(193ac) Development of Mathematical Approach to Studying Cholesterol Deposition in the Artery for Different Fluid Models
In this work, the use of a mathematical model to analyze the effect of stenosis development on velocity profile and cholesterol deposition in the artery for different fluid models was explored. The results of this analysis indicated that in addition to the common parameters such as stenosis size, blood flow rate, stenosis height, blood viscosity is the most significant factor which has a substantial effect on the stenosis region. In summary, this work is a step forward towards the development of novel therapeutic and diagnostic approaches for atherosclerosis. An analytical mathematical approach is explained here that allows one to derive formulas for velocity profiles. Two main cases are considered in this research:
- Newtonian flow
· Non- Newtonian flow based on the Power Law Model, Casson Model, Carreau Model, Walburn-Schneck model.
The analysis involves the solution of the equation of the Navier-Stokes which is coupled with continuity equation. The research proposed here will have a highly beneficial impact on the area of clinical diagnostics and medicine.