Multiscale Modelling of 3-Dimensional Brain Tissue Using Ideal Capillary Model
Part Of
Lecture Notes in Mechanical Engineering
Start Page
205
End Page
221
ISSN
21954356
ISBN (of the container)
9789811944246
ISBN
9789811944246
Date Issued
2023
Author(s)
Shabudin, Abbas
Mokhtarudin, Mohd Jamil Mohamed
Naim, Wan Naimah Wan Ab
Mohamed, Nik Abdullah Nik
Abstract
This project aims to investigate the effects of capillary size and shape toward the brain tissue poroelastic properties model using asymptotic expansion homogenization (AEH). Applying AEH to the existing poroelastic governing equations (GE) results in a new GE consists of 6 macroscale equations and 4 microscale cell problems. The cell problems are solved on a microstructure geometry of brain tissue with capillary embedded to obtain effective parametric tensors, namely the capillary and interstitial hydraulic conductivity (K and G ), capillary and interstitial homogenous Biot’s coefficient (αc and αt ), Young’s modulus (E) and Poisson’s ratio (v). By varying the tortuosity, the percentage difference of K is 97.98%, shows that it is highly affected by tortuosity. The percentage difference of G is 0.25% implying that tortuosity insignificantly affecting G. Meanwhile, αc and αt decreases and increases with tortuosity, respectively. The percentage difference of E and v are 0.14% and 0.03% respectively, implying that both parameters does not affected by tortuosity. Besides, K is exponentially increases with the increase of radius. On the other hand, G decreases as the radius increases. Meanwhile αc and αt increases and decreases, respectively as radius increases. The percentage differences of E and v are 18.26% and 14.55% respectively, suggesting that they are significantly affected by the radius. In conclusion, capillary shape and size have significant impact on the simulation of human brain. Thus, both characteristics should be precisely emphasized in the development of the geometry so that accurate parameters can be obtained to solve macroscale equations in future.
Event(s)
2nd Energy Security and Chemical Engineering Congress, ESChE 2021, Virtual, Online, 3 November 2021 - 5 November 2021
Subjects
Asymptotic expansion homogenization
Ideal capillary model
Ischaemic stroke
Macroscale equations
Microscale cell problems
Publisher
Springer Science and Business Media Deutschland GmbH
Type
conference paper