Modelling of flow through the circle of Willis and cerebral vasculature

Šutalo, Ilija D.; Bui, Anh; Ahmed, Shakil; Liffman, Kurt; Manasseh, Richard

doi:10.2495/bio090081

Cited by 7 publications

(6 citation statements)

References 23 publications

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“…Furthermore, the small arteries branching from the middle cerebral artery were described using a binary self-similar tree characterized by several parameters [18]. Additionally, the circulatory system of the brain was modelled by coupling a three-dimensional CFD CoW model with a one-dimensional branching tree model of the peripheral cerebral vasculature based Exchanges of gases, metabolites, and other substances between the bloodstream and the tissues of the body on the CCO algorithm [19,20]; nonetheless, the main disadvantage of this algorithm is that the distributions of the main arteries on the cerebral cortex are not represented with a sufficient accuracy. A more realistic approach consists of combining anatomical and physiological visualization methods with computer modelling technology.…”

Section: Background Of the Computer Models Of The Circulatory Systemmentioning

confidence: 99%

Multiparametric topological analysis of reconstructed rat brain arterial system

2019

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All metabolic processes in living tissues are provided by the vascular system, whose functionality largely depends on its structure and topology. The paper proposes an algorithm for constructing the circulatory system based on a combination of stochastic and deterministic approaches. Analyses of the topological characteristics of arterial tree models with different values of the bifurcation exponent (γ) and length coefficient (λ) show that the maximum agreement with experimental data can be achieved only with the optimal values of both parameters (3.0 and 0.90, respectively). Application of the multiparametric optimization in conjunction with topological analysis makes it possible to quantify the biological division of the distributing and delivering vessels of a tree with a high degree of branching. The proposed approach allows both the correct spatial localization of the main arteries and the complex topology of the complete arterial system down to the capillaries to be reproduced.

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Section: Background Of the Computer Models Of The Circulatory Systemmentioning

confidence: 99%

Multiparametric topological analysis of reconstructed rat brain arterial system

2019

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“…Previously, Šutalo et al [31] modelled the blood flow in a coupled computational fluid dynamics (CFD) model of the 3D patient-specific CoW and branching tree fractal model of the cerebral vascular networks [32]. In future, it is possible to couple this model of the embolus transport in peripheral cerebral vascular networks with embolus transport in the CoW.…”

Section: Current Model and Future Model Improvementsmentioning

confidence: 99%

Modelling of embolus transport and embolic stroke

Sutalo

Bui

Liffman

et al. 2011

Environmental Health and Biomedicine

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Cerebral microembolism may lead to the restriction of blood supply due to damaged blood vessel tissue (focal ischemia) which is increasingly seen as the cause of cognitive deterioration including Alzheimer's disease and vascular dementia. The flow through fractal models of the peripheral vasculature of the Anterior Cerebral Arteries (ACA) and Middle Cerebral Arteries (MCA) was modelled. The multi-scale model of the cerebral vasculature was coupled with blood flow and embolus transport models. The model incorporated asymmetric bifurcation trees, embolus-vascular interactions and autoregulation. Simulations were carried out where the embolus deposition rate, embolus diameter and embolus introduction rate were varied. Increasing the embolus diameter and embolus introduction rate increased the number of blocked terminal arteries to a quasi steady-state. For a low embolus deposition rate the MCA and ACA territory had the same embolization dynamics, even though, the MCA was larger than the ACA. It was also found for a higher embolus deposition rate the MCA, due to its more expansive structure, was less prone to occlusion than the ACA. The results also showed the effect of a single blockage is expected to be less severe in asymmetric flow than symmetric flow. This model will assist in developing a better understanding into embolic stroke and effect of

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“…Such an approach is advantageous since the resulting state estimate satisfies conservation laws and captures even fine intracranial arteries, but it is highly dependent on the specification of correct initial and boundary conditions, such as the exact vessel geometry and flow input [8,9]. Contrary to flow investigation in aneurysms, existing flow studies in complex vascular pathways provide only simple comparisons between measurements and simulations, or use either of the two alone for flow quantification [10][11][12]. Inflow and outflow conditions are one of the major unknowns when constructing the numerical model [13]; often the associated uncertainty and the corresponding impact on flow estimates is not quantified [14].…”

Section: Introductionmentioning

confidence: 99%

Hemodynamic Data Assimilation in a Subject-specific Circle of Willis Geometry

et al. 2020

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Purpose The anatomy of the circle of Willis (CoW), the brain’s main arterial blood supply system, strongly differs between individuals, resulting in highly variable flow fields and intracranial vascularization patterns. To predict subject-specific hemodynamics with high certainty, we propose a data assimilation (DA) approach that merges fully 4D phase-contrast magnetic resonance imaging (PC-MRI) data with a numerical model in the form of computational fluid dynamics (CFD) simulations. Methods To the best of our knowledge, this study is the first to provide a transient state estimate for the three-dimensional velocity field in a subject-specific CoW geometry using DA. High-resolution velocity state estimates are obtained using the local ensemble transform Kalman filter (LETKF). Results Quantitative evaluation shows a considerable reduction (up to 90%) in the uncertainty of the velocity field state estimate after the data assimilation step. Velocity values in vessel areas that are below the resolution of the PC-MRI data (e.g., in posterior communicating arteries) are provided. Furthermore, the uncertainty of the analysis-based wall shear stress distribution is reduced by a factor of 2 for the data assimilation approach when compared to the CFD model alone. Conclusion This study demonstrates the potential of data assimilation to provide detailed information on vascular flow, and to reduce the uncertainty in such estimates by combining various sources of data in a statistically appropriate fashion.

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Modelling of flow through the circle of Willis and cerebral vasculature

Cited by 7 publications

References 23 publications

Multiparametric topological analysis of reconstructed rat brain arterial system

Multiparametric topological analysis of reconstructed rat brain arterial system

Modelling of embolus transport and embolic stroke

Hemodynamic Data Assimilation in a Subject-specific Circle of Willis Geometry

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