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A novel diffusion tensor based three-dimensional constitutive model for human breast tissue.

Michael S Sacks1, Benjamin Thomas2, Christian Goodbrake2

  • 1Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA; Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX 78712, USA.

Journal of the Mechanical Behavior of Biomedical Materials
|April 22, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new constitutive model for human breast tissue, using diffusion tensor imaging (DTI) data to predict 3D mechanical behaviors and understand tissue structure. The model accurately simulates anisotropic properties and validates against experimental data.

Keywords:
Breast tissueConstitutive modelingDiffusion tensor

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Area of Science:

  • Biomedical Engineering
  • Materials Science
  • Medical Imaging

Background:

  • Understanding the relationship between human breast tissue's internal structure and its 3D mechanical properties is crucial.
  • Diffusion Tensor Imaging (DTI) provides quantitative local structural information via diffusion tensor (D).

Purpose of the Study:

  • To develop a novel constitutive model for fibroglandular (FG) and adipose (AD) breast tissues that directly incorporates DTI-derived diffusion tensor (D) data.
  • To elucidate the connection between tissue microstructure and macroscale mechanical behavior.

Main Methods:

  • A neural network approach was used to develop mathematical forms for the constitutive model, trained on shear loading data.
  • The model incorporates separate extensional/compression and shear interaction terms, utilizing the complete diffusion tensor (D).

Main Results:

  • The developed constitutive model accurately simulates anisotropic tension/compression behaviors and direction-dependent non-linearities in FG tissue.
  • Model predictions for diffusion tensor (D) compared favorably with DTI measurements on excised breast tissue.
  • The model accurately predicted the mechanical behavior of AD and FG tissues under simple compression.

Conclusions:

  • The novel constitutive model successfully predicts human breast tissue 3D mechanical behavior.
  • This approach provides insights into the link between tissue structure and mechanical properties using diffusion tensor (D) data.