SURVEY: MATHEMATICAL MODELS FOR THE REGULATION MECHANISM OF GLUCOSE BY PANCREAS’S HORMONES IN THE HUMAN BODY

Abstract

Abstract— Optimization algorithms are techniques for solving optimization problems in different areas. Anyone cannot obtain an optimal, precise, and complete solution as those existed in the universe, whether nature behavior in living creatures, cosmic systems, or at the level of the mechanism of systems in the human body. One of these systems is the system of regulation blood glucose levels in the human body. This system maintains blood glucose levels in a stable condition without increase or decrease. There are many medical, biochemistry, bionic engineering, and physiology researches that have studied the mechanism of regulation of glucose in the human body and the crystallization of the mechanism in the form of mathematical models, which greatly facilitate understanding the mechanism of pancreas hormones and regulation mechanism. However, there is a lack in researches that demonstrate the sequential integrative processes between three main sub-systems and the parallel integrative processes between components of theses sub-systems for managing blood glucose level. Therefore, this research aims to expand on the field of regulation mechanisms of blood glucose. It covers the mechanism with thirteen models that mathematically clarify the mechanism of components of the blood glucose levels regulation in the human body to understand the divine system in the process of the regulation, which may be inspired to create a general method that used to solve optimization problems.