Study of Bergman’s minimal blood glucose-insulin model by adomian decomposition method

Abstract

In this paper, we discuss the solution of Bergman’s minimal model of fractional order, used to describe blood glucose and insulin metabolism by Adomian decomposition method (ADM). Numerical simulations show that the approximate solutions are indeed continuous functions of fractional derivatives. In addition, the calculations involved in ADM are very simple and straightforward.

Keywords:

• Bergman’s minimal model
• Adomian decomposition method
• He’s polynomials
• Fractional differential equation

AMS 2010 Subject Classification:

• 26A33
• 33E12
• 35A22
• 35R11