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Related Experiment Video

Updated: May 13, 2026

Viscoelastic Characterization of Soft Tissue-Mimicking Gelatin Phantoms using Indentation and Magnetic Resonance Elastography

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Published on: May 10, 2022

A quantitative comparison of soft tissue compressive viscoelastic model accuracy.

Xin Wang¹, Jonathan A Schoen, Mark E Rentschler

¹Department of Mechanical Engineering, University of Colorado at Boulder, 427 UCB, 1111 Engineering Drive, Boulder, CO 80309-0427, USA. xin.wang@colorado.edu

Journal of the Mechanical Behavior of Biomedical Materials

|March 5, 2013

Summary

A new five-element Double Maxwell-arm Wiechert (DMW) viscoelastic model accurately models biological tissue, outperforming the Standard Linear Solid (SLS) model in stress relaxation tests.

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Area of Science:

Biomedical Engineering
Materials Science
Computational Biology

Background:

Biological tissues exhibit time-dependent mechanical behavior, necessitating viscoelastic models for accurate representation.
Existing viscoelastic models often struggle to balance mathematical simplicity with precise experimental data fitting.

Purpose of the Study:

To systematically modify a Standard Linear Solid (SLS) model to enhance its accuracy for biological tissue modeling.
To introduce and validate a five-element Double Maxwell-arm Wiechert (DMW) model for improved tissue mechanical characterization.

Main Methods:

Development of a five-element viscoelastic model family, represented by the DMW model.
Application of the DMW model to fit experimental stress relaxation indentation data from porcine liver and spleen.
Comparison of the DMW model's fit accuracy against a traditional SLS model.

Main Results:

The DMW model demonstrated significantly higher accuracy in fitting experimental data for porcine liver (R(2)=0.991) and spleen (R(2)=0.981) compared to the SLS model (R(2) ≈ 0.73).
The DMW model achieved this improved fit using only five elements, maintaining mathematical simplicity.
An approximate 35% improvement in model fit over the SLS model was observed.

Conclusions:

The five-element DMW model offers a superior balance of mathematical simplicity and experimental accuracy for modeling soft biological tissues.
This model family provides a robust foundation for compressive modeling of complex soft tissues.
Model element parameters for in vitro porcine liver and spleen were successfully determined.