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...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
2018
|
| Subjects: | |
| 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 |
| _version_ | 1848821830417121280 |
|---|---|
| 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 |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T02:31:35Z |
| format | Conference or Workshop Item |
| id | ump-23545 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T02:31:35Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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) (Unpublished) |
| 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 |
| title | 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_short | Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue |
| title_sort | application of asymptotic expansion homogenization for vascularized poroelastic brain tissue |
| topic | TJ Mechanical engineering and machinery |
| 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 |