abstract
—This study presents a Mathematical Model Insulin
Therapy in Patients with Diabetes Mellitus which includes
external rate at which blood glucose, insulin and epinephrine are
being increased in the form, Y
=AY+r
(t) and whose solution was
analyzed to provide the systems natural frequency,
0
, which is
the basic descriptor of saturation level of the drug. It was
established that the resonance period for the final model, that is,
T
0
=3.76912 hrs, is in the acceptable therapeutic range and
agrees well with the data for the existing insulin therapy. By
employing the model, it is shown that, the peak, which is the time
period for insulin to be most effective in lowering blood sugar, is
shorter than T
0
=5.3199 hrs, for the existing model. This model
would help the medical practitioners to predict drug therapy in
patients with Diabetes Mellitus, in such a way that the
concentration of the drug remains in the therapeutic range