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Photoacoustic computed tomography (PACT) is an emerging imaging modality that has potential for a wide range of preclinical and clinical imaging applications. In this talk, we review recent advancements in image reconstruction approaches for PACT in acoustically heterogeneous media. Such advancements include physics-based models of the measurement process for elastic media and associated optimization-based inversion methods. Open challenges related to the joint reconstruction of optical and acoustic parameters in PACT will also be presented.