College of Engineering, Swansea University, Swansea, UK.
Applied Technologies, McLaren Technology Centre, Woking, UK.
Int J Numer Method Biomed Eng. 2021 Oct;37(10):e3497. doi: 10.1002/cnm.3497. Epub 2021 May 31.
This study creates a physiologically realistic virtual patient database (VPD), representing the human arterial system, for the primary purpose of studying the effects of arterial disease on haemodynamics. A low dimensional representation of an anatomically detailed arterial network is outlined, and a physiologically realistic posterior distribution for its parameters constructed through the use of a Bayesian approach. This approach combines both physiological/geometrical constraints and the available measurements reported in the literature. A key contribution of this work is to present a framework for including all such available information for the creation of virtual patients (VPs). The Markov Chain Monte Carlo (MCMC) method is used to sample random VPs from this posterior distribution, and the pressure and flow-rate profiles associated with each VP computed through a physics based model of pulse wave propagation. This combination of the arterial network parameters (representing a virtual patient) and the haemodynamics waveforms of pressure and flow-rates at various locations (representing functional response and potential measurements that can be acquired in the virtual patient) makes up the VPD. While 75,000 VPs are sampled from the posterior distribution, 10,000 are discarded as the initial burn-in period of the MCMC sampler. A further 12,857 VPs are subsequently removed due to the presence of negative average flow-rate, reducing the VPD to 52,143. Due to undesirable behaviour observed in some VPs-asymmetric under- and over-damped pressure and flow-rate profiles in left and right sides of the arterial system-a filter is proposed to remove VPs showing such behaviour. Post application of the filter, the VPD has 28,868 subjects. It is shown that the methodology is appropriate by comparing the VPD statistics to those reported in literature across real populations. Generally, a good agreement between the two is found while respecting physiological/geometrical constraints.
本研究创建了一个生理上逼真的虚拟患者数据库(VPD),代表人体动脉系统,主要用于研究动脉疾病对血液动力学的影响。概述了一个解剖上详细的动脉网络的低维表示,并通过使用贝叶斯方法构建了其参数的生理上逼真的后验分布。该方法结合了生理/几何约束和文献中报告的可用测量值。这项工作的一个关键贡献是提出了一个框架,用于为创建虚拟患者(VP)包含所有这些可用信息。马尔可夫链蒙特卡罗(MCMC)方法用于从后验分布中抽样随机 VP,并通过基于物理的脉搏波传播模型计算与每个 VP 相关联的压力和流量率分布。这种动脉网络参数(代表虚拟患者)与压力和流量率的血液动力学波形的组合(代表可以在虚拟患者中获得的功能响应和潜在测量值)构成了 VPD。虽然从后验分布中采样了 75000 个 VP,但作为 MCMC 采样器的初始烧入期丢弃了 10000 个 VP。随后由于存在负平均流量率,又删除了 12857 个 VP,从而将 VPD 减少到 52143 个。由于在一些 VP 中观察到不良行为-动脉系统左右两侧的压力和流量率曲线不对称过阻尼和欠阻尼,因此提出了一种滤波器来去除显示这种行为的 VP。应用滤波器后,VPD 有 28868 个主题。通过将 VPD 统计数据与真实人群中的文献报告进行比较,证明了该方法是合适的。通常,在尊重生理/几何约束的前提下,两者之间存在很好的一致性。