Mathematical modelling of haemorrhagic transformation within a multiscale microvasculature network
Journal
Physiological Measurement
Journal Volume
43
Journal Issue
5
Date Issued
2022
Author(s)
Abstract
Objective. Haemorrhagic transformation (HT) is one of the most common complications after ischaemic stroke, caused by damage to the blood-brain barrier (BBB) that could be the result of stroke progression or a complication of stroke treatment with reperfusion therapy. The aim of this study is to develop further a previous simple HT mathematical model into an enlarged multiscale microvasculature model in order to investigate the effects of HT on the surrounding tissue and vasculature. In addition, this study investigates the relationship between tissue displacement and vascular geometry. Approach. By modelling tissue displacement, capillary compression, hydraulic conductivity in tissue and vascular permeability, we establish a mathematical model to describe the change of intracranial pressure (ICP) surrounding the damaged vascular bed after HT onset, applied to a 3D multiscale microvasculature. The use of a voxel-scale model then enables us to compare our HT simulation with available clinical imaging data for perfusion and cerebral blood volume ( C B V ) in the multiscale microvasculature network. Main results. We showed that the haematoma diameter and the maximum tissue displacement are approximately proportional to the diameter of the breakdown vessel. Based on the voxel-scale model, we found that perfusion reduces by approximately 13 - 17 % and C B V reduces by around 20 - 25 % after HT onset due to the effect of capillary compression caused by increased interstitial pressure. The results are in good agreement with the limited experimental data. Significance. This model, by enabling us to bridge the gap between the microvascular scale and clinically measurable parameters, providing a foundation for more detailed validation and understanding of HT in patients. © 2022 The Author(s). Published on behalf of Institute of Physics and Engineering in Medicine by IOP Publishing Ltd
Subjects
cerebral blood flow; haemorrhagic transformation; ischaemic stroke; microbleed
SDGs
Other Subjects
Blood; Medical imaging; Tissue; Blood volumes; Blood-brain barrier; Cerebral blood flow; Hemorrhagic transformation; Institute of Physics; Ischemic strokes; Micro-vasculature; Microbled; Scale-model; Tissue displacement; Hemodynamics; brain hemorrhage; brain ischemia; cerebrovascular accident; complication; diagnostic imaging; human; microvasculature; theoretical model; Brain Ischemia; Cerebral Hemorrhage; Humans; Ischemic Stroke; Microvessels; Models, Theoretical; Stroke
Type
journal article