A system includes a parameter generation system to determine at least one parameter for an injection procedure (for example, a parameter of an injection protocol or an imaging system parameter), the parameter generator system includes a physiologically based pharmacokinetic model to model propagation of a contrast medium injected into a patient including at least one of a non-linear saturation term in a peripheral venous compartment, at least one configurable transport delay term through at least one compartment, or an adaptation to model volumetric flow rate of blood and an effect thereof on the propagation of contrast medium after injection of contrast medium ceases. The physiologically based pharmacokinetic model can, for example, be discretizable.
