Mathematical modelling of blood-brain barrier failure and oedema

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Abstract

Injuries such as traumatic brain injury and stroke can result in increased blood-brain barrier (BBB) permeability. This increase may lead to water accumulation in the brain tissue resulting in vasogenic oedema. Although the initial injury may be localized, the resulting oedema causes mechanical damage and compression of the vasculature beyond the original injury site. We employ a biphasic mixture model to investigate the consequences of BBB permeability changes within a region of brain tissue and the onset of vasogenic oedema. We find that such localized changes can indeed result in brain tissue swelling and suggest that the type of damage that results (stress damage or strain damage) depends on the ability of the brain to clear oedema fluid.

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Lang, G. E., Vella, D., Waters, S. L., & Goriely, A. (2017). Mathematical modelling of blood-brain barrier failure and oedema. Mathematical Medicine and Biology : A Journal of the IMA, 34(3), 391–414. https://doi.org/10.1093/imammb/dqw009

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