Abstract
This paper presents an elaborate mathematical model of dynamic glucose metabolism. Although it is known that the control mechanism of glucose metabolism is partly related to the brain, almost all existing papers ignore the brain mechanism in the dynamic glucose metabolism of diabetes. Then, we propose a refined mathematical model to integrate the brain-based regulatory mechanism with leptin into the conventional FDA approval model for all human beings to obtain an optimal combined treatment of not only insulin therapy but also leptin therapy. The effectiveness and limitations of the proposed combined therapy with insulin and leptin for not only type 1 diabetes mellitus but also type 2 diabetes mellitus are also evaluated through in silico experiments.
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