ON THE MATHEMATICAL MODEL FOR THE STUDY OF DIABETES IN TARKWA NSUAEM MUNICIPALITY

Addai-Tweneboa P and Adetunde I*

ABSTRACT

Diabetes is a syndrome of disordered metabolism, usually due to a combination of hereditary and environmental causes, resulting in abnormally high blood sugar levels. Various hormones in our body such as insulin, growth hormone and glucagon control blood glucose levels. The two most common forms of diabetes are due to either a diminished production of insulin (Type I diabetes), or diminished response by the body to insulin (Type II and gestational diabetes). Both lead to hyperglycemia, which largely causes the acute signs of diabetes: excessive urine production, resulting compensatory thirst and increased fluid intake, blurred vision, unexplained weight loss, lethargy, and changes in energy metabolism. This paper explained how each hormone is activated and how it affects glucose levels in the blood. The model formulated in this project extends the one proposed by E. Ackerman (1969) to include three instead of two hormones concentrations. To be specific, this paper includes concentrations for glucose, glucagon and insulin.

Keywords: Diabetes Mellitus, Body mass index, Blood sugar level, Frequent Urination.