BibTeX:

@article{IJIRSTV4I8027,
     title={Mathematical Model for Blood Glucose invention during fasting and Post Pandial},
     author={G. Komahan, Usha Rani. M, Abiramasundari. S, Swaminathan. B and Sanchaikumar. N},
     journal={International Journal for Innovative Research in Science & Technology},
     volume={4},
     number={8},
     pages={93--97},
     year={},
     url={http://www.ijirst.org/articles/IJIRSTV4I8027.pdf},
     publisher={IJIRST (International Journal for Innovative Research in Science & Technology)},
}

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 thyroxine. The two most common forms of diabetes are due to either a diminished production of insulin (Type 1 diabetes), or decreased response by the body of 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 each hormone is initiated and how its impact the 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. Our model extends the one suggested by E.Ackerman2 (1969) to include three instead of two hormones concentrations. In particular we include concentrations for glucose, glucagon and a global variable that includes other hormones such as insulin. The model is based on a 3×3 system of non –homogenous ordinary differential equation. A nonlinear least square method is used to find the coefficient parameters of the system based on actual from data GTT. The simulations also provide an indicator similar to the one proposed by E. Ackerman (1969), to diagnose a diabetic condition. Additionally, we develop a graphical user interface to facilitate the entering of the patient’s data and the visualization of the results.

Differential Equations, Diabetes, Simulations, Graphical User Interface