损伤软生物组织愈合统一连续模型的热力学框架
A thermodynamic framework for unified continuum models for the healing of damaged soft biological tissue
摘要：
当它们被损坏或受伤时，软生物组织能够自我修复和愈合。力学在愈合过程中是至关重要的，因为受损的细胞外基质（ECM）往往被新的未受损的ECM取代，支持稳态应力。计算建模通常用于模拟愈合过程。然而，迫切需要有一个统一的热力学理论的愈合。从连续介质损伤力学的观点来看，与愈合过程相关的一些关键参数，如新生软组织的体积分数和生长变形，可以看作是内变量，并具有相应的演化方程。本文的目的是建立这个统一的框架，从热力学的启发连续损伤模型的软生物组织的愈合。所提出的模型的显着优点是，没有\textit{ad hoc}方程是描述愈合过程所必需的。因此，这种新的模型更简洁，并提供了一种通用的方法来模拟愈合过程。三个数值例子来证明所提出的模型的有效性，这是在很好的协议与现有的工作，包括在动脉球囊血管成形术与纤维帽的应用。
英文摘要：
When they are damaged or injured, soft biological tissues are able to self-repair and heal. Mechanics is critical during the healing process, as the damaged extracellular matrix (ECM) tends to be replaced with a new undamaged ECM supporting homeostatic stresses. Computational modeling has been commonly used to simulate the healing process. However, there is a pressing need to have a unified thermodynamics theory for healing. From the viewpoint of continuum damage mechanics, some key parameters related to healing processes, for instance, the volume fraction of newly grown soft tissue and the growth deformation, can be regarded as internal variables and have related evolution equations. This paper is aiming to establish this unified framework inspired by thermodynamics for continuum damage models for the healing of soft biological tissues. The significant advantage of the proposed model is that no \textit{ad hoc} equations are required for describing the healing process. Therefore, this new model is more concise and offers a universal approach to simulate the healing process. Three numerical examples are provided to demonstrate the effectiveness of the proposed model, which is in good agreement with the existing works, including an application for balloon angioplasty in an arteriosclerotic artery with a fiber cap.
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