FREQUENCY SELECTIVE EXCITATION

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Transcription:

PULSE SEQUENCES

FREQUENCY SELECTIVE EXCITATION RF Grad 0 Sir Peter Mansfield

A 1D IMAGE Field Strength / Frequency Position

FOURIER PROJECTIONS MR Image Raw Data FFT of Raw Data

BACK PROJECTION Image Domain Gradient Encoding 2D Fourier Transform real imaginary Fourier Domain Paul Lauterbur

EQUIVALENT STRATEGIES IN K-SPACE* Gradient Samples Time Gradient Gradient Samples Gradient Time *Ignoring effects of signal decay and sample motion Samples

GRADIENT PRE-ENCODING Signal Gradient Samples Signal Gradient Samples Time Signal Gradient Samples

INTERLEAVED SPATIAL ENCODING Gradient 1 Gradient 2 A2 A1 Samples Points indicated in black are affected by Gradient 1 but NOT by Gradient 2 Points indicated in Blue are affected by both gradients

EPI K-SPACE TRAJECTORY k-space plots the integral of the gradient encoding. k-phase k(x,y,t) = γ T 0 G(x,y,t)dt Its Fourier transform is the image. k-frequency

CONVENTIONAL SPATIAL ENCODING tr RF Grad 0 Grad 1 te Grad 2 A2 A2 A2 A1 A1 A1 Samples

CONVENTIONAL K-SPACE TRAJECTORY +Kphase tr -K frequency

SPIRAL ky Gx kx Gy

3D K-SPACE k y kz k x

3D K-SPACE Gz tr Gy Gx Imaging time = tr * Nz * Ny

MULTI-SLICE MRI tr RF Slice 1 Slice 3 Slice 2 Slice 4 Slice 1 te Gz Gy Gx t slice N = slices tr / tslice

SPATIAL ENCODING tr RF Grad 0 Grad 1 te Grad 2 A2 A2 A2 A1 A1 A1 Samples

CONTRAST ENCODING tr tr RF Grad 0 Grad 1 te te Grad 2 A2 A2 A2 A1 A1 A1 Samples

B0 SPIN DEPHASING

T2 AND TE 1 Signal 0.5 S(t) = M xy (t) = M 0 e te T 2 CSF Brain Fat 0 0 60 Time (milliseconds) 120

PARTIAL SATURATION tr tr Sequence of 90 Pulses NMR Signal

EFFECTS OF TE AT LONG TR

EFFECTS OF TR AT SHORT TE te=17 nex=1 thick=3mm Matrix=256x256 BW=16kHz

CONTRAST, TR AND TE Long Proton Density T2-Weighted tr Short T1-Weighted Short Long te

CONTRAST, TR AND TE Density T2 Long tr T1 Short Short te Long

T2-WEIGHTED EPI SCAN Metastatic (cancer) lesions, and many others, typically appear bright on T2- weighted MR images

OBSERVED RELAXATION RATE The Observed Transverse Relaxation Rate, T2*, is the sum of several components: 1 1 1 1 = + + T2* T2 T2 T2 D Molecular Field Inhomogeneity Diffusion

HAHN SPIN ECHO 1. 2. 3. 4. 180 pulse 90 pulse 5. rephasing dephasing 6. spin echo

B0 SUMMARY ANIMATION

90 180 MULTI-ECHO 180 T2* T2* T2 TE1 TE2

INVERSION RECOVERY 180 90 1 Mz 0.5 0 0.5 CSF Brain Fat 1 Mxy 0.5 1 500 0 500 1000 1500 2000 2500 3000 3500 4000 Time (ms) 0 0.5 1 500 0 500 1000 1500 2000 2500 3000 3500 4000 Time (ms) TI=700ms

3D T1 Images TE = 3.2 TR = 14.4 124 slices 1.25 mm thick 1 NEX Flip Angle 20 TI = 500

Sample Data Set (normal) Fast Spin Echo 3 mm Slices 3D IR-SPGR TE = 3.2, TI = 700 SAMPLE DATA SET (NORMAL)

CONTRAST TO NOISE RATIO (GRAY-WHITE) Gray White 0.2 te 0.1 0 3 tr 6 tr, te in seconds -5% 0% +3% -5% 0% 3% Contrast = [(1 e tr /1.2 )e te /.08 ], gray matter [(1 e tr /1.0 )e te /.07 ], white matter

REDUCED FLIP ANGLE IMAGING Outline Determinants of Imaging Time TR, Saturation and Image Quality Reduced Flip Angle Techniques FLASH (=SPGR) FISP (=GRASS) Gradient Echoes Applications of Shallow Flip Imaging Ultra-Fast Imaging

DETERMINANTS OF IMAGING TIME Scan Time = Repetition Time (TR) x Number of Phase Encodes x NEX (Averages) x Number of 3D Steps

TR AND IMAGE QUALITY Reduced TR Yields: Decreased Scan Time Increased T1 Contrast Reduced (Useable) T2 Contrast Reduced Signal to Noise Ratio Increased Power Deposition Reduced Slice Coverage 36

SIGNAL AND FLIP ANGLE Small Flip Angle Large Flip Angle α α 37

SMALL AND LARGE FLIP ANGLE Loss of Longitudinal Magnetization Small Flip Angle Large Flip Angle

FLIP ANGLE AND TR/T1 1 0.8 0.6 90 45 0.4 0.2 0 0 1 2 3 4 20 10 5 0.25 0.2 0.15 0.1 0.05 20 45 10 90 5 0 0 0.02 0.04 0.06 0.08 0.1

Contrast and Flip Angle Large Flip Angles Short Long Long Short Proton Density T1 Weighted T2* Weighted Small Flip Angles Short Long Long Short Proton Density Proton Density T2* Weighted T2* Weighted

A 180 PULSE IS NOT USED IN FLASH IMAGING z x z After 180 Pulse z x y Initial Magnetization y After Small RF Pulse y x

T2 AND T2* T2: Transverse Magnetization Decay from Spin-Spin Interactions T2*: Transverse Magnetization Decay from Local Magnetic Field Variations

SIGNAL AND TE GRADIENT ECHO TE=20 TE=40 TE=60 TE=80 TE=100

MAGNETIC SUSCEPTIBILITY The Extent to Which a Substance Becomes MAGNETIZED when Placed Within a Magnetic Field

MAGNETIC SUSCEPTIBILITY Objects with Susceptibility Different than Air Distort the Magnetic Field Applied Magnetic Field

T2* 100ms 0ms

SIGNAL LOSSES FROM SPIN DEPHASING B Inhomogeneous Magnetic Fields Within Voxels Result in Spin Dephasing and Signal Loss in Gradient Echo Sequences Capillary Gradients of several Gauss/cm may exist near deoxy-hb-filled capillaries.

CONTRAST OPTIMIZATION Contrast 43 ms TE >> T2a=40; T2b=45; te=0:150; >> contrast = exp(-te/t2b) - exp(-te/t2a); >> plot(te,contrast,'linewidth',3); >> find(contrast==max(contrast)) ans = 43

SPIN ECHO RF 90 180 Gz te Gy Gx 10 msec

FLASH RF te Gz Gy Gx 10 msec

FLASH RF te Gz Gy Gx 10 msec

FLASH MAGNETIZATION CYCLE 1. 2. α Longitudinal Recovery 3. α RF pulse followed by data collection Spoiling of transverse magnetization

FISP (GRASS) RF te Gz Gy Gx 10 msec

SSFP MAGNETIZATION CYCLE 1. 2. α Longitudinal Recovery and T2* relaxation α degree RF pulse and data collection 4. 3. α α degree RF pulse and data collection Longitudinal Recovery and T2* relaxation 54

SSFP RF te Gz Gy Gx 55

RF RF RF te te te Gz Gz Gz Gy Gy Gy Gx Gx Gx FLASH GRASS SSFP

3D MP-RAGE RF Gz 180 Repeat Ny times ti tr tr tr Gy Gx

PHASE MAPS RF te slice select readout Time shift in data collection amounts to a phase offset Spins precessing at different rates (different magnetic fields) will acquire different phase shifts

TRADEOFFS Volume Coverage tr slice thickness te

TRADEOFFS SNR tr te flip angle voxel volume contrast imaging time (e.g., averaging)

TRADEOFFS Imaging Time tr resolution total slices (due to vendor optimization)

TRADEOFFS SAR flip angle echo train length number of slices / tr total scan duration