Described herein is an approach for analyzing perfusion characteristics of heterogeneous tissues in 4D data set (i.e., a time series of contrast enhanced 3D volumes) in which spatially entangled tissue components are separated into individual tissue components and perfusion maps for the individual tissue components are generated and visually presented. In one instance, the approach includes obtaining the 4D data set in electronic format, generating a different time activity curve point for each of the different tissue components for each voxel being evaluated for each time frame being evaluated, and generating a signal indicative of a different parameter map for each of the different tissue components based at least on the time activity curves. Optionally, relations between parameters of the different components are determined and presented in relation maps.