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8/8/2019 Basic Imaging and Contrast
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Basic MR imaging & contrast
Steffen Ringgaard
Sept. 2003
8/8/2019 Basic Imaging and Contrast
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Spatial signal encoding After excitation, signal is
emitted from completeobject
Linear field gradients for
introducing spatially
varying frequency
Fieldgradient
Z
Bandwidth
G
Larmor frequency
= B0
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Definition of coordinate axes
Fieldgradient
Z
Slice thickness
Bandwidth
G
y, phase direction
x, frequency direction
z, slice direction
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Slice excitation Simultaneous gradient
and shaped RF-pulse Gradient induces
linearly varying field
Shaped RF-pulse
excites frequency band
Field
gradient
Z
Slice thickness
Bandwidth
G
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Shaped RF-pulse Rectangular slice profile
requires sinc functionshaped pulse
Slice thickness inversely
proportional to pulse
extension
Position determined by
frequency
FourierTransform
Frequency
Time
( )x
xx
sinsinc =
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Slice interference
Slicegap
Slicegap
Halfmaximum
height
Halfmaximum
height
Slicethickness
Slicethickness
Interferencebetween slices
No sliceinterference
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Frequency encoding
Signal from different positions has different frequency Position determined by invers Fourier Transform
Gradient
Higherfield
Frequency
Z
Signal after Fouriertransformation
X
Magnetic fieldperpendicularto slice
TimeFrequency0
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Phase encoding With gradient applied, the
phase of themagnetization changes
With gradient turned off
the frequency is again the
same, but phases aredifferent
When signal is read out
(sampled) it containsmultiple frequencies and
multiple phases
1
2
3
z z
z z
z z
x x
x x
x x
B0
RF
Gs
ACQ
Gp
Gm
Time
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Pulse sequence
RF
Gs
ACQ
Gp
Gm
Excitation Phase
encoding
Acquisition
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Complete pulse sequence
Total scan time: TR*Matrix(y)
Typical values:
TE: 2-100 ms
TR: 10-1000 ms
Matrix: 128-512
Scan time: 1-512 s
RF
Gs
ACQ
Gp
Gm
TRTE
K-space
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Contrast in MR images
Two images with different contrast
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Excitation of magnetization
z
B0
B1
B
1
x'
y'
z'
x
y
M
Initial
magnetization M0
Magnetizationafter 90 pulseo
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Longitudinal and transversal
components
Transverseplane (xy)
Transverseplane (xy)
Longitudinalaxis (z)
Longitudinalaxis (z)
Mxy
Mxy
yy
z z
zM
zM
xx
B0 B0
=0
M
(=M)
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Relaxation T1 relaxation:
longitudinal relaxation
re-growth of longitudinalmagnetization
T2 relaxation: transverse relaxation
disappearance oftransversal magnetization
T2* relaxation: as T2, but taking
inhomogeneity into account
T2 < T1
T2* < T2
Time
Longitudinal relaxation63%
T1
Mz
0
Transverse relaxation
Time37%
Mxy
T2
0
M0
M0
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T1 and T2 values Tissues have different relaxation values
Tissue T1 (ms) T2 (ms)
Gray matter 950 100
White matter 600 80
Muscle 900 50
CSF 4500 2200
Fat 250 60Blood 1200 100-200
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Contrast: long TRVerticalmagnetization (M )
Signal
+M0
0TR
90 pulseo
TE
PD weighted
CSF, long T2
T weighted2
Parenchyma,short T2
CSF, long T1
Parenchyma,short T
1
z
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Contrast: short TRVerticalmagnetization (M )
Signal
+M0
0
90 pulseo
TE
CSF, long T2
T weighted1
short T2
CSFlong T
1
short T1
Parenchyma
Mixed influence
z
TR
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Three types of weighting Proton density weighting
TR long TE short
T1 weighting TR short (~ T1 of tissue)
TE short long T1 tissue is dark
T2 weighting TR long
TE long (~ T2 of tissue)
long T2 tissue is bright
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Calculating signal strengthSignal in spin echo sequence:
Contrast between tissue A and B:
BAABSSC =
( ) 211, 0T
TT
T
ER
ER
eeTTS
=
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Signal and contrastSignal strength and contrast, varying TR
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 500 1000 1500 2000 2500
Repetition time
Signal S1
S2
DIFF
Signal strength and contrast, varying TE
0
0.2
0.4
0.6
0.8
1
1.2
0 50 100 150 200 250 300
TE, ms
Signal S1
S2
DIFF
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k y
B C
A
kx0
0
Spin echo and gradient echo
A
C
0
k x
ky
90 90180
TE
TR
RF
Gz
Gy
G
xsignal
o o
o
Gradient echo Spin echo
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Contrast for spin and gradient echo
sequences
Spin echo:
Gradient echo:
( ) 211, 0T
TT
T
ER
ER
eeTTS
=
( )
*21
1, 0T
T
T
T
ER
ER
eeTTS
=
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MRI contrast agents Reduces T1 and T2
Increases signal strength Improves image contrast
Used for angiography, perfusion and myocardial
viability Gadolinium (Gd) based contrast most common
Gd inserted in large molecule (DTPA)
Used in approx. 30% of clinical scans Injected intra-venously
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Contrast agents, structure
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Contrast agents, signal strength
Increases signal in T1-weighted scans
Decreases signal in T2-weighted scans
Gd-DTPA of the kidney parenchyma
0
500
1000
1500
2000
2500
0 5 10 15 20 25 30 35 40 45 50 55 60
Time [s]
MRIsignalintensity
T2-weighted
T1-weighted
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Example of
contrastbased
angiography(Mobitrak)