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A Mathematical Approach on Glucose-Insulin Supervisory Classification with the Impact of Non-Stationary Diffusion using Homotopy Perturbation Method

Abstract

Saranya Rajagopal, Mohan Vasudev and Lakshmanan Rajendran*

Diabetes mellitus remains a clutch of metabolic illnesses using inflated plasma glucose absorption as the foremost indication. It will be affected by a comparative or an aggregate deficiency of insulin which is created through the β-cells. Current trial outcomes designated the significance of the β-cell sequence intended for the enlargement of diabetes. This paper influences the analytical and numerical solutions of the system of nonlinear differential equations based on non-stationary diffusion containing a nonlinear term related to the kinetics of the enzymatic reaction. The Homotopy Perturbation Method (HPM) is expended to discover the analytical expressions of the glucose, Insulin, and β-cell mass respectively. The paradigm and its improvement are presented as well as the aforementioned mathematical investigation with thirteen parameters. Comparative analysis of analytical approximation and numerical simulations are also presented.