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Transversely isotropic properties of porcine liver tissue: experiments and constitutive modelling

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Abstract

Knowledge of the biomechanical properties of soft tissue, such as liver, is important in modelling computer aided surgical procedures. Liver tissue does not bear mechanical loads, and, in numerical simulation research, is typically assumed to be isotropic. Nevertheless, a typical biological soft tissue is anisotropic. In vitro uniaxial tension and compression experiments were conducted on porcine cylindrical and cubical liver tissue samples respectively assuming a simplistic architecture of liver tissue with its constituent lobule and connective tissues components. With the primary axis perpendicular to the cross sectional surface of samples, the tissue is stiffer with tensile or compressive force in the axial direction compared to that of the transverse direction. At 20% strain, about twice as much force is required to elongate a longitudinal tissue sample than that of a transverse sample. Results of the study suggest that liver tissue is transversely isotropic. A combined strain energy based constitutive equation for transversely isotropic material is proposed. The improved capability of this equation to model the experimental data compared to its previously disclosed isotropic version suggests that the assumption on the fourth invariant in the constitutive equation is probably correct and that anisotropy properties of liver tissue should be considered in surgical simulation.

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Acknowledgments

This work is partially supported by “Research for the Future Program (JSPS-RFTF 99I00904)” funded by Japan Society for the Promotion of Science and “Research on medical devices for analyzing,supporting and substituting the function of human body” funded by Ministryof Health, Labour and Welfare. The first author is also grateful to Prof. James H. Anderson of Johns Hopkins University School of Medicine, USA for his valuable comments, and his help in ensuring that the grammar of this manuscript is correct.

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Authors and Affiliations

  1. Biomedical Precision Engineering Lab, Graduate School of Frontier Sciences, The University of Tokyo, Tokyo, Japan

    E. Kobayashi & I. Sakuma

  2. Computational Biomechanics Lab, Graduate School of Frontier Sciences, The University of Tokyo, Tokyo, Japan

    X. Chen & T. Hisada

  3. Department of Mechanical Engineering, Faculty of Engineering, National University of Singapore, Singapore, Singapore

    C. Chui

  4. Faculty of Medical Sciences, Kyushu University, Tokyo, Japan

    X. Chen

  5. Centre for Biomedical Materials Applications and Technology, National University of Singapore, E3-05-23, Engineering Drive 3, Singapore, Singapore, 119260

    C. Chui

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  1. C. Chui
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  2. E. Kobayashi
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  4. T. Hisada
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  5. I. Sakuma
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Correspondence to C. Chui.

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Chui, C., Kobayashi, E., Chen, X. et al. Transversely isotropic properties of porcine liver tissue: experiments and constitutive modelling. Med Bio Eng Comput 45, 99–106 (2007). https://doi.org/10.1007/s11517-006-0137-y

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  • DOI: https://doi.org/10.1007/s11517-006-0137-y

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