Department of Pediatrics-Cardiology, Baylor College of Medicine and Texas Children's Hospital, Houston, TX, USA.
Department of Computational and Applied Mathematics, Rice University, Houston, TX, USA.
Biomech Model Mechanobiol. 2017 Dec;16(6):2093-2112. doi: 10.1007/s10237-017-0940-4. Epub 2017 Jul 21.
We formulate and study a new mathematical model of pulmonary hypertension. Based on principles of fluid and elastic dynamics, we introduce a model that quantifies the stiffening of pulmonary vasculature (arteries and arterioles) to reproduce the hemodynamics of the pulmonary system, including physiologically consistent dependence between compliance and resistance. This pulmonary model is embedded in a closed-loop network of the major vessels in the body, approximated as one-dimensional elastic tubes, and zero-dimensional models for the heart and other organs. Increasingly severe pulmonary hypertension is modeled in the context of two extreme scenarios: (1) no cardiac compensation and (2) compensation to achieve constant cardiac output. Simulations from the computational model are used to estimate cardiac workload, as well as pressure and flow traces at several locations. We also quantify the sensitivity of several diagnostic indicators to the progression of pulmonary arterial stiffening. Simulation results indicate that pulmonary pulse pressure, pulmonary vascular compliance, pulmonary RC time, luminal distensibility of the pulmonary artery, and pulmonary vascular impedance are much better suited to detect the early stages of pulmonary hypertension than mean pulmonary arterial pressure and pulmonary vascular resistance, which are conventionally employed as diagnostic indicators for this disease.
我们提出并研究了一种新的肺动脉高压数学模型。基于流体和弹性动力学原理,我们引入了一个模型,该模型量化了肺血管(动脉和小动脉)的僵硬程度,以再现肺系统的血液动力学,包括顺应性和阻力之间具有生理一致性的依赖性。该肺模型嵌入在身体主要血管的闭环网络中,近似为一维弹性管,以及心脏和其他器官的零维模型。在两种极端情况下模拟日益严重的肺动脉高压:(1)无心脏代偿和(2)代偿以实现恒定的心输出量。计算模型的模拟结果用于估计心脏工作量,以及几个位置的压力和流量迹线。我们还量化了几个诊断指标对肺动脉僵硬进展的敏感性。模拟结果表明,肺动脉脉冲压、肺血管顺应性、肺 RC 时间、肺动脉腔扩张性和肺血管阻抗比平均肺动脉压和肺血管阻力更适合检测肺动脉高压的早期阶段,后者通常被用作该疾病的诊断指标。