通过暗示Sisko模型参数方法,通过静脉扩张后动脉流动的血液的计算分析
Azad Hussain1, Muhammad Naveel Riaz Dar2, Arosha Iftikhar2
1Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan. azad.hussain@uog.edu.pk.
这项研究使用西斯科非牛顿流体模型模拟患病动脉中的血流. 研究结果揭示了狭窄和扩张如何影响血液流动的动态,有助于了解血管疾病.
科学领域:
- 生物医学工程 生物医学工程
- 流体动力学 流体动力学
- 计算生物学 计算生物学
背景情况:
- 动脉中的血液流动是复杂的,特别是在狭窄和扩张等条件下.
- 传统的牛顿流体模型不能充分反映血液的非牛顿行为.
- 了解血液动力学变化对于诊断和治疗血管疾病至关重要.
研究的目的:
- 为了研究血管内血流动力学,在血管内既有狭窄,又有扩张.
- 为了更准确地将血液模型作为西斯科非牛顿流体.
- 分析狭窄症严重程度,扩张程度和西斯科液体特性对血液动力学的影响.
主要方法:
- 利用有限元法 (FEM) 解决血液流动的控制方程.
- 开发了部分微分方程 (PDEs) 的弱公式.
- 应用的无滑,速度,热流和压力边界条件.
主要成果:
- 由于流动阻力,观察到血液速度增加和狭窄区域的压力下降.
- 鉴定出因粘性加热而导致狭窄区域的温度小幅上升.
- 证明西斯科模型参数的变化显著影响血液动力学模式.
结论:
- 西斯科模型提供了一个更准确的代表病变动脉的血液流动.
- 血液动力学变化,包括速度,压力和温度,受到狭窄和扩张的显著影响.
- 结果提供了关于血管病理生理学的见解,并可以为动脉疾病的诊断和治疗策略提供信息.
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