Coccarelli Alberto, Boileau Etienne, Parthimos Dimitris, Nithiarasu Perumal
Wales Heart Research Institute, School of Medicine, Cardiff University, Cardiff, UK.
Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Swansea, UK.
Biomech Model Mechanobiol. 2016 Oct;15(5):1173-90. doi: 10.1007/s10237-015-0751-4. Epub 2015 Dec 26.
In the present work, an elaborate one-dimensional thermofluid model for a human body is presented. By contrast to the existing pure conduction-/perfusion-based models, the proposed methodology couples the arterial fluid dynamics of a human body with a multi-segmental bioheat model of surrounding solid tissues. In the present configuration, arterial flow is included through a network of elastic vessels. More than a dozen solid segments are employed to represent the heat conduction in the surrounding tissues, and each segment is constituted by a multilayered circular cylinder. Such multi-layers allow flexible delineation of the geometry and incorporation of properties of different tissue types. The coupling of solid tissue and fluid models requires subdivision of the arterial circulation into large and small arteries. The heat exchange between tissues and arterial wall occurs by convection in large vessels and by perfusion in small arteries. The core region, including the heart, provides the inlet conditions for the fluid equations. In the proposed model, shivering, sweating, and perfusion changes constitute the basis of the thermoregulatory system. The equations governing flow and heat transfer in the circulatory system are solved using a locally conservative Galerkin approach, and the heat conduction in the surrounding tissues is solved using a standard implicit backward Euler method. To investigate the effectiveness of the proposed model, temperature field evolutions are monitored at different points of the arterial tree and in the surrounding tissue layers. To study the differences due to flow-induced convection effects on thermal balance, the results of the current model are compared against those of the widely used modelling methodologies. The results show that the convection significantly influences the temperature distribution of the solid tissues in the vicinity of the arteries. Thus, the inner convection has a more predominant role in the human body heat balance than previously thought. To demonstrate its capabilities, the proposed new model is used to study different scenarios, including thermoregulation inactivity and variation in surrounding atmospheric conditions.
在本研究中,提出了一种精细的人体一维热流体模型。与现有的基于纯传导/灌注的模型不同,所提出的方法将人体的动脉流体动力学与周围固体组织的多段生物热模型相结合。在当前配置中,通过弹性血管网络纳入动脉血流。采用十几个固体段来表示周围组织中的热传导,每个段由多层圆柱体构成。这种多层结构允许灵活地描绘几何形状并纳入不同组织类型的特性。固体组织模型和流体模型的耦合需要将动脉循环细分为大动脉和小动脉。组织与动脉壁之间的热交换在大血管中通过对流发生,在小动脉中通过灌注发生。包括心脏在内的核心区域为流体方程提供入口条件。在所提出的模型中,颤抖、出汗和灌注变化构成了体温调节系统的基础。使用局部守恒伽辽金方法求解循环系统中控制流动和传热的方程,使用标准隐式向后欧拉方法求解周围组织中的热传导。为了研究所提出模型的有效性,在动脉树的不同点和周围组织层监测温度场演变。为了研究流动引起的对流效应对热平衡的影响差异,将当前模型的结果与广泛使用的建模方法的结果进行比较。结果表明,对流显著影响动脉附近固体组织的温度分布。因此,内部对流在人体热平衡中的作用比以前认为的更为重要。为了展示其能力,所提出的新模型用于研究不同场景,包括体温调节不活动和周围大气条件的变化。