1. A medical image processing apparatus comprising: a medical imaging apparatus configured to image a subject by a single imaging modality to obtain morphological image data related to morphology of the subject and functional image data related to function of the subject; a specifying part configured to specify a probable disease based on either or both of the morphological image data and the functional image data; a first computing part configured to calculate morphological information indicating morphological characteristics of the specified probable disease based on the morphological image data; a second computing part configured to calculate functional information of the specified probable disease based on the functional image data; and a third computing part configured to calculate an amount of progress characteristics of indicating a progressing extent of the probable disease based on the morphological information and the functional information.