The mathematical modeling of the oxygen and nutrient transportation in blood arteries Cblood (x,t) is investigated in this study and creating program by using Python and Google Colab for observing. Developing a mathematical model that explains blood flow and the diffusion of oxygen and nutrients over the walls of blood arteries in tissues takes front stage. The model considers the physical characteristics of the circulatory system as well as their interaction with the body's tissues: pressure, blood flow velocity, concentrations of oxygen O (x,t) and nutrients N(x,t). The primary objective of the effort is to construct an efficient model that will improve the knowledge of hemodynamic processes and support the evolution of techniques for cardiovascular disease diagnosis and treatment. Many cardiovascular and systemic disorders may be linked to hampered oxygen and nutrient movement in blood vessels. Often involving disturbed blood flow, limited oxygen availability to tissues, or poor nutrient diffusion, these disorders cause major health problems. Some important diseases connected to such disabilities are: Atherosclerosis, Ischemic Heart Disease (Coronary Artery Disease), Peripheral Artery Disease (PAD), Diabetes Mellitus, Chronic Obstructive Pulmonary Disease (COPD), Heart Failure, Anemia, Septic Shock, Vascular Dementia.