Basics of MRI - uni-heidelberg.de...Basics of MRI Andreas Lemke and Prof. Dr. Lothar Schad MR Lab...
Transcript of Basics of MRI - uni-heidelberg.de...Basics of MRI Andreas Lemke and Prof. Dr. Lothar Schad MR Lab...
1
Seite 1
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 1
Basics of MRI
Andreas Lemke and Prof. Dr. Lothar Schad
MR Lab Rotation, Mannheim
Chair in Computer Assisted Clinical MedicineFaculty of Medicine Mannheim University HeidelbergTheodor-Kutzer-Ufer 1-3D-68167 Mannheim, GermanyLothar.Schad@MedMa.Uni-Heidelberg.dewww.ma.uni-heidelberg.de/inst/cbtm/ckm/
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 2www.ma.uni-heidelberg.de/inst/cbtm/ckm/
2
Seite 2
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 3Literature
• Reiser, Semmler, Hricak: “Magnetic Resonance Tomography” Chapter 2, 2008
• Vlaardingerbroek and den Boer:“Magnetic Resonance ImagingTheory and Practice”, 2003
• Haacke:’’ Magnetic Resonance Imaging: Physical Principles and Sequence Design’’
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 4
Brief Review
Brief Review
3
Seite 3
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 5
B0
M0m = -1/2
m = +1/2
B = 0 B = B0
splitting of energy levels(Zeeman effect)
Curie’s law: M0 = ρ • I(I+1)•γ2•h2•B03kT
Zeeman Effect
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 6Quantum Mechanic ↔ Classical Mechanic
quantum mechanic classical mechanic
Schrödinger equation:
BMdt
tMd rrr
×⋅= γ)(
notice: M is a macroscopic quantity, all nutation angles are allowed → CMμ is a microscopic quantity, only +1/2 and -1/2 are allowed → QM
Bloch equation
Slichter. “Principles of Magnetic Resonance” 1978
4
Seite 4
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 7
90°-pulse (π/2-pulse) in the laboratory and rotating coordinate systemN-1/2 = N+1/2↑ to ↓ : 3x1018 spins per 1 mm3 at 1.5 T
source: Lissner and Seiderer. “Klinische Kernspintomographie” 1987
90°- and 180°- Pulses
180°-pulse (π-pulse) in the laboratory and rotating coordinate systemN-1/2 > N+1/2 = -M0↑ to ↓ : 6x1018 spins per 1 mm3 at 1.5 T
laboratory system rotating system
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 8Movie: Spin Excitation
© Plewes DB, Plewes B, Kucharczyk W. The Animated Physics of MRI, University Toronto, Canada
5
Seite 5
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 9
M
magneticfield
excitation
MRF transmit coil
with ν = ω0 RF receive coil
B0 B0
detection
RF receive coil
NMR Excitation and Signal Detection
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 10Faraday Induction
N S
x
y
z
My
bicycledynamo
loop withrotating magnet
rotating magnetic moments
6
Seite 6
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 11Movie: Free Induction Decay FID
timesign
al in
tens
ity
Mxy
free induction decay: FID
© Plewes DB, Plewes B, Kucharczyk W. The Animated Physics of MRI, University Toronto, Canada
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 12Radio Frequency Coils: Coil Arrays II
102 seamlessly integrated coil elements at 32 receiving channels
matrix coils:
head
neck
stem
leg
courtesy: Siemens AG, Erlangen
7
Seite 7
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 13
transmitter
receiver
gradient
shimim
age
proc
esso
r350 MHz
control panel
computer
350 MHz
radio- gradients Gxyz static field B0frequency RF shim coils
MRI Components: Physical Parameters
static field B0 M0
radiofreq. RF signal
gradients Gxyz image
technicalcomponent
physicalparameter
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 14
Relaxation
Relaxation
8
Seite 8
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 15Magnetization: Mz and Mxy
longitudinal magnetization: Mz
transversal magnetization: Mxy
transversal magnetization: Mxy- phase synchronization after a 90°-pulse- the magnetic moments μ of the probe startto precede around B1 leading to a synchronizationof spin packages → Mxy
- after 90°-pulse Mxy = M0
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 16Movie: Mz and Mxy
source: Schlegel and Mahr. “3D Conformal Radiation Therapy: A Multimedia Introduction to Methods and Techniques" 2007
9
Seite 9
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 17Longitudinal Relaxation Time: T1
after 90°-pulse:- N-1/2 = N+1/2 and Mz = 0, Mxy = M0
after RF switched off:- magnetization turns back to thermal equilibrium- Mz = M0, Mxy = 0
→ T1 relaxationlongitudinal relaxation time T1spin-lattice-relaxation time T1
thermal equilibrium excited state
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 18Physical Model of T1 Relaxation
- in a real spin system (tissue) every nuclei is surrounded by intra- and intermolecularmagnetic moments
- thermal motion (rotation, translation, oscillation) leads to an additional fluctuatingmagnetic field Bloc(t) with typical spectral distribution J(ω)
- transversal components of J(ω) at ω0 allow energy transfer hω0 from the spin system to the “lattice”
→ T1 relaxation
source: Liang and Lauterbur. “Principles of Magnetic Resonance Imaging” 2000J(ω) ⊥ B0
10
Seite 10
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 19Phenomological Description of T1 || B0
the longitudinal magnetization Mz relaxes exponential to the equilibrium state Mz = M0 with a typical time constant T1
dMz/dt = (γ x B)z + (M0 – Mz)/T1 : Bloch equation with T1 with Mz = 0 at t = 0:
Mz(t) = M0 (1 – exp(-t/T1)) → solution of Bloch equation
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 20Transversal Relaxation Time: T2
after 90°-pulse:- N-1/2 = N+1/2 and Mz = 0, Mxy = M0
after RF switched off:- magnetization Mxy starts to rotate in thex,y-plane at Larmor frequency
- all longitudinal components J(ω) of thefluctuating magnetic field Bloc(t) result in adephasing of Mxy → spin-spin interaction
- mainly static frequency components J(ω) of thefluctuating magnetic field Bloc(t) at ω = 0 are contributing
- no energy transfer in the spin system (entropy ↑)
→ T2 relaxation (also called spin-spin-relaxation)
- although technical in homogeneities of B0 causedephasing of Mxy → T2* (effective relaxation)
J(ω) || B0
J(ω=0)
11
Seite 11
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 21Movie: Spin Dephasing
© Plewes DB, Plewes B, Kucharczyk W. The Animated Physics of MRI, University Toronto, Canada
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 22
0,88 ± 0,0372 ± 41,08 ± 0,0469 ± 3white matter
1,03 ± 0,3440 ± 61,47 ± 0,0647 ± 11heart
1,01 ± 0,0244± 61,41 ± 0,0350 ± 4skeletal muscle
1,13 ± 0,0595 ± 81,82 ± 0,1199 ± 7 grey matter
0,58 ± 0,0346 ± 60,81 ± 6442 ± 3liver
T1 [s] at 3 T
T2 [ms] at 3 T
T1 [s] at 3 T
T2 [ms] at 3 T
tissue
T1 and T2 Relaxation Times in-vivo
- T1 increases with increasing B0- T2 decreases with increasing B0
Bottomley et al. Med Phys 1984
12
Seite 12
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 23
Saturation-Recovery Sequence
Inversion-Recovery Sequence
Spin-Echo Sequence
Standard Techniques for T1 and T2
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 24
• saturation-recovery sequence
• 90°-pulse moves the longitudinal magnetization M0 to the x-, y – plane → FID
• transversal magnetization Mxy decays with T2*
• longitudinal magnetization starts to recover to thermal equilibrium → Mz↑ with T1
• after TR actual (reduced) magnetization Mz is moved to the x-, y – plane → FID
• repeat measurement with different TR→ T1 determination by
Saturation-Recovery Sequence
S ~ ρ [1 - exp(-TR / T1)] with TR >> T2*
13
Seite 13
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 25
• inversion-recovery sequence
• 180°-pulse invert the longitudinal magnetization M0 to –M0 at the z-axes
• longitudinal magnetization starts to recover to thermal equilibrium → Mz↑ with T1
• inversion time TI
• after TI 90°-pulse moves the actual (reduced) longitudinal magnetization Mz to the x-, y –plane → FID
• transversal magnetization Mxy decays with T2*
• repeat measurement with different TI→ T1 determination by
Inversion-Recovery Sequence
S ~ ρ [1 – 2 exp(-TI / T1)] with TR > 5 ·T1
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 26
TI0
T1 Measurement: Inversion Recoveryinversion recovery (Mz(0) = -M0):
Mz(t) = M0 (1 – 2 exp(-TI/T1))
with Mz = 0 at TI = TI0:0.5 = exp(-TI0/T1)
→ T1 = -TI0 / ln(0.5) = TI0 / 0.7
14
Seite 14
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 27
a) RF impulse schema
b) timing of longitudinal magnetization Mz
c) induced measured signal: spin-echo SE
source: Schlegel and Bille. “Medizinische Physik Bd. 2” 2002
rephasing partof signal
dephasing partof signal
Spin-Echo Schema
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 28Movie: Spin-Echo II
© Plewes DB, Plewes B, Kucharczyk W. The Animated Physics of MRI, University Toronto, Canada
15
Seite 15
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 29T2 Measurement: Spin Echo
spin-echo (Mxy(0) = M0):
Mxy(t) = M0 exp(-t/T2)
T2 Measurement: Spin-Echo
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 30
Imaging
Imaging
16
Seite 16
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 31
interaction of spins with static magnetic
field B0 → M0
ω = γ.B0
interaction of protons with resonant magnetic radiofrequency field
B1 → FID signal
linear magnetic field gradient
across the objectG → spatial encoding
ω(x) = γ.B(x)ΔE = hω
B0 B(x) = B0 + Gx·x
Magnetic Resonance Imaging: Principle
x
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 32
typical value for G: 1 - 25 (40) mT/m
example:x = 30 cm, B0 = 1 T, G = 10 mT/m
B = 0.9985 T .... 1.0015 T
Gradient Coil: Principle I
coil for static B0 field
z-gradient
x-gradient
y-gradient
17
Seite 17
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 33
radiofrequency:ω(z) = γ (B0 + Gzz)
gradient Gz
magnetic field gradient, i.e. Gz
z
G
Gradient Field: Slice Selection
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 34
zz Gf
Gd
⋅Δ
=⋅
Δ=
γπ
γω 2
)zGB()z( z ⋅+⋅= 0γω
1. slice thickness d = z2 - z1 can be varied by RF bandwidth (frequency width) or gradient strength Gz.
2. slice position can be changed by shifting the frequency spectra with constant RF bandwidth
ω ω
I(ω)
ω (z2)
ω (z1)
ω0
ω = γ (B0+Gzz)
zz1z2
d
frequency spectraof RF pulse
Slice Selective Excitation
18
Seite 18
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 35
“dephasing” of transversal magnetization after unipolar
gradient pulse
z-gradient with compensation and RF sinc-pulse for creating a homogeneous
transversal magnetizationsource: Dössel. “Bildgebende Verfahren in der Medizin” 2000
Gradient Compensation
excitedslice
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 36
Gz
t
Gx
t
t
signalacquisition - superposition of a gradient field
Bx= Gx·x during the acquisition phase results in:
ω(x) = γ (B0+ Gx·x)
where the Lamor frequency islinked with the spatialinformation x
- spatial information is encodedin the precision frequency of thetransversal magnetization
Frequency Encoding: Gradient Schema
RF
19
Seite 19
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 37
- FID-signal S(t) is digitalized by using an “analog to digital converter” ADC and a discrete timing interval Δt in a total acquisition window taq
- for the Fourier-analysis of the FID-signal there are in total N = taq/Δt measured data points:
S(Δt), S(2Δt), S(3Δt), … , S(NΔt)
- spatial resolution in x-direction Δx is given by the sampling theorem:
Δx = X / N = 2π / γ Gx N Δt
with X: the maximum object diameter (FOV), N: number of sampling points,Gx: gradient strength, Δt: sampling interval (1/Δt = bandwidth BW in Hz/pixel)
Frequency Encoding: Spatial Resolution
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 38
slice selectiongradient
phase encodinggradient
Gz
Gy
yTy
- phase encoding is performed before signalacquisition
- gradient field is switched on for a constant time Ty
-gradient strength is increased stepwise by ΔGy after every sequence passage
Phase Encoding: Gradient Schema
- phase encoding gradient includes aspatial dependency of the spin phase according to:
φp = – γ · Gy · y · ty
20
Seite 20
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 39k-Raum
the k-space construction is a relation between spatial encoding (phase and frequency encoding)
and the Fourier transformation
frequency encoded signal:
∫∞
∞−
→⋅⋅⋅⋅−
→
⋅⋅=→→
xdextS txGi γρ )()(
tGk ⋅⋅⋅
=→→
πγ
2
∫∞
∞−
→⋅⋅⋅⋅−
→→
⋅⋅=→→
xdexkS xki πρ 2)()(
K-Space: Definition
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 40
constant gradient results in a straight trajectory
change in polarity inverts the trajectory
refocusing pulse (180°)inverts phase
(mirroring at origin)
read
phase
read
phase RF180°-pulse
Surfing through k-Space
21
Seite 21
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 41Movie: 2D K-Space X and Y
© Plewes DB, Plewes B, Kucharczyk W. The Animated Physics of MRI, University Toronto, Canada
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 42Movie: 2D K-Space X and Y
© Plewes DB, Plewes B, Kucharczyk W. The Animated Physics of MRI, University Toronto, Canada
22
Seite 22
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 43
k-space
image
Fouriertransformation
kx
ky
y
x
hologram
K-Space: Summary
density
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 44
xx W
k 1≤Δ
yy W
k 1≤Δ
samplingtheorem:
⎩⎨⎧
⋅Δ⋅=ΔΔ⋅⋅=Δ
peyy
xx
TGktGk
γγ
source: Liang and Lauterbur. “Principles of Magnetic Resonance Imaging” 2000
K-Space: Sampling Requirements I
Gx : frequency encoding gradientΔt : frequency encoding intervalΔGy : phase encoding incrementTpe : phase encoding interval
23
Seite 23
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 45
yNTWTG
xNGWGt
ypeypey
xxxx
Δ⋅⋅⋅⋅
=⋅⋅
⋅≤Δ
Δ⋅⋅⋅⋅
=⋅⋅
⋅≤Δ
γπ
γπ
γπ
γπ
22
22
K-Space: Sampling Requirements II
Nyquist - interval
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 46
- during a MR measurement the signal S(t) is discretely sampled (frequency encoding interval Δt) in a total acquisition time taq (typical 5 - 30 ms)
→ number of measuring points N = taq / ΔtS(Δt), S(2Δt), ... S(NΔt)
⇒ spatial resolution Δx is limited by:
tNGNW
xxxx
x
Δ⋅⋅⋅==Δ
γπ2
Δx = 1.593 mm
Wx = N · Δx = 50 cm⇒
example: Nx = 256Δt = 30 µs Gx = 1,566 mT/m
Example
24
Seite 24
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 47
TR
TE
90
-
60ms
40
-
10ms
T1-weighted
T2-weighted
proton-weighted
300 - 800 ms 1500 - 3000 ms
no contrastSNR low
Spin-Echo Contrast: TR, TE
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 48
kx
k-space: after 1. TR k-space: after 2. TR k-space: after 256. TRky
Spin-Echo Sequence
25
Seite 25
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 49
PwTR = 2775 ms
TE = 17 ms
T2wTR = 2775 msTE = 102 ms
T1wTR = 575 msTE = 14 ms
Spin-Echo Images
32143421factorT2
2TE/T
factorT1
1TR/TSE ]1[S
−
−
−
− ⋅−⋅= eeρ
- SE gold standard technique for T1 and T2 morphology
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 50Spin-Echo: Multi-Slice
measurement #1
measurement #2
- interleaved SE measurement
- multi-slice SETR = 600 ms, TE = 10 ms→ about 60 slices can be measured
simultaneously !
1. slice
2. slice
3. slice
4. slice
5. slice
26
Seite 26
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 51Inversion Recovery Sequence
source: Reiser and Semmler. “Magnetresonanztomographie” 2002
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 52Inversion Recovery Images
321444 3444 21factorT2
TE/T2
factorT1
TR/T1TI/T1IR ]21[S
−
−
−
−− ⋅+−⋅= eeeρ
27
Seite 27
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 53
α
- example: α = 20° Mz - reduction by 6%Mxy- value 34% of Mz!!
M
x´,y´
z
Mz
Mxy
Gradient-Echo Sequence
spoiler
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 54
SE GE
α = 90° / 180°TE = 20 ms
TR = 600 ms
Taq: minutes
α = 25°TE = 7 ms
TR = 20 ms
Taq: seconds !!
Gradient-Echo: Measuring Time
28
Seite 28
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 55
Mansfield and Pykett. JMR 1978
Fast Gradient-Echo Imaging: EPI
- “echo-planar imaging” EPI- multi-gradient imaging technique- single-shot technique with strong requirementsto the gradient power
- strong T2* dependency → susceptibility artifacts !- fastest imaging technique
Sir Mansfield2003 Nobel prize in medicine
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 56Fast Gradient-Echo Imaging: EPI Technique
29
Seite 29
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 57EPI Problem: Static Inhomogeneities
gradient echo EPI
2. echo shift of oddagainst even echoes
1. distortions in phase direction
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 58
classical EPI
Fast Gradient-Echo Imaging: EPI Methods
spin-echo EPISE-EPI
30
Seite 30
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 59Exercise: Measurement of the ADC
)exp(0 bDSS −=
1. Calculate the apparent diffusion coefficient (ADC) from the DWI images in White Matter (WM), Grey Matter (GM), and Cerebrospinal Fluid (CF)
Experiment #1: 2 images were measured (DWI_b0.IMA, DWI_b1000.IMA, data at: http://www.ma.uni-heidelberg.de/inst/cbtm/ckm/lehre/„Medical Physics: Lab Rotation MR-Radiology“) with b = 0 and 1000 s/mm2. Plot signal intensity (= pixel mean value of ROI) semi-logarithm as a function of b-value and calculate ADC
- group 1: CF ( )
- group 2: WM ( )
- group 3: GM ( )
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 60Exercise: Measurement of the FA
23
22
21
321 )²()²()²(23
λλλ
λλλλλλ
++
−+−+−=FA
⎟⎟⎟
⎠
⎞
⎜⎜⎜
⎝
⎛
zzyzxz
yzyyxy
xzxyxx
DDDDDDDDD
3λ1λ
2λ
2. Calculate the fractional anisotropy (FA) from the DTI images in White Matter (WM), Grey Matter (GM), and Cerebrospinal Fluid (CF)
Experiment #2: 6 images were measured (DTI_b1000_1.IMA … DTI_b1000_6.IMA, data at: http://www.ma.uni-heidelberg.de/inst/cbtm/ckm/lehre/„Medical Physics: Lab Rotation MR-Radiology“) with b = 1000 s/mm2 and 6 different directions. Evaluate signal intensity (= pixel mean value of ROI) for the different directions andcalculate FA
- group 2: CF ( )
- group 3: WM ( )
- group 1: GM ( )
31
Seite 31
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 61
Diffusion
Diffusion
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 62Free Diffusion
Dtx 6² =• mean diffusion length
(D = diffusion coefficient, t = time)
32
Seite 32
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 63Principle of DWI I
without diffusion weighting:
with diffusion weighting:
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 64Principle of DWI II
constant phase in the rotating reference frame
position of the spin in the rotating reference frame
after 90° pulse
33
Seite 33
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 65Principle of DWI III
1. gradient relative phase shift in the rotating frame
without diffusion:
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 66Principle of DWI IV
without diffusion:
2. gradient rephasing of the phase gradient echo
34
Seite 34
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 67Principle of DWI V
with diffusion:
1. gradient relative phase shift in the rotating frame
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 68Principle of DWI VI
with diffusion:
diffusion during the gradients spins on a different position
35
Seite 35
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 69Principle of DWI VII
2. gradient spins not completely rephased signal reduction
with diffusion:
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 70Dependence of the Signal Decay
)exp(0 bDSS −=( )3/222 δδγ −Δ= Gbstrength of the diffusion weighting:
signal decay:
• b-value can be calculated from the sequence• two DWIs are necessary to calculate D
36
Seite 36
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 71Diffusion Measurement: Calculation of D
b-values = 0.5 – 1100 s/mm2
white matterD ~ 0.6 · 10-3 mm2/s
waterD ~ 2.4 · 10-3 mm2/s
Measurement of D in biological tissue is called ADC0 200 400 600 800 1000
b-value [s/mm2]
ln(s
igna
l) [a
.u.]
100
1
000
S = S0 · e-bD
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 72
Axon
free diffusion along the fiber
restricted orthogonal to the fiber
0,5 μm
1 μm
Bealiue, NMR Biomed., 2002
Anisotropic Diffusion
37
Seite 37
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 73Diffusion Tensor Imaging (DTI)
⎟⎟⎟
⎠
⎞
⎜⎜⎜
⎝
⎛
DD
D
000000
⎟⎟⎟
⎠
⎞
⎜⎜⎜
⎝
⎛
zzyzxz
yzyyxy
xzxyxx
DDDDDDDDD
⎟⎟⎟
⎠
⎞
⎜⎜⎜
⎝
⎛
z
y
x
DD
D
000000
1λ
2λ3λ
1λ
diffusion ellipsoid
diffusion tensor
water molecule
3λ
1λ
2λ
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 74
derived quantities
DTI: Quantification
apparent diffusion coefficient
( )3
321 λλλ ++=ADC
fractional anisotropy (FA)
23
22
21
321 )²()²()²(23
λλλ
λλλλλλ
++
−+−+−=FA
0 < FA < 1
38
Seite 38
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 75Fractional Anisotropy
FA-map FA-colormap
white matter: FA = 0.4 – 0.8
grey matter:FA = 0.05 – 0.2
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 76
post mortem atlasin vivo DTI
- fibertracking method:using main eigenvector of diffusion tensor the main direction of fibers can be tracked pixel by pixel
3D Fibertracking
Stieltjes et al. Neuroimage 2001
39
Seite 39
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
12/22/2010 | Page 77
Safety Aspects
Safety Aspects
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 78MRI System with Superconducting Magnet
Siemens MagnetomSymphony
• B0 = 1.5 Tesla• Quantum-gradient:
30 mT/m• slew rate: 125 T/m/s• removable patient couch• short magnet: 1.6 m• relatively open bore• 8 receiving channels
40
Seite 40
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 79Warnings
warnings:
• strong magnetic field
• radiofrequencyinterdictions:
• cardiac pacemaker
• open fire
• metallic implants
• watch, camera
• magnetic fire extinguisher
• metal: scissor, key
• magnetic disc
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 80Static Magnetic Field: B0 I
control area: 0.5 mT - line
source: Reiser and Semmler. “Magnetresonanztomographie” 2002
41
Seite 41
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 81
B0
• missile effect• strong forces to ferromagnetic
materials
• forces and torques to implants• stent• gunshot wound, rest of projectile
• failure of electromagnetic devices• cardiac pacemaker• computer• controlling system
• physiologic effects• vertigo when entering the magnet
(> 3 Tesla)
B0 - Danger
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 82
courtesy: Gross. Siemens Erlangen
B0 – Example II
42
Seite 42
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 83B0: MR – Compatible Fire Extinguisher
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 84B0: Emergency Switch-Off Magnet
when ?• only in case of emergency
• if people have to be saved• and if saving is not possible due
to magnetic field forces
how ?• inducing magnet quench
• press “magnet stop” switch• all persons should be saved and
leave the magnet room quickly• acute danger of suffocation• protect magnet room
43
Seite 43
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 85B0: Danger from Cold Gases and Fluids
magnet as pressure tank• quench
• evaporation of fluid helium• high pressure• quench pipeline to outdoor• cold gases can come into the
examination room• „burning“ at cold surfaces• displacement of oxygen• danger of suffocation
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 86
magnet stop• interrupts super-conduction,
magnet coil gets normal conducting
• current in magnet coil comes to rest
• coil wires get hot and helium evaporates (quench)
• magnetic field is switched off
emergency stop• all electric systems of the MR
system are switched off• magnetic field is still on• cooling system is off• magnet stop is still possible since
battery-operated
B0: Magnet Stop and Emergency Stop
44
Seite 44
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 87B1: Gradient Field G(t)
G(t)• temporal variation of magnetic field
(dB/dt)• induction of eddy currents in the
object / body• eddy currents run through nerves• peripheral nerve stimulation• stimulation of myocardium ?• interaction with implants
• extreme noise• ear protection
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 88RF: Radiofrequency
radiofrequency field• is directly absorbed • critical value:
specific absorption rate (SAR)• can be resonant induced in
conductive structures• creates offset currents in tissue• massive heating• flashover• destroys not connected coils
Wagle and Smith. AJR 2000
45
Seite 45
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 89RF: SAR Critical Values
→ patient weight and age are relevant for safety !
body part normal
temperature increase body stem
1. level 2. level
whole bodypart bodyheadlocal (head, body)local (extremities)
scales with the ratio of “exposed patient mass / total patient mass”
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 90RF: Flashover
46
Seite 46
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 91B0 and RF: Implants
contra indication• cardiac pacemaker• neuro stimulators
(deep brain stimulators)• ferromagnetic implants• gun projectiles• paramagnetic stents up to 2 weeks
after implantation
information• http://www.mrisafety.com• Shellock FG.
Reference Manual for Magnetic Resonance Safety, Implants, and Devices: 2006 Edition.
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 92MR Safety Labeling
MR safe• an item which poses no known hazards in all MR environments
MR conditional• an item which has been demonstrated to pose no known hazards
in a specified MR environment with specified conditions of use. Field conditions that define the specified MR environment include
• field strength, • spatial gradient, • dB/dt (time rate of change of the magnetic field), • radio frequency (RF) fields, and • specific absorption rate (SAR).
• additional conditions, including specific configurations of the item, may be required
MR unsafe• an item which is known to pose hazards in all MR environments
ASTM International. Standard practice for marking medical devices and other items for safety in the magnetic resonance environment. F 2503-05
47
Seite 47
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 93Light Vizier
patient localizing and referencing• ask patient for closing eyes before
laser switch on
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 94Danger of Crushing
couch movement• watch position of arms and fingers• save connections, ECG-wires, and
alarm ball• push “couch stop” – patient couch can
be moved manually
48
Seite 48
RUPRECHT-KARLS-UNIVERSITY HEIDELBERG
Computer Assisted Clinical MedicineAndreas Lemke
| Page 95MR Safety Aspects: Summary
static magnetic field• missile effect• influencing equipments• physiological effects
gradients• peripheral nerve stimulation• noise
radiofrequency• heating• coils connected ?
cold gases / fluids• suffocation• “burning”
emergency procedures• magnet stop• emergency stop• couch stop
patient information• patient information sheet• alarm ball
control area• watch and take care about• unknown people (i.e. service and cleaning
people, anesthesia doctors and staff, ...)• unknown equipment and systems before
bringing into the magnet room