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Mathematical Sciences Colloquium: Inverse Problems in Ultrasound Modulated Optical Tomography

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Friday, April 9, 2021 1:00pm to 1:50pm

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Speaker: Yang Yang (Michigan State University)

Abstract: Ultrasound modulated optical tomography (UMOT) is an emerging medical imaging modality that combines optical tomography and ultrasound modulation to generate high-contrast, high-resolution images. The principle of UMOT is to perform multiple measurements of photon currents at the boundary as the optical properties undergo a series of acoustic perturbations, then extract the internal information of the optical field to infer the unperturbed optical properties. In this talk, we will discuss several inverse problems in UMOT in both the diffusive and transport regimes. Uniqueness and stability for the reconstruction of optical coefficients will be proved, and reconstructive algorithms will be derived with numerical validations. The results provide mathematical justification for the advantage of UMOT over conventional standalone optical tomography.

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