Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling

Restoration of an adequate cerebral blood supply after an ischemic attack is a primary clinical goal. However, the blood–brain barrier may break down after a prolonged ischemia causing the fluid in the blood plasma to filtrate and accumulate into the cerebral tissue interstitial space. Accumulation...

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Main Authors:	Mohd Jamil Mohamed, Mokhtarudin, Payne, S. J.
Format:	Article
Language:	English
Published:	Elsevier Ltd 2015
Subjects:	TJ Mechanical engineering and machinery
Online Access:	http://umpir.ump.edu.my/id/eprint/8804/ http://umpir.ump.edu.my/id/eprint/8804/ http://umpir.ump.edu.my/id/eprint/8804/ http://umpir.ump.edu.my/id/eprint/8804/1/fkm-2015-Mokhtarudin-Mathematical%20Model-abs.pdf

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recordtype	eprints
spelling	ump-88042018-08-29T03:17:02Z http://umpir.ump.edu.my/id/eprint/8804/ Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling Mohd Jamil Mohamed, Mokhtarudin Payne, S. J. TJ Mechanical engineering and machinery Restoration of an adequate cerebral blood supply after an ischemic attack is a primary clinical goal. However, the blood–brain barrier may break down after a prolonged ischemia causing the fluid in the blood plasma to filtrate and accumulate into the cerebral tissue interstitial space. Accumulation of this filtration fluid causes the cerebral tissue to swell, a condition known as vasogenic oedema. Tissue swelling causes the cerebral microvessels to be compressed, which may further obstruct the blood flow into the tissue, thus leading to the no-reflow phenomenon or a secondary ischemic stroke. The actual mechanism of this however is still not fully understood. A new model is developed here to study the effect of reperfusion on the formation of vasogenic oedema and cerebral microvessel collapse. The formation of vasogenic oedema is modelled using the capillary filtration equation while vessel collapse is modelled using the tube law of microvessel. Tissue swelling is quantified in terms of displacement, which is modelled using poroelastic theory. The results show that there is an increase in tissue displacement and interstitial pressure after reperfusion. In addition, the results also show that vessel collapse can occur at high value of reperfusion pressure, low blood osmotic pressure, high cerebral capillary permeability and low cerebral capillary stiffness. This model provides insight on the formation of ischemia–reperfusion injury by tissue swelling and vessel collapse. Elsevier Ltd 2015 Article PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/8804/1/fkm-2015-Mokhtarudin-Mathematical%20Model-abs.pdf Mohd Jamil Mohamed, Mokhtarudin and Payne, S. J. (2015) Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling. Mathematical Biosciences, 263. pp. 111-120. ISSN 0025-5564 http://dx.doi.org/10.1016/j.mbs.2015.02.011 DOI: 10.1016/j.mbs.2015.02.011
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Malaysia Pahang
building	UMP Institutional Repository
collection	Online Access
language	English
topic	TJ Mechanical engineering and machinery
spellingShingle	TJ Mechanical engineering and machinery Mohd Jamil Mohamed, Mokhtarudin Payne, S. J. Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling
description	Restoration of an adequate cerebral blood supply after an ischemic attack is a primary clinical goal. However, the blood–brain barrier may break down after a prolonged ischemia causing the fluid in the blood plasma to filtrate and accumulate into the cerebral tissue interstitial space. Accumulation of this filtration fluid causes the cerebral tissue to swell, a condition known as vasogenic oedema. Tissue swelling causes the cerebral microvessels to be compressed, which may further obstruct the blood flow into the tissue, thus leading to the no-reflow phenomenon or a secondary ischemic stroke. The actual mechanism of this however is still not fully understood. A new model is developed here to study the effect of reperfusion on the formation of vasogenic oedema and cerebral microvessel collapse. The formation of vasogenic oedema is modelled using the capillary filtration equation while vessel collapse is modelled using the tube law of microvessel. Tissue swelling is quantified in terms of displacement, which is modelled using poroelastic theory. The results show that there is an increase in tissue displacement and interstitial pressure after reperfusion. In addition, the results also show that vessel collapse can occur at high value of reperfusion pressure, low blood osmotic pressure, high cerebral capillary permeability and low cerebral capillary stiffness. This model provides insight on the formation of ischemia–reperfusion injury by tissue swelling and vessel collapse.
format	Article
author	Mohd Jamil Mohamed, Mokhtarudin Payne, S. J.
author_facet	Mohd Jamil Mohamed, Mokhtarudin Payne, S. J.
author_sort	Mohd Jamil Mohamed, Mokhtarudin
title	Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling
title_short	Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling
title_full	Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling
title_fullStr	Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling
title_full_unstemmed	Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling
title_sort	mathematical model of the effect of ischemia–reperfusion on brain capillary collapse and tissue swelling
publisher	Elsevier Ltd
publishDate	2015
url	http://umpir.ump.edu.my/id/eprint/8804/ http://umpir.ump.edu.my/id/eprint/8804/ http://umpir.ump.edu.my/id/eprint/8804/ http://umpir.ump.edu.my/id/eprint/8804/1/fkm-2015-Mokhtarudin-Mathematical%20Model-abs.pdf
first_indexed	2023-09-18T22:06:46Z
last_indexed	2023-09-18T22:06:46Z
_version_	1777414760839512064

Mathematical Model of the Effect of Ischemia–reperfusion on Brain Capillary Collapse and Tissue Swelling

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