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Journal of Zhejiang University SCIENCE B
ISSN 1673-1581(Print), 1862-1783(Online), Monthly
2014 Vol.15 No.4 P.375-381
Analyzing and modeling rheological behavior of liver fibrosis in rats using shear viscoelastic moduli
Abstract: The process of liver fibrosis changes the rheological properties of liver tissue. This study characterizes and compares liver fibrosis stages from F0 to F4 in rats in terms of shear viscoelastic moduli. Here two viscoelastic models, the Zener model and Voigt model, were applied to experimental data of rheometer tests and then values of elasticity and viscosity were estimated for each fibrosis stage. The results demonstrate that moderate fibrosis (≤F2) has a good correlation with liver viscoelasticity. The mean Zener elasticity E1 increases from (0.452±0.094) kPa (F0) to (1.311±0.717) kPa (F2), while the mean Voigt elasticity E increases from (0.618±0.089) kPa (F0) to (1.701±0.844) kPa (F2). The mean Zener viscosity increases from (3.499±0.186) Pa·s (F0) to (4.947±1.811) Pa·s (F2) and the mean Voigt viscosity increases from (3.379±0.316) Pa·s (F0) to (4.625±1.296) Pa·s (F2). Compared with viscosity, the elasticity shows smaller variations at stages F1 and F2 no matter what viscoelastic model is used. Therefore, the estimated elasticity is more effective than viscosity for differentiating the fibrosis stages from F0 to F2.
Key words: Biological mechanics, Rheological properties, Liver fibrosis, Viscoelasticity, Shear modulus, Elasticity, Viscosity, Zener model, Voigt model
创新要点:本文利用剪切黏弹性模量描绘并比较了大鼠肝脏F0期到F4期的纤维化过程。
研究方法:两个黏弹性模型,即Zener模型和Voigt模型用于解释流变力学测试得到的实验数据,由此得到每个纤维化分期的肝脏弹性和黏性值。
重要结论:肝脏中度纤维化(≤F2期)与黏弹性值密切相关。Zener模型的弹性均值E1从F0期的(0.452±0.094) kPa增加到F2期的(1.311±0.717) kPa,而Voigt模型的弹性均值E从F0期的(0.618±0.089) kPa增加到 F2期的(1.701±0.844) kPa。Zener模型的黏性均值从F0期的(3.499±0.186) Pa•s 增加到F2期的(4.947±1.811) Pa•s,而Voigt模型的黏性均值从F0期的(3.379±0.316) Pa•s 增加到F2期的(4.625±1.296) Pa•s。无论选用哪个黏弹性模型,在F1期和F2期,肝脏弹性值的标准差比黏性值的标准差变化要小。因此,测得的弹性比黏性更有效地区分肝纤维化F0期到F2期。
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DOI:
10.1631/jzus.B1300121
CLC number:
Q66; R318.01; R333.4
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On-line Access:
2024-08-27
Received:
2023-10-17
Revision Accepted:
2024-05-08
Crosschecked:
2014-03-13