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巩膜组织的机电特性建模与实验研究;基于各向异性超弹性本构关系的 CEM 模型。

Modeling and experimental investigation of electromechanical properties of scleral tissue; a CEM model using an anisotropic hyperelastic constitutive relation.

机构信息

Mechanical and Industrial Engineering Department, University of Illinois at Chicago, 2039 Engineering Research Facility, 842 West Taylor St, Chicago, IL, 60607, USA.

出版信息

Biomech Model Mechanobiol. 2022 Oct;21(5):1325-1337. doi: 10.1007/s10237-022-01590-5. Epub 2022 Aug 12.

Abstract

The sclera is a soft tissue primarily consisting of collagen fibers, elastin, and proteoglycans. The proteoglycans are composed of a core protein and negatively charged glycosaminoglycan side chains. The fixed electric charges inside the scleral extracellular matrix play a key role in its swelling and are expected to cause the tissue to deform in response to an electric field. However, the electroactive response of the sclera has not yet been investigated. The present work experimentally demonstrates that sclera behaves similar to an anionic electrosensitive hydrogel and develops a chemo-electro-mechanical (CEM) mathematical framework for its electromechanical response. In the numerical model, a hyperelastic constitutive law with distributed collagen fibers is used to capture the nonlinear mechanical properties of the sclera, and the coupled Poisson-Nernst-Planck equations represent the distribution of mobile ions throughout the domain. After calibrating the proposed numerical CEM model against the experimental measurements, we employ it to investigate the effects of different parameters on the scleral electromechanical response including the voltage and fixed charge density. The experimental and numerical findings of the present study confirm that sclera behaves as an electroactive hydrogel and provide new insight into the mechanical response of this ocular tissue.

摘要

巩膜是一种主要由胶原纤维、弹性蛋白和蛋白聚糖组成的软组织。蛋白聚糖由核心蛋白和带负电荷的糖胺聚糖侧链组成。巩膜细胞外基质中的固定电荷在其肿胀中起关键作用,预计会导致组织响应电场而变形。然而,巩膜的电活性响应尚未得到研究。本工作通过实验证明巩膜类似于阴离子电敏感水凝胶,并为其机电响应开发了化学-电-机械(CEM)数学框架。在数值模型中,使用带有分布式胶原纤维的超弹性本构定律来捕捉巩膜的非线性力学特性,而耦合的泊松-纳斯特-普朗克方程则表示整个域中可移动离子的分布。在根据实验测量校准所提出的数值 CEM 模型后,我们将其用于研究不同参数(包括电压和固定电荷密度)对巩膜机电响应的影响。本研究的实验和数值结果证实巩膜表现为电活性水凝胶,并为该眼组织的力学响应提供了新的见解。

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