A method of modeling propagation of a pharmaceutical fluid in a patient, includes: collecting data corresponding to a
time response curve resulting from injection of the fluid; and determining at least one
mathematical model describing the data. The
mathematical model can, for example, be a model which is not determined by a continuous or a discrete-time
Fourier transform of the data. A method of controlling injection of a pharmaceutical fluid into a patient using an
injector in a
medical procedure, includes: collecting data corresponding to a
patient response curve resulting from injection of the fluid; determining at least one
mathematical model describing the data; and controlling the
injector during the
medical procedure to control injection of the fluid into the patient to create
patient response at least in part on the basis of the mathematical model. A method of controlling injection of a
contrast medium into a patient using an
injector in a
medical imaging procedure using an imaging
scanner, includes: determining at least one mathematical model to predict a time enhancement response resulting from injection of the
contrast medium; determining an injection protocol to approximate a predetermined time enhancement response in the patient by determining a constrained input solution to the mathematical model; and using the injection protocol to control the injector during the
medical imaging procedure to control injection of the
contrast medium into the patient to create an image of a
region of interest.