Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue

Brain oedema formation after ischaemia-reperfusion has been previously modelled by assuming that the blood vessels distribution in the brain as homogeneous. However, the blood vessels in the brain have variety of sizes and this assumption should be reconsidered. One of the ways to improve this assum...

Full description

Bibliographic Details
Main Authors:	Abbas, Shabudin, Mohd Jamil Mohamed, Mokhtarudin, Stephen, Payne, Nik Abdullah, Nik Mohamed
Format:	Conference or Workshop Item
Language:	English English
Published:	2018
Subjects:	TJ Mechanical engineering and machinery
Online Access:	http://umpir.ump.edu.my/id/eprint/23545/ http://umpir.ump.edu.my/id/eprint/23545/1/24.%20Application%20of%20asymptotic%20expansion%20homogenization.pdf http://umpir.ump.edu.my/id/eprint/23545/2/24.1%20Application%20of%20asymptotic%20expansion%20homogenization.pdf

id	ump-23545
recordtype	eprints
spelling	ump-235452019-07-17T06:35:13Z http://umpir.ump.edu.my/id/eprint/23545/ Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue Abbas, Shabudin Mohd Jamil Mohamed, Mokhtarudin Stephen, Payne Nik Abdullah, Nik Mohamed TJ Mechanical engineering and machinery Brain oedema formation after ischaemia-reperfusion has been previously modelled by assuming that the blood vessels distribution in the brain as homogeneous. However, the blood vessels in the brain have variety of sizes and this assumption should be reconsidered. One of the ways to improve this assumption is by taking into account the microstructure of the blood vessels and their distribution by formulating the model using asymptotic expansion homogenization (AEH) technique. In this paper, AEH of the vascularized poroelastic model is carried out to obtain a set of new homogenized macroscale governing equations and their associated microscale cell problems. An example of solving the microscale cell problems using a simple cubic geometry with embedded 6-branch cylinders representing brain tissue and capillaries is shown to obtain four important tensors L;Q;K; and G, which will be used to solve the homogenized macroscale equations on a larger brain geometry. This method will be extended in the future to include statistically accurate capillary distribution of brain tissue. 2018-09 Conference or Workshop Item NonPeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/23545/1/24.%20Application%20of%20asymptotic%20expansion%20homogenization.pdf pdf en http://umpir.ump.edu.my/id/eprint/23545/2/24.1%20Application%20of%20asymptotic%20expansion%20homogenization.pdf Abbas, Shabudin and Mohd Jamil Mohamed, Mokhtarudin and Stephen, Payne and Nik Abdullah, Nik Mohamed (2018) Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue. In: The International Conference on Mathematics: Pure, Applied and Computation (ICOMPAC 2018), 20 October 2018 , Hotel Majapahit, Surabaya, Indonesia. pp. 1-6.. (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English English
topic	TJ Mechanical engineering and machinery
spellingShingle	TJ Mechanical engineering and machinery Abbas, Shabudin Mohd Jamil Mohamed, Mokhtarudin Stephen, Payne Nik Abdullah, Nik Mohamed Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
description	Brain oedema formation after ischaemia-reperfusion has been previously modelled by assuming that the blood vessels distribution in the brain as homogeneous. However, the blood vessels in the brain have variety of sizes and this assumption should be reconsidered. One of the ways to improve this assumption is by taking into account the microstructure of the blood vessels and their distribution by formulating the model using asymptotic expansion homogenization (AEH) technique. In this paper, AEH of the vascularized poroelastic model is carried out to obtain a set of new homogenized macroscale governing equations and their associated microscale cell problems. An example of solving the microscale cell problems using a simple cubic geometry with embedded 6-branch cylinders representing brain tissue and capillaries is shown to obtain four important tensors L;Q;K; and G, which will be used to solve the homogenized macroscale equations on a larger brain geometry. This method will be extended in the future to include statistically accurate capillary distribution of brain tissue.
format	Conference or Workshop Item
author	Abbas, Shabudin Mohd Jamil Mohamed, Mokhtarudin Stephen, Payne Nik Abdullah, Nik Mohamed
author_facet	Abbas, Shabudin Mohd Jamil Mohamed, Mokhtarudin Stephen, Payne Nik Abdullah, Nik Mohamed
author_sort	Abbas, Shabudin
title	Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
title_short	Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
title_full	Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
title_fullStr	Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
title_full_unstemmed	Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
title_sort	application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
publishDate	2018
url	http://umpir.ump.edu.my/id/eprint/23545/ http://umpir.ump.edu.my/id/eprint/23545/1/24.%20Application%20of%20asymptotic%20expansion%20homogenization.pdf http://umpir.ump.edu.my/id/eprint/23545/2/24.1%20Application%20of%20asymptotic%20expansion%20homogenization.pdf
first_indexed	2023-09-18T22:35:18Z
last_indexed	2023-09-18T22:35:18Z
_version_	1777416555661885440

Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue

Similar Items