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MR physics and safety for fMRI. Massachusetts General Hospital Athinoula A. Martinos Center . Lawrence L. Wald, Ph.D. Outline:. Monday Oct 18 (LLW): MR signal, Gradient and spin echo Basic image contrast. Wed. Oct 20 (JJ): Encoding the image. Monday Oct 25 (LLW): - PowerPoint PPT Presentation
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Wald, fMRI MR Physics
Massachusetts General HospitalAthinoula A. Martinos Center
MR physics and safety
for fMRILawrence L. Wald, Ph.D.
Wald, fMRI MR Physics
Outline:Monday Oct 18 (LLW):
MR signal, Gradient and spin echoBasic image contrast
Monday Oct 25 (LLW):Fast imaging for fMRI, artifacts
Wed. Oct 20 (JJ):Encoding the image
Wed. Oct 25 (LLW):fMRI BOLD contrast
Mon. Nov. 1 (JJ):Review, plus other contrast mechanisms for fMRI (CBV, CBF)
Wald, fMRI MR Physics
• Why, introduction
• How: Review of k-space trajectories Different techniques (EPI, Spiral)
• Problems from B0 Susceptibility artifacts
Fast MR ImagingTechniques
Wald, fMRI MR Physics
Why fast imaging
Capture time course,(e.g. hemodynamic)eliminate artifact from motion (during encode.)
Wald, fMRI MR Physics
Magnetization vector durning MR RF
Voltage(Signal)
time
Mz
time
encode
Wald, fMRI MR Physics
Review of Image encoding,journey through kspace
Two questions:
1) What does blipping on a gradient do to thewater magnetization.
2) Why does measuring the signal amplitudeafter a blip tell you info about the spatialfrequency composition of the image (k-space).
Wald, fMRI MR Physics
Aside: Magnetic field gradient
Uniform magnet Field from gradient coils
Total field
Bo Gx x Bo + Gx x
x
z
Gx Bz x
Wald, fMRI MR Physics
Step two: encode spatial info.
in-plane
x
y
x
B
Fie
ld(w
/ x g
radi
ent) B
o
BTOT = Bo + Gz x
Freq.
Sign
alBo along z
o
with gradient without gradient
“Frequency encoding”
v = BTOT = (Bo + Gx x)
Wald, fMRI MR Physics
How does blipping on a grad. encodespatial info?
y
B
Fie
ld(w
/ z g
radi
ent) B
o
Bo
Gy
y1 y2
z
y
y1
y2
all y locs process at same freq.
all y locs process at same freq.
spins in foreheadprecessfaster...
y = BTOT = Bo y Gy
y = y=Bo y (Gy
Wald, fMRI MR Physics
How does blipping on a grad. encode
spatial info?z
y
y1
y2
yx yx
z
x y
z
o
90°
yx
after RF After the blipped y gradient...
position y1 position 0 position y2
z z
Bo
y = y=Bo y (Gy
Wald, fMRI MR Physics
How does blipping on a grad. encodespatial info?
The magnetization vectorin the xy plane is wound intoa helix directed along y axis.
Phases are ‘locked in’ oncethe blip is over.
y
Wald, fMRI MR Physics
y = y=Bo y (Gy
The bigger the gradient blip area,
the tighter the helix y
small blip medium blip large blip
Gy
Wald, fMRI MR Physics
What have you measured?Consider 2 samples:
unifo
rm w
ater 1 cm
no signal observed signal is as big as if no gradient
Wald, fMRI MR Physics
10 mm
kx
ky
1/10 mm
1/5mm
1/2.5mm
1/1.2mm = 1/Resolution
Measurement intensity at a spatial frequency...
Wald, fMRI MR Physics
kx
ky1 / Resx
1 / FOVx
FOVx = matrix * Resx
Fourier transform
Wald, fMRI MR Physics
Sample 3 points in kspace
More efficient!
t
kx
1/10 mm
1/5mm
1/2.5mm
1/1.2mm = 1/Resolution
t
Gy
Gy
Frequency and phase encoding are the same principle!
Wald, fMRI MR Physics
Conventional “Spin-warp” encoding
“slice select”
“phase enc”
“freq. enc” (read-out)
RF
tS(t)
tGz tGy
Gx t
t
kx
ky
one excitation, one line of kspace...
a1
a2
Wald, fMRI MR Physics
Image encoding,
“Journey throughkspace”
The Movie…
Wald, fMRI MR Physics
kx
ky1 / Resx
1 / FOVx
FOVx = matrix * Resx
Fourier transform
Wald, fMRI MR Physics
Conventional “Spin-warp” encoding
“slice select”
“phase enc”
“freq. enc” (read-out)
RF
tS(t)
tGz tGy
Gx t
t
kx
ky
one excitation, one line of kspace...
a1
a2
Wald, fMRI MR Physics
“Echo-planar” encoding
RF
tS(t)(nograds)
tGz tGy
Gx
t
kx
ky
one excitation, many lines of kspace...
etc...
T2*
T2*
Wald, fMRI MR Physics
Bandwidth is asymmetric in EPI
kx
ky
• Adjacent points in kx have short t = 5 us (high bandwidth)
• Adjacent points along ky are takenwith long t (= 500us). (low bandwidth)
The phase error (and thus distortions) are in the phase encode direction.
Wald, fMRI MR Physics
RF tGz tGy
Gx
t
esp = 500 us for whole body grads, readout length = 32 msesp = 270us for head gradients, readout length = 17 ms
Characterization of EPI performance
length of readout train for given resolution or echo spacing (esp) or freq of readout…
‘echo spacing’ (esp)
Wald, fMRI MR Physics
What is important in EPI performance?
Short image encoding time.
Parameters related to total encoding time:1) echo spacing.2) frequency of readout waveform.
Key specs for achieving short encode times:1) gradient slew rate.2) gradient strength.3) ability to ramp sample.
Good shimming (second order shims)
Wald, fMRI MR Physics
Susceptibility in MR
The good.
The bad.
The ugly.
Wald, fMRI MR Physics
Enemy #1 of EPI: local susceptibility gradients
Bo field maps in the head
Wald, fMRI MR Physics
Enemy #1 of EPI: local susceptibility gradients
Bo field maps in the head
Wald, fMRI MR Physics
What do we mean by “susceptibility”?
In physics, it refers to a material’s tendency to magnetize when placed in an external field.
In MR, it refers to the effects of magnetized material on the image through its local distortion of the static magnetic field Bo.
Wald, fMRI MR Physics
Susceptibility effects occur near magnetically dis-similar materials
Field disturbance around air surrounded by water (e.g. sinuses)
Field map (coronal image)
1.5T
Bo
Ping-pong ball in water…
Wald, fMRI MR Physics
Bo map in head: it’s the air tissue interface…
Sagittal Bo field maps at 3T
Wald, fMRI MR Physics
Susceptibility field (in Gauss) increases w/ Bo
1.5T 3T 7T
Ping-pong ball in H20:Field maps (TE = 5ms), black lines spaced by 0.024G (0.8ppm at 3T)
Wald, fMRI MR Physics
Other Sources of Susceptibility You Should Be Aware of…
Those fillings might be a problem…
Wald, fMRI MR Physics
Local susceptibility gradients: 2 effects
1) Local dephasing of the signal (signal loss) within a voxel, mainly from thru-plane gradients
2) Local geometric distortions, (voxel location improperly reconstructed) mainly from local in-plane gradients.
Wald, fMRI MR Physics
1) Non-uniform Local Field Causes Local Dephasing
Sagittal Bo field map at 3T 5 water protons in different parts of the voxel…
z
slowest
fastestx
y
z90°
T = 0 T = TE
Wald, fMRI MR Physics
Local susceptibility gradients: thru-plane dephasing in grad echo EPI
Bad for thick slice above frontal sinus…
3T
Wald, fMRI MR Physics
Thru-plane dephasing gets worse at longer TE
3T, TE = 21, 30, 40, 50, 60ms
Wald, fMRI MR Physics
Problem #2 Susceptibility Causes Image Distortion in EPI
Field near sinus
To encode the image, we control phase evolution as a function of position with applied gradients.
Local suscept. Gradient causes unwanted phase evolution.
The phase encode error builds up with time. = Blocal t
y
y
Wald, fMRI MR Physics
Susceptibility Causes Image Distortion
Field near sinus
y
y
Conventional grad. echo, encode time 1/BW
Wald, fMRI MR Physics
Susceptibility in EPI can give either a compression or expansion
Altering the direction kspace is transversed causes either local compression or expansion.
choose your poison…
3T whole body gradients
Wald, fMRI MR Physics
Susceptibility Causes Image Distortion
Field near sinus
z
Echoplanar Image, encode time 1/BW
Encode time = 34, 26, 22, 17ms 3T head gradients
Wald, fMRI MR Physics
EPI and Spirals
kx
ky
Gx
Gy
kx
ky
Gx
Gy
Wald, fMRI MR Physics
EPI SpiralsSusceptibility: distortion, blurring,
dephasing dephasing
Eddy currents: ghosts blurring
k = 0 is sampled: 1/2 through 1st
Corners of kspace: yes no
Gradient demands: very high pretty high
EPI and Spirals
EPI at 3T Spirals at 3T(courtesy Stanford group)
Wald, fMRI MR Physics
B0
Nasal Sinus
Wald, fMRI MR Physics
B0
Nasal Sinus + mouth shim
Wald, fMRI MR Physics
Effect of Ear & Mouth Shim on EPI
From P. Jezzard, Oxford
B0
Wald, fMRI MR Physics
With fast gradients, add parallel imaging
Acquisition: SMA
SH
SENSE
Reconstruction:
Folded datasets+
Coil sensitivity maps
Reduced k-space sampling
{
Folded images ineach receiver channel
Wald, fMRI MR Physics
(iPAT) GRAPPA for EPI susceptibility
Fast gradients are the foundation, but EPI still suffers distortion
3T Trio, MRI Devices Inc. 8 channel arrayb=1000 DWI images
iPAT (GRAPPA) = 0, 2x, 3x
Wald, fMRI MR Physics
4 fold acceleration of single shot sub-millimeter SE-EPI: 23 channel array
23 Channel array at 1.5T
With and without 4x Accel.
Single shot EPI,256x256, 230mm FOVTE = 78ms
Encoding with RF…
Extending the phased array to more channels:23 channel “Bucky” array for 1.5T
Wald, fMRI MR Physics
9 Fold GRAPPA acceleration 3D FLASH
23 Channel array at 1.5TCan speed up encoding by an order of magnitude!
9 minute scan down to 1 minute…
3D Flash, 1mm x 1mm x 1.5mm, 256x256x128
Wald, fMRI MR Physics
Whys stop at 32? 96 Channels on its way…
Receiver array: Andreas PotthastHelmut array: Graham Wiggins