Research ArticleOriginal Article
Open Access

Intercorrelations of morphology with hemodynamics in intracranial aneurysms in computational fluid dynamics

Tianlun Qiu, Guoliang Jin, Wuqiao Bao and Haitao Lu
Neurosciences Journal July 2017, 22 (3) 205-212; DOI: https://doi.org/10.17712/nsj.2017.3.20160452

Article Figures & Data

Figures

  • Figure 1
    Figure 1

    Two-dimensional morphological assessments of aneurysms A) The longest dimension from the center of the neck to the dome tip was the height of the aneurysm (Hmax). The aneurysm was divided into top and neck parts, half and half, according to Hmax and the parting line parallel to the neck plane. The average value of both sides of the aneurysm neck was D1+D2/2 (average parent artery diameter). Aspect ratio (height/Dneck) and size ratio (height /Dparent) are considered as the 2 main morphological indices. B) Hemodynamics parameters of vessel before and after aneurysm formation.

  • Figure 2
    Figure 2

    Modeling of aneurysms and hemodynamics analysis A) Parent artery model before and after aneurysm, B) Streamline distribution in different parts of the vessel before and after aneurysm formation, C) Wall shear stress (WSS) distribution in different parts of the vessel before and after aneurysm formation, D) Wall pressure (WP) in different parts of the vessel before and after aneurysm formation, E) Streamline velocity diffusion in parent artery and aneurysm.

  • Figure 3
    Figure 3

    Morphological effect on wall shear stress in intracranial aneurysms A) Wall shear stress (WSS) of the aneurysm. Red represents higher WSS, blue represents lower WSS. There was a negative significant correlation between aneurysm WSS and aspect ratio (height/neck diameter). Aneurysm WSS is high under low aspect ratio. On the contrary, high aspect ratio result in low aneurysm WSS. B) Although size ratio (height/diameter of the parent artery) are both high in the 2 figures, the resulting WSS is not similar, suggesting that aneurysm WSS and size ratio are not significantly correlated.

Tables

  • Table 1

    Wall shear stress of the different parts of the artery before and after aneurysm formation.

    VariablesNear vessel surface before aneurysmPre-aneurysm surfaceAneurysm surfaceNear vessel surface after aneurysm
    WSS (Pa)7.43±3.839.92±5.585.18±3.847.87±4.76
    VariableAneurysm-artery
    WSS ratio    		Aspect ratioSize ratio
    Ratio0.67±0.271.62±0.841.98±1.13

    • WSS - wall shear stress

  • Table 2

    Wall pressure of the different parts of the artery before and after aneurysm formation.

    VariablesNear vessel surface before aneurysmPre-aneurysm surfaceAneurysm surface
    WP (Pa)
    Median862.38880.01902.32
    Inter-quartile range405.53547.03474.98

    • WP - wall pressure

  • Table 3

    Paired comparisons for WSS and WP of different parts of vessel before and after aneurysm formation.

    Paired comparisonPre-aneurysm surface and near vessel before aneurysmPre-aneurysm surface and aneurysm surfaceAneurysm surface and Near vessel after aneurysm
    WSS<0.001*<0.001*<0.001*
    WP0.649†0.719†

    • WSS - wall shear stress, WP - wall pressure,

    • ↵* t-test,

    • ↵† Wilcoxon rank-sum test

  • Table 4

    Correlation analyses between hemodynamic and geometrical morphology variables.

    VariablesAneurysm WSS and aspect ratioAneurysm WSS and size ratioAneurysm-artery WSS ratio and size ratioAneurysm-artery WSS ratio and aspect ratio
    Pearson r-0.296*-0.17-0.322*-0.416**
    P-value0.0430.2530.0280.004

    • ↵* significant correlation at p<0.05,

    • ↵** significant correlation at p<0.01, WSS - wall shear stress

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