1. A method for magnetic resonance (MR) imaging comprising: performing magnetic resonance (MR) imaging on a sample, wherein the performing the MR imaging comprises generating radio frequency (RF) and magnetic gradient pulse sequences, 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 as flow-compensated data, based on measuring signals received from the sample based on the generated RF and magnetic gradient pulse sequences, and 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 as non-compensated data, based on measuring signals received from the sample based on the generated RF and magnetic gradient pulse sequences; performing a model fit to each one of the flow-compensated and non-compensated data in which at least one adjustable model parameter of each model fit are constrained to be common for both sets of data; and obtaining quantitative information on microscopic flow by extracting at least one parameter of an intravoxel incoherent motion IVIM, effect from the model fits.