Dissertation Defense of CMSE Tianyu Yang
Department of Computational Mathematics, Science & Engineering
Michigan State University
Dissertation Defense Notice
Friday, April 12, 13:00 (EST)
3405 Engineering Building
Ultrasound Modulated Bioluminescence Tomography: Theory and Computation
By Tianyu Yang
Abstract:
Ultrasound modulated bioluminescence tomography (UMBLT) is a technique for imaging
the 3D distribution of biological objects such as tumors by using a bioluminescent
source as a biomedical indicator. It uses bioluminescence tomography (BLT) with a
series of perturbations caused by acoustic vibrations. UMBLT outperforms BLT in terms
of spatial resolution. The current UMBLT algorithm in the transport regime requires
measurement at every boundary point in all directions, and reconstruction is computationally
expensive. In this talk, we will first introduce the UMBLT model in both the diffusive
and transport regimes, and then formulate the image reconstruction problem as an inverse
source problem using internal data. Second, we present an improved UMBLT algorithm
for isotropic sources in the transport regime. Third, we generalize an existing UMBLT
algorithm in the diffusive regime to the partial data case and quantify the error
caused by uncertainties in the prescribed optical coefficients.
Committee Members:
Yang Yang (advisor)
Adam Alessio
Jianliang Qian
Zhen Qiu
