Numerical analysis of blood flow in intracranial artery stenosis affected by ischemic stroke using Finite Element method

Abstract

Intracranial stenosis is a narrowing an artery inside the brain. This causes reduced blood flow to the cerebrum and damaged neurons in a short span of time due to reduced oxygenation. Intracranial stenosis can cause ischemic stroke due to a plaque occlusion. This research uses a mathematical model that expresses the velocity of arterial flow of an intracranial stenosis causing ischemic stroke that is expressed by the momentum equation and solved using the finite element method. The analysis of blood velocity is simulated using MATLAB and FLUENT software. This study looks at the effect of plaque thickness and initial speed of blood flow during an intracranial stenosis. The results shows that the larger the plaque thickness, the smaller the area reduction, so the greater the increases blood velocity and the higher the initial velocity of blood that given, the greater the increase of the initial velocity of blood in the artery Intracranial stenosis. According to the MATLAB simulation, blood velocity with 80% plaque thickness increases blood velocity to 1.8665 m/sec at rest and 1.8825 m/sec at exercises. When the initial velocity of blood was 0.2 m/sec, it increases to 0.5712 m/sec at rest and 0.70058 m/sec at exercises.

Pemodelan Matematika Aliran Udara Pada Paru-Paru Akibat Penyakit Coronavirus Disease 2019 (Covid-19)

“…Kedokteran merupakan salah satu pengembangan ilmu matematika di dalam kedokteran mempelajari terkait cara penyakit itu menyebar dalam kehidupan sehari-hari dan terkait penyembuhanya [2]. Secara garis besar, terdapat dua faktor yang menyebabkan orang dapat sakit diantaranya faktor internal dan faktor eksternal.…”

“…Model matematika adalah proses untuk mempresentasikan dari sistem nyata yang dijabarkan dalam bentuk, himpunan, konstanta, variabel, simbol dan persamaan matematika [1][5]. Pemodelan matematika merupakan usaha dalam perancangan rumusan matematika yang menggambarkan untuk mendapatkan penyelesaian masalah matematika yang digeneralisasi untuk diterapkan pada perilaku atau kejadian alam [2]. Syarat penting yang dibutuhkan dalam penyelesaian matematika untuk menghasilkan solusi adalah syarat keadaan suatu benda, syarat ketunggalan dalam variabel, dan syarat kekontinuan pada parameter [6].…”

A review on non-Newtonian fluid models for multi-layered blood rheology in constricted arteries

“…Thus, many researchers including Ali et al [ 151 ] formulated a mathematical model to analyse the movement of blood via a stenotic circular blood vessel. Fatahillah et al [ 152 ] studied flow of blood numerically in intracranial arterial stenosis which causes ischaemic stroke. Other researcher such as Manisha et al [ 153 ] presented a non-Newtonian model for blood motion via stenotic blood vessel taking into consideration on distinct shapes of stenosis.…”