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THE DIFFUSIVE ULTRASOUND MODULATED BIOLUMINESCENCE TOMOGRAPHY WITH PARTIAL DATA AND UNCERTAIN OPTICAL PARAMETERS
1Department of Computational Mathematics, Science and Engineering, Michigan State University, East Lansing, MI.
SIAM Journal on Applied Mathematics
|September 17, 2025
Summary
This study introduces a novel method for ultrasound-modulated bioluminescence tomography (UMBLT) in anisotropic tissues. The approach enables accurate bioluminescent source reconstruction and provides robust uncertainty quantification for improved medical imaging.
Area of Science:
- Biomedical Optics
- Medical Imaging
- Inverse Problems
Background:
- Ultrasound-modulated bioluminescence tomography (UMBLT) is a promising technique for deep-tissue imaging.
- Reconstruction in anisotropic media with partial boundary measurements presents significant challenges.
- Accurate source localization and uncertainty estimation are crucial for clinical applications.
Purpose of the Study:
- To develop a robust reconstruction procedure for UMBLT in anisotropic media using partial boundary data.
- To establish an uncertainty quantification (UQ) framework for assessing reconstruction reliability.
- To provide a discretized UMBLT model for practical implementation and validation.
Main Methods:
- Transformation of the imaging problem into an inverse problem with internal data under plane-wave modulation.
- Development of a reconstruction algorithm to recover the bioluminescent source distribution.
- Discretization of the diffusive model using a staggered grid scheme for computational implementation.
- Integration of a discrete uncertainty quantification estimate for reconstruction robustness assessment.
Main Results:
- A novel reconstruction procedure for UMBLT in anisotropic media with partial boundary measurements was derived.
- A discrete formulation of the UMBLT inverse problem and its associated reconstruction algorithm were presented.
- Numerical examples quantitatively validated the proposed method, demonstrating its efficacy and reliability.
- The uncertainty quantification estimate effectively assessed the robustness of the source reconstruction.
Conclusions:
- The proposed UMBLT approach effectively reconstructs bioluminescent sources in anisotropic media.
- The integrated uncertainty quantification provides a reliable measure of reconstruction confidence.
- The discretized model and validated procedure facilitate practical application in biomedical imaging.
