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Research Papers

A Priori Assessment of Adipose Tissue Mechanical Testing by Global Sensitivity Analysis

[+] Author and Article Information
Hosein Naseri

Mechanics and Maritime Sciences,
Chalmers University of Technology,
Gothenburg SE-412 96, Sweden
e-mail: hosein.naseri@chalmers.se

Håkan Johansson

Mechanics and Maritime Sciences,
Chalmers University of Technology,
Gothenburg SE-412 96, Sweden
e-mail: Hakan.Johansson@chalmers.se

1Corresponding author.

Manuscript received November 2, 2017; final manuscript received January 24, 2018; published online March 5, 2018. Assoc. Editor: Steven D. Abramowitch.

J Biomech Eng 140(5), 051008 (Mar 05, 2018) (10 pages) Paper No: BIO-17-1497; doi: 10.1115/1.4039176 History: Received November 02, 2017; Revised January 24, 2018

In modeling the mechanical behavior of soft tissues, the proper choice of an experiment for identifying material parameters is not an easy task. In this study, a finite element computational framework is used to virtually simulate and assess commonly used experimental setups: rotational rheometer tests, confined- and unconfined-compression tests, and indentation tests. Variance-based global sensitivity analysis is employed to identify which parameters in different experimental setups govern model prediction and are thus more likely to be determined through parameter identification processes. Therefore, a priori assessment of experimental setups provides a base for systematic and reliable parameter identification. It is found that in indentation tests and unconfined-compression tests, incompressibility of soft tissues (adipose tissue in this study) plays an important role at high strain rates. That means bulk stiffness constitutes the main part of the mechanism of tissue response; thus, these experimental setups may not be appropriate for identifying shear stiffness. Also, identified material parameters through loading–unloading shear tests at a certain rate might not be reliable for other rates, since adipose tissue shows highly strain rate dependent behavior. Frequency sweep tests at a wide-enough frequency range seem to be the best setup to capture the strain rate behavior. Moreover, analyzing the sensitivity of model parameters in the different experimental setups provides further insight about the model itself.

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References

Geerligs, M. , Peters, G. W. , Ackermans, P. A. , Oomens, C. W. , and Baaijens, F. , 2008, “ Linear Viscoelastic Behavior of Subcutaneous Adipose Tissue,” Biorheology, 45(6), pp. 677–688. [PubMed]
Geerligs, M. , Peters, G. W. , Ackermans, P. A. , Oomens, C. W. , and Baaijens, F. P. , 2010, “ Does Subcutaneous Adipose Tissue Behave as an (Anti-) Thixotropic Material?,” J. Biomech., 43(6), pp. 1153–1159. [CrossRef] [PubMed]
Gefen, A. , and Haberman, E. , 2007, “ Viscoelastic Properties of Ovine Adipose Tissue Covering the Gluteus Muscles,” ASME J. Biomech. Eng., 129(6), pp. 924–930. [CrossRef]
Comley, K. , and Fleck, N. , 2012, “ The Compressive Response of Porcine Adipose Tissue From Low to High Strain Rate,” Int. J. Impact Eng., 46, pp. 1–10. [CrossRef]
Iatridis, J. C. , Wu, J. , Yandow, J. A. , and Langevin, H. M. , 2003, “ Subcutaneous Tissue Mechanical Behavior is Linear and Viscoelastic Under Uniaxial Tension,” Connect. Tissue Res., 44(5), pp. 208–217. [CrossRef] [PubMed]
Patel, P. N. , Smith, C. K. , and Patrick, C. W. , 2005, “ Rheological and Recovery Properties of Poly (Ethylene Glycol) Diacrylate Hydrogels and Human Adipose Tissue,” J. Biomed. Mater. Res., Part A, 73(3), pp. 313–319. [CrossRef]
Comley, K. , and Fleck, N. A. , 2010, “ A Micromechanical Model for the Young's Modulus of Adipose Tissue,” Int. J. Solids Struct., 47(21), pp. 2982–2990. [CrossRef]
Sommer, G. , Eder, M. , Kovacs, L. , Pathak, H. , Bonitz, L. , Mueller, C. , Regitnig, P. , and Holzapfel, G. A. , 2013, “ Multiaxial Mechanical Properties and Constitutive Modeling of Human Adipose Tissue: A Basis for Preoperative Simulations in Plastic and Reconstructive Surgery,” Acta Biomater., 9(11), pp. 9036–9048. [CrossRef] [PubMed]
Naseri, H. , Johansson, H. , and Brolin, K. , 2017, “ A Nonlinear Viscoelastic Model for Adipose Tissue Representing Tissue Response at a Wide Range of Strain Rates and High Strain Levels,” ASME J. Biomech. Eng. (accepted).
Hayes, W. , Keer, L. , Herrmann, G. , and Mockros, L. , 1972, “ A Mathematical Analysis for Indentation Tests of Articular Cartilage,” J. Biomech., 5(5), pp. 541–551. [CrossRef] [PubMed]
Hrapko, M. , Van Dommelen, J. , Peters, G. , and Wismans, J. , 2006, “ The Mechanical Behaviour of Brain Tissue: Large Strain Response and Constitutive Modelling,” Biorheology, 43(5), pp. 623–636. https://content.iospress.com/articles/biorheology/bir436 [PubMed]
Brands, D. , Peters, G. , and Bovendeerd, P. , 2004, “ Design and Numerical Implementation of a 3D Non-Linear Viscoelastic Constitutive Model for Brain Tissue During Impact,” J. Biomech., 37(1), pp. 127–134. [CrossRef] [PubMed]
Anderson, A. , Ellis, B. , and Weiss, J. , 2007, “ Verification, Validation and Sensitivity Studies in Computational Biomechanics,” Comput. Methods Biomech. Biomed. Eng., 10(3), pp. 171–184. [CrossRef]
Saltelli, A. , Tarantola, S. , Campolongo, F. , and Ratto, M. , 2004, Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models, Wiley, West Susex, UK.
Zhang, X. , and Pandey, M. D. , 2014, “ An Effective Approximation for Variance-Based Global Sensitivity Analysis,” Reliab. Eng. Syst. Saf., 121, pp. 164–174. [CrossRef]
Saltelli, A. , and Sobol, I. M. , 1995, “ About the Use of Rank Transformation in Sensitivity Analysis of Model Output,” Reliab. Eng. Syst. Saf., 50(3), pp. 225–239. [CrossRef]
Homma, T. , and Saltelli, A. , 1996, “ Importance Measures in Global Sensitivity Analysis of Nonlinear Models,” Reliab. Eng. Syst. Saf., 52(1), pp. 1–17. [CrossRef]
Lei, F. , and Szeri, A. , 2007, “ Inverse Analysis of Constitutive Models: Biological Soft Tissues,” J. Biomech., 40(4), pp. 936–940. [CrossRef] [PubMed]
El Habachi, A. , Moissenet, F. , Duprey, S. , Cheze, L. , and Dumas, R. , 2015, “ Global Sensitivity Analysis of the Joint Kinematics During Gait to the Parameters of a Lower Limb Multi-Body Model,” Med. Biol. Eng. Comput., 53(7), pp. 655–667. [CrossRef] [PubMed]
Reese, S. , and Govindjee, S. , 1998, “ A Theory of Finite Viscoelasticity and Numerical Aspects,” Int. J. Solids Struct., 35(26–27), pp. 3455–3482. [CrossRef]
Bathe, K.-J. , 2006, Finite Element Procedures, Prentice Hall, Upper Saddle River, NJ.
Bathe, K.-J. , and Baig, M. M. I. , 2005, “ On a Composite Implicit Time Integration Procedure for Nonlinear Dynamics,” Comput. Struct., 83(31–32), pp. 2513–2524. [CrossRef]
Bathe, K.-J. , and Noh, G. , 2012, “ Insight Into an Implicit Time Integration Scheme for Structural Dynamics,” Comput. Struct., 98–99, pp. 1–6. [CrossRef]
Zhang, X. , and Pandey, M. D. , 2013, “ Structural Reliability Analysis Based on the Concepts of Entropy, Fractional Moment and Dimensional Reduction Method,” Struct. Saf., 43, pp. 28–40. [CrossRef]
Jafari Bidhendi, A. , and Korhonen, R. K. , 2012, “ A Finite Element Study of Micropipette Aspiration of Single Cells: Effect of Compressibility,” Comput. Math. Methods Med., 2012, p. 192618.
Saraf, H. , Ramesh, K. , Lennon, A. , Merkle, A. , and Roberts, J. , 2007, “ Mechanical Properties of Soft Human Tissues Under Dynamic Loading,” J. Biomech., 40(9), pp. 1960–1967. [CrossRef] [PubMed]

Figures

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Fig. 1

(a) Generalized Maxwell model and (b) Schematic representation of the multiplicative decomposition of the deformation gradient tensor F, [20]. Fv is the inelastic part of F, which transfers the initial configuration to the intermediate configuration. Then Fe, the elastic part of F, transfers the intermediate configuration to the current configuration.

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Fig. 2

Modeling experimental setups: loadings and boundary conditions. From left to right: confined- and unconfined-compression tests, indentation tests, rheometer tests; circle: frictionless contact; triangle: fully clamped; Black: stationary parts; and gray: moving parts.

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Fig. 3

The FE model for adipose tissue samples and its four node quadrilateral element in cylindrical coordinates

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Fig. 4

Sensitivity analysis of the frequency sweep test at different frequencies

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Fig. 5

Comparison of the global sensitivity indexes for a widerexpected range of parameters; the old range mentioned in Table 1 and a new range of parameters as μv(1)=[.3−2.5],μv(2)=[1−5], μv(3)=[2.5−9.5], and μv(4)=[6−19] kPa

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Fig. 6

Sensitivity analysis of the loading–unloading shear test at two different rates

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Fig. 7

Sensitivity analysis of the confined-compression test at two different rates

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Fig. 8

Sensitivity analysis of the unconfined-compression test at three different rates

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Fig. 9

Sensitivity analysis of the unconfined-compression test with consideration of extra compressibility νv(3,4)∈[0.487−0.496] for adipose tissue at high rates

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Fig. 10

Sensitivity analysis of the indentation test with and without consideration of extra compressibility νv(3,4)∈[0.487−0.496] of adipose tissue at high strain rates

Tables

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