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高水合胶原蛋白水凝胶的孔隙弹性建模:实验结果与使用定制和商业有限元求解器的数值模拟对比

Poroelastic Modeling of Highly Hydrated Collagen Hydrogels: Experimental Results vs. Numerical Simulation With Custom and Commercial Finite Element Solvers.

作者信息

Castro André P G, Yao Jiang, Battisti Tom, Lacroix Damien

机构信息

IDMEC, Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal.

Department of Mechanical Engineering, Insigneo Institute for in silico Medicine, University of Sheffield, Sheffield, United Kingdom.

出版信息

Front Bioeng Biotechnol. 2018 Oct 23;6:142. doi: 10.3389/fbioe.2018.00142. eCollection 2018.

Abstract

This study presents a comparison between the performances of two Finite Element (FE) solvers for the modeling of the poroelastic behavior of highly hydrated collagen hydrogels. Characterization of collagen hydrogels has been a widespread challenge since this is one of the most used natural biomaterials for Tissue Engineering (TE) applications. V-Biomech® is a free custom FE solver oriented to soft tissue modeling, while Abaqus® is a general-purpose commercial FE package which is widely used for biomechanics computational modeling. Poroelastic simulations with both solvers were compared to two experimental protocols performed by Busby et al. (2013) and Chandran and Barocas (2004), also using different implementations of the frequently used Neo-Hookean hyperelastic model. The average differences between solvers outputs were under 5% throughout the different tests and hydrogel properties. Thus, differences were small enough to be considered negligible and within the variability found experimentally from one sample to another. This work demonstrates that constitutive modeling of soft tissues, such as collagen hydrogels can be achieved with either V-Biomech or Abaqus standard options (without user-subroutine), which is important for the biomechanics and biomaterials research community. V-Biomech has shown its potential for the validation of biomechanical characterization of soft tissues, while Abaqus' versatility is useful for the modeling and analysis of TE applications where other complex phenomena may also need to be captured.

摘要

本研究对两种有限元(FE)求解器在模拟高度水合胶原蛋白水凝胶的多孔弹性行为时的性能进行了比较。胶原蛋白水凝胶的表征一直是一个广泛存在的挑战,因为它是组织工程(TE)应用中最常用的天然生物材料之一。V-Biomech®是一款面向软组织建模的免费定制有限元求解器,而Abaqus®是一个广泛用于生物力学计算建模的通用商业有限元软件包。使用这两种求解器进行的多孔弹性模拟与Busby等人(2013年)以及Chandran和Barocas(2004年)所执行的两个实验方案进行了比较,同时还使用了常用的Neo-Hookean超弹性模型的不同实现方式。在不同的测试和水凝胶特性中,求解器输出之间的平均差异均在5%以下。因此,差异小到可以忽略不计,且处于从一个样本到另一个样本的实验发现的变异性范围内。这项工作表明,诸如胶原蛋白水凝胶之类的软组织的本构建模可以通过V-Biomech或Abaqus标准选项(无需用户子程序)来实现,这对生物力学和生物材料研究界来说很重要。V-Biomech已显示出其在验证软组织生物力学表征方面的潜力,而Abaqus的通用性对于可能还需要捕捉其他复杂现象的TE应用的建模和分析很有用。

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