A time-series morphology index and a time-series shape deformation index of the analysis target region on a time-series medical image are calculated by image processing. A dynamical model of a structural fluid analysis of the analysis target region is temporarily structured, based on the time-series morphology index, the time-series shape deformation index, and the time-series medical image. A latent variable of the identification region is identified so that at least one of a prediction value of a blood vessel morphology index and a blood flow volume index based on the temporarily structured dynamical model match with at least one of an observation value of the blood vessel morphology index and the blood flow volume index measured.