Reply on comments on: "Influence of parent vessel dominancy on fluid dynamics of anterior communicating artery aneurysms" by T. Hassan, A. A. Hassan, and Y. Ahmed (2010) Acta Neurochirurgica

1.1 Numerical solution details: It is so familiar in many research works using computational fluid dynamics (CFD) to make a grid dependency study and introduce only into the paper the results of the final mesh, such as in [2, 6, 7, 9, 10, 14, 15, 27]. We have followed the same concept in our paper to Acta Neurochirurgica for each case. 1.2 We understand well the effects of the under-relaxation factors (URF) on the numerical solution, and usually, in the CFD world, there is no need for mentioning the values of the URF, such as in [1, 2, 6–10, 13–15, 18, 26, 27]. Nevertheless, the values of the URF that have been used in our paper (0.3 for pressure and 0.7 for momentum) were good enough to make sure that our final numerical results are physical and good. 1.3 We have used the area weighted average formula (Eq. 1) [4] for monitoring the pressure at different planes in the anterior communicating (ACOM) artery, and the integral formula (Eq. 2) [4] for monitoring the integrated values of the pressure and the WSS on the surfaces of the ACOM artery and the aneurysm, beside monitoring the residuals at each iteration of the solution steps. We end the simulation process when the solution no longer changes with additional iterations.