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Updated: Mar 19, 2026

Measurement of Compressive Stress-Strain Response at Small-Strains
Published on: December 5, 2025
Shear modulus reconstruction by ultrasonically measured strain ratio.
Chikayoshi Sumi1, Hidenori Matsuzawa2
1Department of Electrical and Electronics Engineering, Faculty of Science and Technology, Sophia University, 7-1 Kioicho, Chiyoda-ku, Tokyo, 102-8554, Japan. c-sumi@sophia.ac.jp.
This study introduces new methods for stable shear modulus reconstruction in breast tissues. Method 3 offers faster reconstruction, especially for challenging tissues like scirrhous carcinoma.
Area of Science:
- Medical imaging
- Biomedical engineering
- Elasticity imaging
Background:
- Shear modulus reconstruction is crucial for diagnosing tissue abnormalities.
- Existing one-dimensional (1D) methods face challenges with accuracy and stability, particularly in heterogeneous tissues.
Purpose of the Study:
- To describe three previously developed 1D shear modulus reconstruction methods.
- To introduce two new methods for stabilizing these 1D methods.
- To evaluate the effectiveness and limitations of these methods for in vivo breast tissue analysis.
Main Methods:
- Developed and compared three 1D shear modulus reconstruction methods using strain ratio.
- Introduced regularization techniques (Methods 2 and 3) to stabilize reconstruction, especially in regions with high shear moduli.
- Investigated low-pass filtering of strain ratio or inverse shear modulus, and low-resolution evaluation of reference strains to address reconstruction instability.
Main Results:
- Method 1 is effective with high strain distribution accuracy.
- Methods 2 and 3 provide stable reconstruction for heterogeneous tissues like scirrhous carcinoma.
- Low-pass filtering of the strain ratio yielded more accurate inhomogeneity values than low-resolution reference strain evaluation, despite potential lateral instability.
Conclusions:
- All presented methods enable real-time shear modulus reconstruction.
- Method selection should be based on strain measurement accuracy and artifact occurrence for optimal application in ultrasonic imaging.
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