New methods for controlling cerebral aneurysms: finite-volume simulation of blood flow

OLCIAS
Mar 31, 2023
2 min read

Updated: May 1, 2023

Dr. Habchi Nawel will present a talk on the 'New methods for controlling cerebral aneurysms: finite-volume simulation of blood flow'. During this presentation, Dr. Nawel will provide insights into the significance of this research and emphasize how it can contribute to career development and growth opportunities. Authors: Dr. Habchi Nawel National hospital for Neurology and Neurosurgery (NHNN) and University of Victoria London, United Kingdom E-mail : nawelmedbio@yahoo.fr Co-Author: Mme ALLAL Assia Mechanical Engineering Departement, National Polytechnic School Maurice Audin Algeria, Oran E-mail: doctoratallal@gmail.com; assia.allal@enp-oran.dz Volume: Career Development 2023_CN32_AA01 Abstract:

Aneurysm is a pathology not always symptomatic where a blood vessel widens abnormally due to a weakness in the wall of the blood vessel in question. An aortic aneurysm usually takes the form of a swelling that is uniform all around the artery, whereas a brain aneurysm results in the formation of a swelling that takes the form of a bag, usually in a place where the arteries are most fragile. One of the preferred sites of intracranial aneurysms is the anterior communicating artery (30 to 37%) it is an anastomotic artery connecting the two anterior cerebral arteries in front of the chiasma. It participates in the constitution of the arterial circle of the brain. It provides: anteromedial central arteries, suprachiasmatic artery, median commissural artery, median callous artery.

In order to model this pathology, we will use the Navier Stokes equations in the directions (r,θ,z) the equation of continuity and this by applying the following assumptions: permanent regime:

flow along the axis of revolution z:

and

,symmetry with respect to the axis so we have no influence according to θ, the flow is axisymmetric , the anterior communicating artery is horizontal with a small diameter so following all directions and , symmetry with respect to the axis so we have no influence according to θ, the flow is axisymmetric

the anterior communicating artery is horizontal with a small diameter so following all directions ,

We also apply approximations such as: cylindrical the anterior communicating artery so the blood flow is everywhere parallel to the walls (Lubrication approximation), friction at the walls (non-slip condition) implies that the speed is zero, the pressure does not vary (lubrication approximation), the velocity is parallel to the axis of the anterior communicating artery (z)