Fig. 1.

Joint process and observation model. The physical model defines the state variable u as a function of model parameters θ_p and initial conditions θ_x and θ_t. The imaging models relate u to the image observations y^m and y^s, representing functional maps and tumor segmentations, respectively. Variables are represented by circles, parameters are shown as squares. We estimate the model parameters θ_p to characterize the state of disease visible from images y.