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可压缩I型胶原蛋白水凝胶的本构模型

Constitutive modeling of compressible type-I collagen hydrogels.

作者信息

Lane Brooks A, Harmon Katrina A, Goodwin Richard L, Yost Michael J, Shazly Tarek, Eberth John F

机构信息

University of South Carolina, Biomedical Engineering Program, Columbia, SC, USA.

University of South Carolina, Biomedical Sciences, Greenville, SC, USA.

出版信息

Med Eng Phys. 2018 Mar;53:39-48. doi: 10.1016/j.medengphy.2018.01.003. Epub 2018 Feb 1.

DOI:10.1016/j.medengphy.2018.01.003
PMID:29396019
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6050051/
Abstract

Collagen hydrogels have been used ubiquitously as engineering biomaterials with a biphasic network of fibrillar collagen and aqueous-filled voids that contribute to a complex, compressible, and nonlinear mechanical behavior - not well captured within the infinitesimal strain theory. In this study, type-I collagen, processed from a bovine corium, was fabricated into disks at 2, 3, and 4% (w/w) and exposed to 0, 10, 10, and 10 microjoules of ultraviolet light or enzymatic degradation via matrix metalloproteinase-2. Fully hydrated gels were subjected to unconfined, aqueous, compression testing with experimental data modeled within a continuum mechanics framework by employing the uncommon Blatz-Ko material model for porous elastic materials and a nonlinear form of the Poisson's ratio. From the Generalized form, the Special Blatz-Ko, compressible Neo-Hookean, and incompressible Mooney-Rivlin models were derived and the best-fit material parameters reported for each. The average root-mean-squared (RMS) error for the General (RMS = 0.13 ± 0.07) and Special Blatz-Ko (RMS = 0.13 ± 0.07) were lower than the Neo-Hookean (RMS = 0.23 ± 0.10) and Mooney-Rivlin (RMS = 0.18 ± 0.08) models. We conclude that, with a single fitted-parameter, the Special Blatz-Ko sufficiently captured the salient features of collagen hydrogel compression over most examined formulations and treatments.

摘要

胶原水凝胶作为工程生物材料已被广泛应用,它具有由纤维状胶原和充满水的空隙组成的双相网络,这种网络导致了复杂、可压缩和非线性的力学行为,而这种行为在小应变理论中无法很好地描述。在本研究中,从牛真皮中提取的I型胶原被制成2%、3%和4%(w/w)的圆盘,并分别暴露于0、10、20和30微焦耳的紫外线下,或通过基质金属蛋白酶-2进行酶降解。将完全水合的凝胶进行无侧限的水下压缩测试,并通过采用用于多孔弹性材料的不常见的布拉茨-科材料模型和泊松比的非线性形式,在连续介质力学框架内对实验数据进行建模。从广义形式中,推导出了特殊布拉茨-科、可压缩新胡克和不可压缩穆尼-里夫林模型,并报告了每个模型的最佳拟合材料参数。广义模型(均方根误差RMS = 0.13±0.07)和特殊布拉茨-科模型(RMS = 0.13±0.07)的平均均方根误差低于新胡克模型(RMS = 0.23±0.10)和穆尼-里夫林模型(RMS = 0.18±0.08)。我们得出结论,对于大多数研究的配方和处理,特殊布拉茨-科模型只需一个拟合参数就能充分捕捉胶原水凝胶压缩的显著特征。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/d22706449aa4/nihms934452f7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/2dedba27206f/nihms934452f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/7955860dc470/nihms934452f2.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/849a860a5fab/nihms934452f4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/ca7d40f48e10/nihms934452f5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/1ca15a43c36d/nihms934452f6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/d22706449aa4/nihms934452f7.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/2dedba27206f/nihms934452f1.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/7955860dc470/nihms934452f2.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/7cfb086d92f7/nihms934452f3.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/849a860a5fab/nihms934452f4.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/ca7d40f48e10/nihms934452f5.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/1ca15a43c36d/nihms934452f6.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/f382/6050051/d22706449aa4/nihms934452f7.jpg

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