Department of Mechanical engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran.
Department of Mechanical Engineering, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
Comput Methods Programs Biomed. 2020 Aug;192:105442. doi: 10.1016/j.cmpb.2020.105442. Epub 2020 Mar 9.
Atherosclerosis-a condition in which an artery is constricted-alters blood flow in the artery, that can exacerbate the condition. Focusing on previous studies, it can be seen that the k-ε model has been used in the simulation. Therefore, the reverse flow on the back of stenosis is not well represented. In this study, the simulated results are much closer to clinical results, relying on the use of physiological pulses, and considering elasticity of the vessel wall, and the applying k-ω model. It can therefore be claimed that a much more accurate prediction will be made regarding the formation, development and progression of the disease.
Modeling biological systems usually contain many parameters, which cannot be calculated experimentally, or are too costly and time consuming. In addition, it is occasionally required to examine the influence of different physical variables, which, given the complexity of the governing equations, make analytical methods feasible (or very limited). The present study is an attempt to investigate the turbulent pulsatile blood flow in an elastic artery with single and double stenoses using a finite element software program, ADINA 8.8.
According to the results, the k - ω turbulence model predicted a larger reverse flow in the post-stenotic region and between the two stenoses in comparison with the k - ε model. In other words, the k - ω model results suggest that a larger region is prone to atherosclerosis. In addition, that the k - ε model predicted a greater maximum shear stress at the throat and a shorter reverse flow region (Mean WSS < 0) in both stenosis scenarios. In other words, relative to the k - ε model, the k - ω model underestimated the damage to the plaque and the risk of its rupture though it predicted new stenosis developing behind the previous one. It was observed that the presence of a double stenosis causes the upstream pressure to reach the critical value in less time. Velocity profiles revealed that in the stenosis throat, the maximum velocity exceeds the normal biological state, which may cause disorders in the blood circulation.
The artery wall displacement results are suggestive of the greater difference between the two turbulence models in the case with double stenosis compared with single stenosis. Moreover, the difference between the two turbulence models in double stenosis is minimized in both post-stenotic and pre-stenotic regions.
动脉狭窄会导致动脉血流受限,从而改变血流情况,使动脉狭窄进一步恶化。通过对以往研究的回顾可以发现,在模拟中通常使用 k-ε 模型。因此,狭窄部位背面的反流情况不能得到很好的体现。本研究使用生理脉冲,同时考虑血管壁的弹性,采用 k-ω 模型,使模拟结果更加接近临床结果。因此,对疾病的形成、发展和进展可以做出更准确的预测。
对生物系统进行建模通常包含许多无法通过实验计算或计算成本过高、时间过长的参数。此外,有时需要研究不同物理变量的影响,而在控制方程非常复杂的情况下,分析方法是不可行的(或者非常有限)。本研究尝试使用有限元软件 ADINA 8.8 对单狭窄和双狭窄弹性动脉内的湍流脉动血流进行研究。
结果表明,与 k-ε 模型相比,k-ω 湍流模型预测狭窄后区域和两个狭窄之间的反流更大。也就是说,k-ω 模型结果表明,更大的区域容易发生动脉粥样硬化。此外,k-ε 模型预测在两个狭窄情况下,在狭窄的喉部处会出现更大的最大剪切力和更短的反流区域(平均 WSS<0)。也就是说,与 k-ε 模型相比,k-ω 模型低估了斑块的损伤及其破裂的风险,尽管它预测了在先前狭窄的后面会形成新的狭窄。观察到双狭窄会导致上游压力在更短的时间内达到临界值。速度分布表明,在狭窄的喉部,最大速度超过了正常的生物状态,这可能会导致血液循环紊乱。
在双狭窄情况下,与单狭窄相比,两种湍流模型之间的动脉壁位移结果差异更大。此外,在双狭窄情况下,两种湍流模型之间的差异在狭窄后和狭窄前区域都最小化。