Mechanical characterization of porcine liver properties for computational simulation of indentation on cancerous tissue.

IF 0.8 4区 数学 Q4 BIOLOGY Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2020-12-15 DOI:10.1093/imammb/dqaa006
Yingqiao Yang, Kewei Li, Gerhard Sommer, Kai-Leung Yung, Gerhard A Holzapfel
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引用次数: 6

Abstract

An accurate characterization of soft biological tissue properties is essential for a realistic simulation of surgical procedures. Unconfined uniaxial compression tests with specimens affixed to the fixtures are often performed to characterize the stress-stretch curves of soft biological tissues, with which the material parameters can be obtained. However, the constrained boundary condition causes non-uniform deformation during the uniaxial test, posing challenges for accurate measurement of tissue deformation. In this study, we measured the deformation locally at the middle of liver specimens and obtained the corresponding stress-stretch curves. Since the effect of the constrained boundary condition on the local deformation of specimen is minimized, the stress-stretch curves are thus more realistic. Subsequently, we fitted the experimental stress-stretch curves with several constitutive models and found that the first-order Ogden hyperelastic material model was most suitable for characterizing the mechanical properties of porcine liver tissues. To further verify the characterized material properties, we carried out indentation tests on porcine liver specimens and compared the experimental data with computational results by using finite element simulations. A good agreement was achieved. Finally, we constructed computational models of liver tissue with a tumor and investigated the effect of the tumor on the mechanical response of the tissue under indentation. The computational results revealed that the liver specimen with tumor shows a stiffer response if the distance between the tumor and the indenter is small.

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癌变组织压痕计算模拟猪肝特性的力学特性。
软体生物组织特性的准确表征对于外科手术过程的真实模拟至关重要。在无侧限单轴压缩试验中,通常采用固定在夹具上的试样来表征生物软组织的应力-拉伸曲线,从而获得材料参数。然而,在单轴试验过程中,约束边界条件导致组织变形不均匀,给组织变形的精确测量带来了挑战。在本研究中,我们测量了肝脏标本中间的局部变形,得到了相应的应力-拉伸曲线。由于约束边界条件对试件局部变形的影响最小,因此应力-拉伸曲线更加真实。随后,我们用几种本构模型拟合了实验应力-拉伸曲线,发现一阶Ogden超弹性材料模型最适合表征猪肝组织的力学性能。为了进一步验证表征材料的性能,我们对猪肝样品进行了压痕试验,并通过有限元模拟将实验数据与计算结果进行了比较。达成了很好的协议。最后,我们建立了带肿瘤的肝组织的计算模型,并研究了肿瘤对压痕下组织力学响应的影响。计算结果表明,当肿瘤与压头之间的距离较小时,含肿瘤的肝脏标本的响应更强。
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来源期刊
CiteScore
2.20
自引率
0.00%
发文量
15
审稿时长
>12 weeks
期刊介绍: Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology
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