1D simulation of blood flow characteristics in the circle of Willis using THINkS

Huang, Gaofeng; Yu, Hongtao; Yang, Zifeng; Schwieterman, Ryan; Ludwig, Bryan

doi:10.1080/10255842.2018.1468439

Cited by 16 publications

(30 citation statements)

References 22 publications

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“…Autoregulation could be simulated by using flow-dependent resistance at the outlets [27]. Huang et al proposed a comprehensive cardiovascular system model which included a lumped model of the circulation between the heart and the lungs, 1D models of arteries and veins, and 0D Windkessel models of microcirculation [39].…”

Section: ) Methods To Improve Accuracymentioning

confidence: 99%

“…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: ) Methods To Improve Accuracymentioning

confidence: 99%

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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“…For the complete lumped models and parameters, we refer readers to the report of Huang and Muller . Blood pressure ( P ch ) in a cardiac chamber was expressed by Huang et al:

P_{ch} ((), t) = P_{e} + ((), E_{A} e ((), t) + E_{B}) ((), V_{ch} - V_{italicch, 0}) + S \frac{{italicdV}_{italicch}}{dt},

where E A and E B are the active and passive elastance respectively and V ch and V ch , 0 represent the chamber volume and dead chamber volume respectively. Here, e ( t ) is a normalized time‐varying function.…”

Section: Methodsmentioning

confidence: 99%

“…For the complete lumped models and parameters, we refer readers to the report of Huang and Muller. 31 Blood pressure (P ch ) in a cardiac chamber was expressed by Huang et al 33,35 :…”

Section: Heart and Pulmonary Circulationsmentioning

confidence: 99%

A multiscale computational modeling for cerebral blood flow with aneurysms and/or stenoses

Huang

Yang

et al. 2018

Numer Methods Biomed Eng

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A 1-dimensional (1D)-3-dimensional (3D) multiscale model for the human vascular network was proposed by combining a low-fidelity 1D modeling of blood circulation to account for the global hemodynamics with a detailed 3D simulation of a zonal vascular segment. The coupling approach involves a direct exchange of flow and pressure information at interfaces between the 1D and 3D models and thus enables patient-specific morphological models to be inserted into flow network with minimum computational efforts. The proposed method was validated with good agreements against 3 simplified test cases where experimental data and/or full 3D numerical solution were available. The application of the method in aneurysm and stenosis studies indicated that the deformation of the geometry caused by the diseases may change local pressure loss and as a consequence lead to an alteration of flow rate to the vessel segment.

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The circle of Willis revisited: Forebrain dehydration sensing facilitated by the anterior communicating artery

et al. 2020

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We hypothesize that threat of dehydration provided selection pressure for the evolutionary emergence and persistence of the anterior communicating artery (ACoA – the inter‐arterial connection that completes the Circle of Willis) in early amniotes. The ACoA is a hemodynamically insignificant artery, but, as we argue in this paper, its privileged position outside the blood‐brain barrier gives it a crucial sensing function for the osmolarity of the blood against the background of the rest of the brain, which efficiently protects itself from dehydration. Till now, the questions of why the ACoA evolved, and what its physiological function is, have remained unsatisfactorily answered. The traditional view—that the ACoA serves as a collateral source of vascularization in case of arterial stenosis—is anthropocentric, and not in accordance with principles of natural selection that apply more generally. Diseases underlying arterial stenosis are associated with aging and the human lifestyle, so this cannot explain why the ACoA formed hundreds of millions of years ago and persisted in amniotes to this day. The peculiar hemodynamic properties of the ACoA could be selected traits that allowed for more efficient forebrain detection of dehydration and complex behavioral responses to water loss, a major advantage in the survival of early amniotes. This hypothesis also explains insufficient hydration often seen in elderly humans.

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1D simulation of blood flow characteristics in the circle of Willis using THINkS

Cited by 16 publications

References 22 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

A multiscale computational modeling for cerebral blood flow with aneurysms and/or stenoses

The circle of Willis revisited: Forebrain dehydration sensing facilitated by the anterior communicating artery

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