Quantification relies on inflow effects or on
spin phase effects and therefore on quantifying the
phase shifts of moving tissues relative
to stationary tissues.
With properly designed pulse
sequences (see
phase contrast sequence) the
pixel by
pixel phase represents a map of the velocities measured in the imaging plane.
Spin phase effect-based
flow quantification schemes use pulse
sequences specifically designed so that the
phase angle in a
pixel obtained upon measuring the signal is proportional
to the
velocity. As the relation of the
phase angle to the
velocity is defined by the
gradient amplitudes and the
gradient switch-on
times, which are known,
velocity can be determined quantitatively on a pixel-by-pixel basis. Once, this
velocity is known, the
flow in a vessel can be determined by multiplying the
pixel area with the
pixel velocity. Summing this quantity for all pixels inside a vessel results in a
flow volume, which is measured, e.g. in ml/sec.
Flow related enhancement-based
flow quantification techniques (entry phenomena) work because spins in a section perpendicular
to the vessel of interest are labeled with some
radio frequency RF pulse. Positional readout of the tagged spins some
time T later will show the distance D they have traveled.
For constant
flow, the
velocity v is obtained by dividing the distance D by the
time T : v = D/T. Variations of this basic principle have been proposed
to measure
flow, but the standard methods
to measure
velocity and
flow use the
spin phase effect.
Cardiac MRI sequences are used
to encode images with
velocity information. These
pulse sequences permit quantification of flow-related physiologic data, such as blood
flow in the aorta or pulmonary arteries and the
peak velocity across stenotic valves.