Department of Bioengineering, University of Illinois at Chicago, USA.
Department of Neurosurgery, University of Illinois at Chicago, USA.
J Biomech. 2019 Apr 18;87:37-47. doi: 10.1016/j.jbiomech.2019.02.014. Epub 2019 Feb 25.
A computationally inexpensive mathematical solution approach using orthogonal collocations for space discretization with temporal Fourier series is proposed to compute subject-specific blood flow in distensible vessels of large cerebral arterial networks. Several models of wall biomechanics were considered to assess their impact on hemodynamic predictions. Simulations were validated against in vivo blood flow measurements in six human subjects. The average root-mean-square relative differences were found to be less than 4.3% for all subjects with a linear elastic wall model. This discrepancy decreased further in a viscoelastic Kelvin-Voigt biomechanical wall. The results provide support for the use of collocation-Fourier series approach to predict clinically relevant blood flow distribution and collateral blood supply in large portions of the cerebral circulation at reasonable computational costs. It thus opens the possibility of performing computationally inexpensive subject-specific simulations that are robust and fast enough to predict clinical results in real time on the same day.
提出了一种使用正交配置和时间傅里叶级数进行空间离散化的计算成本低廉的数学解决方案，以计算可扩张血管中大脑动脉网络的特定于主体的血流。考虑了几种壁生物力学模型来评估它们对血液动力学预测的影响。模拟结果与六个人体的体内血流测量进行了验证。对于具有线弹性壁模型的所有受试者，平均均方根相对差异小于 4.3%。在粘弹性 Kelvin-Voigt 生物力学壁中，这种差异进一步减小。结果为使用配置-傅里叶级数方法预测大脑循环的大部位的临床相关血流分布和侧支血液供应提供了支持，同时以合理的计算成本。因此，有可能进行计算成本低廉的特定于主体的模拟，这些模拟足够稳健和快速，可以在同一天实时预测临床结果。
