Patient-Specific Modeling by 2D and 3D Visual Membrane Petri Nets

Abstract

A Patient-specific modeling of the glycemia level in patients with type 1 diabetes mellitus by using 2D and 3D Visual Membrane Petri Nets software applications is described. This model allows to calculate the glycemia level in different parts of the human cardiovascular system (systemic circulation, pulmonary circulation, heart, coronary circulation). Our model reflects glycemia level in veins for the following cases: health condition and both the hepatic insulin-resistance and hepatic insulinsensitivity in patients with type 1 diabetes. It was shown that the hepatic insulin resistance in type 1 diabetes have a protective effect on the progression of microangiopathy in insulin-independent tissues and it is an compensatory phenomenon, but not a pathological one.