MRI Flashcards
Energy of wave with frequency w
E_w = hw/2 pi
Energy difference between levels
delta E = gamma h B0 / 2 pi
Larmor frequency
w = gamma B0
T1 relaxation
Spin lattice relaxation - longitudinal.
Magnetization vector returns to equilibrium, caused by loss of energy of nuclei to surroundings - given as heat not signal
T1 relaxation equation
Mz(t) = M0[1-exp(-t/T1)]
(after 180 degree pulse Mz(t) = M0[1-2exp(-t/T1)])
Is T1 or T2 shorter
T2 is shorter
In solution T2 can approach T1, in vivo T2 can be 5-10 times shorter
T2 relaxation
Spin-spin relaxation - transverse.
Decay of observable transverse magnetization, nuclei randomly moving together or further apart means magnetic moment affects other nuclei and experienced B field - causes dephasing.
T2 relaxation equation
Mxy(t)=Mxy(0)exp(-t/T2)
T2* relaxation
Caused by spatial inhomogeneities in the field - causes addition dephasing. Constant, not temporal or random.
Is T2* or T2 shorter?
T2* is shorter
Spin echo
Rephases with 2 pulses, 90 degree and then 180 degree. Rephases T2*, can’t help T2.
Gradient echo
Rephases using gradients - not rephased T2 star, gradient echo is weighted by T2*.
3 gradients
Phase encoding
Readout (frequency encoding)
Slice selection
Readout gradient
Frequency encoding
Magnetic field gradient across scanner so w changes dependent on location. Spatially encoded spins. Frequency tells you where you are - amplitude tells you how many.
Phase encoding gradient
Orthogonal to readout gradient. First time most negative gradient up to most positive. Changes phase dependent on y position then switch off gradient, phase shift remains.