To perform quantitative tomography, it is essential to employ an accurate mathematical model to describe the propagation of light in biologic tissues. The Monte Carlo method is a statistical method used to simulate and track individual photons as they propagate. This method is considered the gold standard to accurately model light propagation in either diffusing or non-diffusing media with flexibility to model arbitrary boundaries. We develop massively parallel computational platforms that allow computing time-resolved Jacobians with the pMC, the adjoint method (aMC) and/or the midway adjoint method (mMC).