Safaei Soroush, Blanco Pablo J, Müller Lucas O, Hellevik Leif R, Hunter Peter J
Auckland Bioengineering Institute, University of Auckland, Auckland, New Zealand.
National Laboratory for Scientific Computing, Petrópolis, Brazil.
Front Physiol. 2018 Mar 2;9:148. doi: 10.3389/fphys.2018.00148. eCollection 2018.
We propose a detailed CellML model of the human cerebral circulation that runs faster than real time on a desktop computer and is designed for use in clinical settings when the speed of response is important. A lumped parameter mathematical model, which is based on a one-dimensional formulation of the flow of an incompressible fluid in distensible vessels, is constructed using a bond graph formulation to ensure mass conservation and energy conservation. The model includes arterial vessels with geometric and anatomical data based on the ADAN circulation model. The peripheral beds are represented by lumped parameter compartments. We compare the hemodynamics predicted by the bond graph formulation of the cerebral circulation with that given by a classical one-dimensional Navier-Stokes model working on top of the whole-body ADAN model. Outputs from the bond graph model, including the pressure and flow signatures and blood volumes, are compared with physiological data.
我们提出了一个详细的人体脑循环细胞模型,该模型在台式计算机上运行速度比实时速度快,并且设计用于响应速度至关重要的临床环境。基于不可压缩流体在可扩张血管中流动的一维公式构建了一个集总参数数学模型,使用键合图公式来确保质量守恒和能量守恒。该模型包括基于ADAN循环模型的具有几何和解剖数据的动脉血管。外周床由集总参数隔室表示。我们将脑循环键合图公式预测的血流动力学与在全身ADAN模型之上运行的经典一维纳维-斯托克斯模型给出的血流动力学进行比较。将键合图模型的输出,包括压力和流量特征以及血容量,与生理数据进行比较。