Abstract
Most frequently (80%) strokes result from the occlusion of one or several brain vessels and are called ischemic strokes (in the other cases, strokes are hemorrhagic strokes). Measurements of haemodynamics and oxygen delivery on microscopic scales are technically difficult or impossible in many cases, especially during brain activity. One way to study the disease is to establish mathematical models to better understand the dynamic process of blood perfusion and oxygen transport in an ischemic stroke. In this paper, we propose a mathematical modelling system to investigate the haemodynamics and oxygen transport through a 2D cerebral microvascular network during ischemic stroke. The microvessel network is based on the anatomical brain microcirculation structure. The haemodynamic calculation is carried out on the microvessel network by fully coupling the intravascular blood perfusion, the transvascular flow and the interstitial fluid flow. In addition, the compliance of microvessels and blood rheology with hematocritic distribution are also considered. The coupling procedure is based on the iteratively numerical simulation techniques in our previous study for tumour microvessels. The oxygen delivery is described by the time-varying oxygen advection diffusion equation which includes oxygen diffusion and advection in individual microvessel segments, oxygen flux across the vascular wall, and then oxygen diffusion and consumption within the brain tissue. The haemodynamic information and oxygen distribution are investigated under physiological and pathological conditions.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Zhou, Z.J., Liu, Z., Cai, Y., Li, Z.Y. (2015). Mathematical Modelling of Blood Perfusion and Oxygen Transport in the Cerebral Microvasculature of Ischemic Stroke. In: Goh, J., Lim, C. (eds) 7th WACBE World Congress on Bioengineering 2015. IFMBE Proceedings, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-319-19452-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-19452-3_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19451-6
Online ISBN: 978-3-319-19452-3
eBook Packages: EngineeringEngineering (R0)