多孔介质流固耦合新理论在超声评价生物弹性体组织重建中的应用
A new theory of fluid-solid coupling in a porous medium for application to the ultrasonic evaluation of tissue remodeling using bioelastomers
摘要：
由于日益增长的健康需求，生物弹性体在组织修复领域已显示出巨大的价值和潜力。需要改进的非侵入性方法来监测由生物弹性体辅助的组织发育。在本文中，我们提出了一种新的理论，流固耦合在多孔介质中的应用超声评价组织重建使用生物弹性体。在流体饱和多孔固体的常规描述中使用的固体和液体位移相等的常见假设不能应用于软介质，例如生物弹性体。我们修改了Biot的地声理论，允许流体和固体之间的相对运动，并推导出一个特征流固耦合参数的表达式。与传统方法不同的是，新理论将超声剪切波弹性成像所观测到的剪切波传播速度视为已知量，并将耦合参数的计算值用于评价组织修复状态。通过实例分析验证了模型的有效性。确定了模型适用的条件。然而，需要进一步发展的理论，以提取动态参数，可用于监测整个组织重塑过程。在本文中，一个理论的方法，可用于分析力学的组织修复。该理论在脱细胞原位组织工程领域具有潜在的应用前景，可用于无创监测组织再生和生物弹性体降解的复杂机械重塑过程。
英文摘要：
Bioelastomers have demonstrated tremendous value and potential in the field of tissue repair due to increasing health demands. Improved non-invasive methods are required for monitoring tissue development assisted by bioelastomers. In this paper, we present a novel theory of fluid-solid coupling in a porous medium for application to the ultrasonic evaluation of tissue remodeling using bioelastomers. The common assumption of equal solid and liquid displacements used in the conventional description of a fluid-saturated porous solid cannot be applied to soft media, such as bioelastomers. We revise the geoacoustic theory of Biot to allow for relative motion between a fluid and a solid in an aggregate and derive an expression for a characteristic fluid-solid coupling parameter. Unlike the conventional method, the propagation speed of shear waves observed by ultrasound shear wave elastography is considered a known quantity in the novel theory, and the calculated value of the coupling parameter is used to evaluate the status of tissue repair. The model is validated by analyzing selected cases. The conditions under which the model can be applied are identified. However, further development of the theory is required to extract dynamic parameters that can be used to monitor the entire tissue remodeling process. In this paper, a theoretical approach is developed that can be used to analyze the mechanics of tissue repair. The theory has potential applications in the field of acellular in situ tissue engineering for non-invasive monitoring of the complex mechanical remodeling process of tissue regeneration and bioelastomer degradation.
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