Computational Modeling of Multiple Stenoses in Carotid and Vertebral Arteries

Gamilov, Timur; Simakov, Sergey; Kopylov, Philipp

doi:10.1007/978-3-319-91092-5_20

Cited by 2 publications

(3 citation statements)

References 14 publications

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“…As in 0D models, some 1D models applied in-vivo data [28,30,[40][41][42] while the majority 1D models still need invivo validation [3,8,27,28,31,[34][35][36][37][38][39]43]. 1D fractal arterial trees could be applied as the outlets of intracranial arteries [30].…”

Section: ) Methods To Improve Accuracymentioning

confidence: 99%

“…1D models present the transmission of pulse wave in CoW. Related physiological phenomena could be simulated: the multiple stenosis in intracranial arteries [42], the effects of arterial occlusion [33,34] or abnormal structure of CoW [39] on intracranial blood flow, the effect of distal flow resistances on the collateral flow pattern in normal CoW [35], the collateral flow patterns in dysplastic CoW [3], the detection of cerebral vasospasm [43], the estimation of intracranial pressure from cerebral blood flow velocity and blood pressure [41], the aging effect on cerebral blood flow [37], and the pharmacokinetics in the intracranial arteries [36].…”

Section: ) Applicationsmentioning

confidence: 99%

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State-of-the-Art Computational Models of Circle of Willis With Physiological Applications: A Review

et al. 2020

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Background: Various computational models of the circle of Willis (CoW) have been developed to non-invasively estimate the blood flow and hemodynamic parameters in intracranial arteries for the assessment of clinical risks such as aneurysms, ischemia, and atherosclerotic plaque growth. This review aims to categorize the latest computational models of CoW and summarize the innovative techniques. Summary of Review: In traditional computational models of CoW, the computational complexity increased from zero-dimensional models to one-dimensional and three-dimensional models. The applications extend from estimating certain hemodynamic parameters to simulating local flow field. The innovative techniques include the combination of models with different dimensions, the extension of vascular structure including heart and veins, as well the addition of distal fractality, cerebral autoregulation, and intracranial pressure. There are some nontraditional models based on fluid-solid-interaction, control theory, and in-vitro experiments. In all kinds of models, the in-vivo data and non-Newtonian rheological models of blood have been widely applied to improve the accuracy of hemodynamic simulation. Conclusion: Firstly, the selection of model depends on its application scenario. The balance between computational complexity and physiological accuracy deserves further investigation. Secondly, the improvement of CoW models relies on the large-scale validations and the combination of various innovative modeling techniques. INDEX TERMS brain modeling, computational modeling, Circle of Willis (CoW), Windkessel effect, pulse wave, computational fluid dynamics (CFD), cerebral blood flow, intracranial arteries.

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Section: ) Methods To Improve Accuracymentioning

confidence: 99%

Section: ) Applicationsmentioning

confidence: 99%

State-of-the-Art Computational Models of Circle of Willis With Physiological Applications: A Review

et al. 2020

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“…However, the geometry is not the only factor for hemodynamic significance of the stenosis: collateral flows development, hemostasis, autoregulation may be important as well. While the functional stenosis severity index for atherosclerotic cerebral arteries is not well established (we mention only [71,150]), for coronary arteries the Fractional flow reserve (FFR) has become the golden standard [2,130]. The FFR based clinical decisions have reduced the number of costly high risk surgical procedures and the number of incidences caused disability or death [185].…”

Section: Clinical Applicationsmentioning

confidence: 99%

Mathematical modelling of atherosclerosis

Khatib¹,

Kafi²,

Sequeira³

et al. 2019

Math. Model. Nat. Phenom.

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The review presents the state of the art in the atherosclerosis modelling. It begins with the biological introduction describing the mechanisms of chronic inflammation of artery walls characterizing the development of atherosclerosis. In particular, we present in more detail models describing this chronic inflammation as a reaction-diffusion wave with regimes of propagation depending on the level of cholesterol (LDL) and models of rolling monocytes initializing the inflammation. Further development of this disease results in the formation of atherosclerotic plaque, vessel remodelling and possible plaque rupture due its interaction with blood flow. We review plaque-flow interaction models as well as reduced models (0D and 1D) of blood flow in atherosclerotic vasculature.

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Computational Modeling of Multiple Stenoses in Carotid and Vertebral Arteries

Cited by 2 publications

References 14 publications

State-of-the-Art Computational Models of Circle of Willis With Physiological Applications: A Review

State-of-the-Art Computational Models of Circle of Willis With Physiological Applications: A Review

Mathematical modelling of atherosclerosis

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