Multiscale Modelling of Brain Tissue Oxygen and Glucose Dynamics in Tortuous Capillary during Ischaemia-Reperfusion

Mohd Jamil M., Mokhtarudin and Wan Naimah, W. A. Naim and Abbas, Shabudin and Payne, Stephen J. (2022) Multiscale Modelling of Brain Tissue Oxygen and Glucose Dynamics in Tortuous Capillary during Ischaemia-Reperfusion. Applied Mathematical Modelling. ISSN 0307-904X. (In Press / Online First) (In Press / Online First)

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Abstract

Brain ischaemia causes reduction of cerebral blood flow, which interrupts the transport of oxygen and glucose to brain tissue. These transport efficiencies have also been associated with the complex cerebral microvasculature. In this study, the importance of cerebral capillary complexity and tissue interstitial porosity in oxygen and glucose transport and metabolism during brain tissue ischaemia is investigated using asymptotic expansion homogenization method. Applying this technique produces new macroscale governing equations with associated microscale cell problems. Solving the latter on brain tissue microstructural geometry will obtain parametric tensors namely the conductivities in capillary, K and interstitial space, E; and the diffusivities of substrate in capillary, DM,c, and in interstitial space, DM,t. From the microscale simulations, increasing the capillary tortuosity resulted in decrement of K and DM,c, but no significant changes on E and DM,t. Meanwhile, increasing the capillary radius resulted in the decrease of all parameters except K. Then, the parametric tensors obtained are used to solve the macroscale governing equations on a one-dimensional brain model under ischaemia-reperfusion conditions. From the macroscale simulations, changing the capillary tortuosity affects the uptake and metabolism of oxygen and glucose during brain ischaemia-reperfusion. In addition, in more tortuous capillaries, oxygen and glucose are utilized rapidly at tissues proximal to the capillary during the reperfusion process, leaving only a small amount of these substrates for distal tissues. This could be associated with severe stroke outcome. It is proposed that the capillary tortuosity of a patient could potentially be used as an additional indicator in determining the severity of ischaemic stroke.

Item Type: Article
Uncontrolled Keywords: Multiscale Modelling, Oxygen-Glucose Dynamics, Brain Ischaemia, Capillary Tortuosity
Subjects: R Medicine > RC Internal medicine
T Technology > TJ Mechanical engineering and machinery
Faculty/Division: Centre of Excellence: Centre of Excellence for Advanced Research in Fluid Flow
Faculty of Engineering Technology
College of Engineering
Faculty of Mechanical and Automotive Engineering Technology
Depositing User: Noorul Farina Arifin
Date Deposited: 20 Apr 2022 07:53
Last Modified: 20 Apr 2022 07:53
URI: http://umpir.ump.edu.my/id/eprint/33806
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