The present invention discloses a method for magnetic resonance (MR) imaging comprising: acquiring at least two MR images with different motion weighting originating from a RF and gradient pulse sequence causing signal attenuation from diffusion but not flow (flow compensated data)； acquiring at least two MR images with different motion weighting originating from a RF and gradient pulse sequence causing signal attenuation from diffusion and flow (non compensated data)； performing a model fit to the flow compensated and non compensated data in which at least one of the adjustable parameters are constrained to be the same for both sets of data； and obtaining quantitative information on microscopic flow by extracting at least one parameter of the intravoxel incoherent motion (IVIM) effect from the model fit said method being directed to diffusion perfusion.
