Abstract:Objective Considering aortic wall hyperelasticity and residual stress, we propose a numerical simulation method for predicting aortic blood pressure based on vascular compliance. Methods Use the residual stress solution method based on the closing opening angle to get to the analytical solution for the pressure-radius relationship of the idealized double-layered aortic wall model. Apply this formula to the moving boundary represents the motion of the aortic wall, we can capture the hemodynamic effects caused by fluid-structure interaction and obtain the relationship between vascular compliance and pulse pressure. We compare the effects of with or without residual stress, hyperelasticity or linear elasticity constitutive relationships, as well as different ages on vascular compliance and aortic blood pressure. Incorporate the function of the stent graft and consider the stented region as a rigid wall, simulating the effects of different numbers of stents and stent positions on aortic blood pressure. Results Compared to the linear elastic model, hyperelastic model predicted smaller aortic pulse pressure values in numerical simulation. Vascular compliance with residual stress is higher than without residual stress, correspondingly, when considering residual stress, aortic pulse pressure is slightly lower than without residual stress. The compliance of different ages shows 40~49 years > 60~69 years > 70 years and above, correspondingly, the pulse pressure of different ages shows 40~49 years< 60~69 years < 70 years and above. When a 60 mm stent is implanted in the aorta, due to decreased compliance, the pulse pressure is higher compared to the situation without stent. Moreover, as the number of stents increases, the aortic pulse pressure continues to rise, indicating that the wider the range of stent implantation, the higher the pulse pressure. When the stent is implanted in the ascending aorta, the pulse pressure is slightly higher than when it is implanted in the descending aorta. The lowest aortic pulse pressure occurs when the stent is implanted in the abdominal aorta, meaning that the closer the stent implantation site is to the heart, the higher the pulse pressure. Conclusion The proposed method can accurately predict blood pressure and evaluate aortic compliance through numerical simulation results, providing technical support for stent design and surgical plan optimization.