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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/4523

Title: Modelling an Equation for Detecting Diabetes
Authors: Allotey, Jacobs Bernard
Keywords: Differential equation
Issue Date: 12-Jul-2012
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, glucagon control blood glucose levels, epinephrine best known as adrenaline, glucocorticoids and thyroxin. The two most common forms of diabetes are due to either a diminished production of insulin (Type 1 diabetes), or diminished response by the body to insulin (Type 2 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. We will explain how the hormone, insulin is activated and how it affects glucose levels in blood. We present a mathematical model that determines diabetes in patients based in the results on the glucose intolerance test of 5 hours. The model is in line with the one proposed by E. Ackerman (1969). The model is based on a 2x2system of non-homogenous ordinary differential equations. A nonlinear least square method is used to determine the coefficient parameters of the system based on actual data from GTT. The simulations also provide an indicator similar to the one proposed by E. Ackerman (1969), to diagnose a diabetic condition.
Description: A Thesis submitted to the Institute of Distance Learning, Kwame Nkrumah University of Science and Technology, Kumasi in partial fulfillment of the requirements for the degree of Master of Science in Industrial Mathematics, October-2012
URI: http://hdl.handle.net/123456789/4523
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