Work

The Diffusive Ultrasound-Modulated Bioluminescence Tomography with Partial Data and Uncertain Optical Parameters

Year: 2024

Type: article

Abstract: The paper studies an imaging problem in the diffusive ultrasound-modulated bioluminescence tomography with partial boundary measurement in an anisotropic medium. Assuming plane-wave modulation, we transform the imaging problem to an inverse problem with internal data, and derive a reconstruction procedure to recover the bioluminescent source. Subsequently, an uncertainty quantification estimate is established to assess the robustness of the reconstruction. To facilitate practical implementation, we discretize the diffusive model using the staggered grid scheme, resulting in a discrete formulation of the UMBLT inverse problem. A discrete reconstruction procedure is then presented along with a discrete uncertainty quantification estimate. Finally, the reconstruction procedure is quantitatively validated through numerical examples to demonstrate the efficacy and reliability of the proposed approach and estimates.

Source: SIAM Journal on Applied Mathematics

DOI: 10.1137/24m1657791

Authors: Tianyu Yang, Yang Yang

Institution: Michigan State University

Language: English

Topic: Optical Imaging and Spectroscopy Techniques

Subfield: Radiology, Nuclear Medicine and Imaging

Field: Medicine

Domain: Health Sciences

Open Access status: green

Funders: National Science Foundation, National Institutes of Health, National Institute of Biomedical Imaging and Bioengineering

Awards: CAREER: Synergistic Inverse Wave Analysis and Computation, Acoustic Inverse Problems with Single and Multiple Measurements, ATD: An Edge-Based PDE Paradigm and Inverse Analysis for Spatiotemporal Information Diffusion and Threat Detection, Rapid 3D Ultrasound Tomography Reconstruction Methods for Guided Interventions, G9000138715