Some Mathematics of the Fluorescence Ultrasound Modulated Optical Tomography
Friday, May 3, 2019 - 10:10am - 11:00am
Fluorescence optical tomography (FOT) is an imaging technology that localizes fluorescent targets in tissues. FOT is unstable and of poor resolution in strongly scattering media where the propagation of multiply-scattered light is highly diffusive. We study a hybrid imaging modality called fluorescent ultrasound-modulated optical tomography (fUMOT). It combines FOT with acoustic modulation to produce high-resolution images of optical properties. The principle of fUMOT is to perform multiple measurements of photon currents at the boundary as the optical properties undergo a series of perturbations by acoustic radiation, then the internal information of the optical field can be extracted from the measurement. We will set up the mathematical model for fUMOT, prove the well-posedness for the reconstruction of certain optical parameters, and present the resulting reconstruction algorithms and numerical experiments. This is joint work with Wei Li and Yimin Zhong.