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Hyperpolarization - Description, Overview & Method
Educational Session, ISMRM 2017
April 26, 2017
Peder Larson, Ph.D.
Associate Professor, Department of Radiology and Biomedical Imaging, University
of California, San Francisco, CA, United States
peder.larson@ucsf.edu
https://radiology.ucsf.edu/research/labs/larson
@pezlarson
Speaker Name: Peder Larson
I have the following financial interest or relationship to disclose with regard to the
subject matter of this presentation:
Company Name: GE Healthcare
Type of Relationship: Research Support
Declaration of
Financial Interests or Relationships
Outline
https://radiology.ucsf.edu/research/labs/larson/educational-materials
(Google: Peder Larson Lab, Educational Materials link on sidebar)
§ Hyperpolarization
• What does it mean?
• Dissolution Dynamic Nuclear Polarization (dDNP)
• Spin Exchange Optical pumping
• Para-hydrogen induced polarization (PHIP, SABRE)
§ Imaging Methods
• RF pulse strategies
• Acquisition strategies
• Analysis – kinetic models
April 26, 2017Hyperpolarization Methods3
Spin Polarization
4
Spins
µ
B = 0
µ
µ
µ
µ
M0 = 0
Net Magnetization
will be found to be either in the spin-up
state, no matter which mixed state cj i
re. Furthermore, it will stay in that new
proton is subject to more interactions
made: when subject to a magnetic field, an oblong pi-
ece of magnetizable material have a strong tendency
to align itself in one of two opposite directions paral-
lel to the field (in contrast to permanently magnetized
gure 2 In the absence of magnetic field, the spins are pointing randomly hence giving a
herical distribution of spin orientations. This is illustrated to the right by a large number of
ample spins in an implicit magnetization coordinate space similar to that of Fig. 1. [Color fig-
e can be viewed in the online issue, which is available at www.interscience.wiley.com.]
ON
Danish Research Centre for Magnetic Resonance. Educational Materials: http://www.drcmr.dk/educations/education-material
April 26, 2017Hyperpolarization Methods
Spin Polarization in a Magnetic Field
5
Spins
µ
B0
µ
µ
µ
µ
M0 ≠ 0
Net Magnetization
energies so the spins only have a slight tendency to
point along the direction of the field (and no
increased tendency to point opposite the field, neither
classically, nor quantum mechanically). The situation
can be compared to the one described earlier involv-
ing a hypothetical collection of compasses placed in
the earth magnetic field. All compasses will swing to
It is important to understand that precession of the
individual nuclei starts as soon as the sample is
placed in the field (not only after excitation by RF
fields, as frequently stated). The nuclei therefore emit
radio waves at the Larmor frequency as soon as they
are placed in the field. Similarly, however, they
absorb radio waves emitted by their neighbors and
surroundings. Because the distribution of spin direc-
tions is even in the transversal plane, the net trans-
versal magnetization is zero, and there is no net
exchange of energy between the sample and its sur-
roundings. The exchange of radio waves within the
sample is nothing but magnetic interactions between
neighboring nuclei. These are responsible for
relaxation.
Myth 2: MR Is a Quantum Effect
A quantum effect is a phenomenon that cannot be
adequately described by classical mechanics, i.e., one
where only QM give predictions in accordance with
observations. In the introduction, it was stated that
atom formation is a quantum effect because atoms
are not expected to be stable according to classical
mechanics, whereas experiments have proven that
they are. This does not imply that all phenomena
involving atoms are defined as quantum effects, since
such a broad definition would be quite useless.
Instead, phenomena are hierarchically divided into
classical and quantum phenomena, so a classical phe-
nomenon can involve atoms that are themselves inex-
plicable by classical mechanics. Similarly, proton
spin is a quantum effect but MR is not since the latter
is accurately described by classical mechanics. This
is the subject of the present section.
It is often and correctly said that spin is a quantum
effect. From a classical perspective it cannot be
Figure 3 Better alternative to Fig. 1 showing the spin
distribution in a magnetic field. The spins will precess as
indicated by the circular arrow and a longitudinal equilib-
rium magnetization (large vertical arrow) will gradually
form as the distribution is skewed slightly toward mag-
netic north by T1-relaxation (uneven density of arrows).
The equilibrium magnetization is stationary, so even
though the individual spins are precessing, there is no net
emission of radio waves in equilibrium. [Color figure can
be viewed in the online issue, which is available at
www.interscience.wiley.com.]
UNDERSTANDING MAGNETIC RESONANCE 333
Polarization fraction:
0.0001-0.0005% at room temperature, depending on nucleus (γ) and field (B0)
tanh
−hγB0
2πkT
"
#
$
%
&
'
April 26, 2017Hyperpolarization Methods
Hyperpolarization
§ Perturb spins from thermal
equilibrium to increase fraction
aligned parallel (or anti-parallel)
to B0
§ Polarizations of > 50%!!
§ Methods:
• Optical pumping (for gasses,
ie 3He, 129Xe)
• Parahydrogen-induced
Polarization (PHIP)
• Dynamic Nuclear Polarization
(DNP)
6
Hyperpolarized MRS
Normal MRS
B0
Net Magnetization
April 26, 2017Hyperpolarization Methods
Spin Exchange Optical Pumping
§ Polarization of noble gases (e.g. 3He, 129Xe)
§ Mixtures of alkali-metal vapors and noble gases
irradiated with circularly polarized resonant light
§ Major application is pulmonary imaging for lung
disease
April 26, 2017Hyperpolarization Methods7
Hyperpolarized 129Xe MRI
Walker et al. Rev Mod Phys 1997, doi:10.1103/RevModPhys.69.629
Roos et al. Magn Reson Imaging Clin N Am. 2015, doi: 10.1016/j.mric.2015.01.003
Para-hydrogen Induced Polarization (PHIP)
§ Parahydrogen is the Singlet
State of Hydrogen gas, H2
§ MR invisible, can store
magnetization
§ Transfer the polarization from
the singlet-state to other nuclei
April 26, 2017Hyperpolarization Methods8
Triplets, T+, T0,
T-
Singlet, S0
para hydrogen
1H
1Hpara
hydrogen
1H
Ir
hyperpolarized
substrate1H
reversible
exchange
reversible
exchange
1H
1H
J
J SABRE
Adams, … , Duckett et al.
Science 2009 323, 1708
Content Courtesy Thomas Theis
Signal Amplification By Reversible Exchange (SABRE)
§ At the appropriate magnetic field (e.g. 6.5 mT for hyperpolarization of protons), J-coupling
interactions across the iridium catalyst drive hyperpolarization from parahydrogen to substrate.
§ Reversible exchange of both, parahydrogen and substrate, leads to continuous
hyperpolarization buildup.
§ Heteronuclear SABRE greatly generalizes the substrate scope and enables long
hyperpolarization lifetimes.
April 26, 2017Hyperpolarization Methods9
R1H
1H 15N
Ir
15N
para
hydrogen
hyperpolarized
substrate
reversible
exchange
reversible
exchange
1H
1H
15N
R
R
Theis et al. JACS 2015 137 (4), 1404
Content Courtesy Thomas Theis
SABRE Discussion
Primarily limited to molecules containg sp or sp2 hybridized nitrogens
§ Pros
• Relatively Simple and Fast
• Uses inexpensive equipment
• Long-Lived States can be
hyperpolarized directly
§ Cons
• Limitations on polarizable
substrates
• Reduced efficiency in water
• Removal of the toxic
hyperpolarization catalyst
Colell et al. JPCC 2017 121(12), 6626
Substrates:
Primarily limited to molecules containg sp or sp2
hybridized nitrogens
Content Courtesy Thomas Theis
April 26, 2017Hyperpolarization Methods10
Dynamic Nuclear Polarization (DNP)
§ Microwaves at appropriate frequency transfer polarization from electrons to nuclei
§ High magnetic field increases polarization of both nuclear and electron spins
§ Very low temperature also used to increase polarization of both nuclear and electron spins
11
Temperature (K)
Polarization
proton
carbon
10-3
0
0.5
1 electron
10-2 10-1 10-0 101 102
At 1.2K,
Pe= 94% &
PC= 0.086%
For B0 = 3.35 TSample: Amorphous solid material doped with
unpaired electrons at a ratio ~ 1 free electron:1000 13C
April 26, 2017Hyperpolarization Methods
3.35 T and ~1.2o
K
γelectron B0 = 94 GHz
γC-13 B0 = 35 MHz
HyperSense Dissolution DNP Polarizer
12
Microwave
Irradiation at
γelectron B0 ±
γC-13 B0
April 26, 2017Hyperpolarization Methods
• The buffer is heated and pressurized
• The sample space is pressurized
• The sample is raised out of the liquid
helium
• The dissolution stick is lowered,
docking with the sample holder
• The solvent is injected, dissolving the
sample, while preserving the
enhanced polarization
Slide courtesy of Jan Henrik Ardenkjaer-Larsen, GE Healthcare
Dissolution DNP Procedure
13 April 26, 2017Hyperpolarization Methods
SpinLab Clinical Polarizer
1
2
3 4
SpinLab
Polarizer
Ardenkjaer-Larsen et al. NMR Biomed 2011; 24:927
5 T and ~0.8o
K
γelectron B0 = 140 GHz
γC-13 B0 = 52 MHz
Automated Quality
Control System
April 26, 2017Hyperpolarization Methods14
Dissolution DNP 13C Agents
Requirements
• Long T1 relaxation time (polarization half-life)
• Water-soluble is best
• Mixture with free electron source, aka electron
paramagentic agent (EPA), free radical
• Low Toxicity
• In vivo interest
Agents
• [1-13C]-pyruvate: metabolism, Warburg effect
• 13C-urea: inert, perfusion
• bis-1,1-(hydroxymethyl)-[1-13C]cyclopropane-d8 (HMCP,
HP001): long T1 perfusion agent
• [1,4-13C2]-fumarate: necrosis
• 13C-bicarbonate: pH measurement
• [2-13C]-fructose: metabolism
• [5-13C]-glutamine: metabolism, cell proliferation
• 13C-dehydroascorbate (DHA): Reduction/oxidation
potential
• [1-13C]-α-ketoglutarate: IDH mutation status
• [U-2H, U-13C]-glucose: metabolism
• and more
(Review article : Keshari, Wilson. Chem Soc Rev, 2014.)
Wilson,	et	al.	JMR	2010.
Simultaneous	
polarization	of	multiple	
agents
April 26, 2017Hyperpolarization Methods15
M	G	Vander Heiden et	al.	Science	2009;324:1029-1033
April 26, 2017Hyperpolarization Methods16
Hyperpolarized Carbon-13 Pyruvate
13C-Pyruvate
§ Most promising HP agent thus far
§ Long T1 (≈ 40-60 s)
§ Readily polarizable
§ Endogenous
§ Rapid uptake and conversion to
lactate, alanine, and bicarbonate
§ Directly probes the “Warburg Effect”
in cancer
§ (Safety and feasibility established in
prostate cancer patients)
17
Warburg Effect
M	G	Vander Heiden et	al.	Science	2009;324:1029-1033
Glycolysis
April 26, 2017Hyperpolarization Methods
Bloch Equation
18
d
dt

M =

M ×γ

B+
−1/T2 0 0
0 −1/T2 0
0 0 −1/T1
#
$
%
%
%
%
&
'
(
(
(
(

M +
0
0
M0 /T1
#
$
%
%
%
&
'
(
(
(
Net magnetization behavior, hyperpolarized or at thermal equilibrium, is
described by Bloch equation:
Precession
RF Excitation
Relaxation back to thermal
equilibrium:

M =
0
0
M0
!
"
#
#
#
$
%
&
&
&
April 26, 2017Hyperpolarization Methods
Relaxation to Equilibrium
19
T1 decay of Mz (~50 s in vivo for [1-13C]pyruvate)
Hyperpolarization
M0
10000 M0
M0
April 26, 2017Hyperpolarization Methods
Relaxation to Equilibrium
20
T2 decay of Mxy
(~100ms-2s in vivo for pyruvate)
RF
excitation
xy
z
April 26, 2017Hyperpolarization Methods
13C MR of Pyruvate Metabolism
21
Dynamic MR Spectrum in vivo
frequency
Pyruvate
13C
Lactate
13C
Bicarbonate
13C
Pyruvate-hydrate
Following injection of
13C-pyruvate
Alanine
13C
April 26, 2017Hyperpolarization Methods
Hyperpolarized 13C Imaging Procedure
1. Hyperpolarization of 13C-pyruvate (45-90 mins)
2. Rapidly dissolution of frozen compound to create a hyperpolarized liquid agent (10 sec)
3. Agent is injected to the subject inside the MRI scanner (10 sec)
4. 13C MRI/MRSI is performed immediately (1-2 mins)
22
1,2 3
4
April 26, 2017Hyperpolarization Methods
MR Pulse Sequence Components
1. Excite spins (RF)
2. Readout signal (spectral
and/or spatial encoding)
3. Repeat
23
Magnetization
Vector
MZ
MXY
Signal
RF
DA
Q
T2
T1
1.
1.
2.
2.
x NTR
3.
T2
T1
April 26, 2017Hyperpolarization Methods
Hyperpolarized RF Pulses
Two key considerations:
1. Efficient use of hyperpolarization
• Variable flip angles
• “Multiband” excitation
2. Spectral selectivity
• Spectral-spatial RF pulses
April 26, 201724 Hyperpolarization Methods
Constant Flip Angle
§ Received signal varies between excitations (can cause blurring)
§ Residual unused hyperpolarization after last excitation
April 26, 201725
S1 S2 S3 S4 S5 S6
θ
θ
θ
θ
θ θ
MZ
MXY
Hyperpolarization Methods
Variable/Progressive Flip Angle
§ Flip angle is strictly increasing
§ Received signal constant when accounting for lost magnetization (Si = C)
§ Efficient usage of all polarization
April 26, 201726 Zhao, et, JMR B 113 (2) (1996) 179–183.
Nagashima, JMR 190 (2) (2008) 183–188.
θ1
S1
θ2 θ3
S2 S3
θ4
S4
θ5=
45°
S5
θ6 =
90°
S6
MZ
MXY
Hyperpolarization Methods
Dynamic Imaging: Conventional Excitation
April 26, 201727
Lactate
13C1
Pyruvate
13C1
flip	angle
2.5°
5°
10°
20°
time
received	signal
Excess	
Pyruvate	SNR
Hyperpolarization Methods
Dynamic Imaging: Multiband Excitation
April 26, 201728
flip	angle
2.5°
5°
10°
20°
time
received	signal
More	lactate	
SNR	for	more	
time
Pyruvate	
SNR	is	still	
sufficient
Smaller	pyruvate	flip	leaves	
more	magnetization	that	can	
then	become	lactate
Lactate
13C1
Pyruvate
13C1
Hyperpolarization Methods
Multiband Variable Flip Angle Excitation
Combination of
§ Variable flip angle across acquisitions for improved SNR
§ Multiband pulse designs to account for metabolic conversion between acquisitions
April 26, 201729
MANUSCRIPT SUBMITTED TO IEEE TRANSACTIONS ON MEDICAL IMAGING
acquisition number
0 5 10 15 20 25 30
flipangle(degrees)
0
20
40
60
80
100
Optimized flip angle sequence
pyruvate
lactate
Fig. 3. Optimized flip angle sequence for estimating the metabolic rate
parameter kP L using the nominal parameter values in Table I and a sampling
interval TR = 2 s between acquisitions.
estimation error that
measurements. It is no
of data sets in vivo, a
truth values. Thus we
our optimized flip ang
in estimates of the m
A. Two-step paramete
When fitting the da
different voxels will
parameters kT RANS,
change with spatial l
arterial input u(t). T
proceeds in two steps:
the entire data set, the
values of the remainin
Xing, Larson, et al, JMR 2014 John Maidens, et al, IEEE-TMI 2016, doi: 10.1109/TMI.2016.2574240
Flat Signal Response Optimal kinetic measurement
Hyperpolarization Methods
Spectral Selectivity
April 26, 201730
frequency
Pyruvate
13C
Lactate
13C
Bicarbonate
13C
Alanine
13C1
Use	spectrally	selective	RF	
pulses	to	control	flip	angles	
for	different	compounds
Hyperpolarization Methods
Spectral Excitation Profile
§ Design RF pulses for desired spectral profile
§ Fourier Transform relationship between RF pulse shape and Magnetization profile: Valid for small tip angles, < 30° (pretty close
up to 60°)
§ Non-linear relationship for large tip angles: Use Shinnar-Le Roux transform or other tools for RF pulse design
April 26, 201731
frequency
|MXY|
Fourier or
Shinnar-Le
Roux
Transform
f
[1-13C]pyruvate[1-13C]lactate
Hyperpolarization Methods
Spectral-Spatial RF Pulses
April 26, 201732
§ Add oscillating gradient for additional spatial selectivity
§ Additional constraints on spectral and spatial selectivity
§ Useful in vivo where spatial selectivity is important
Hyperpolarization Methods
Spectral-Spatial RF Pulse Design
Features:
• Simultaneous selectivity in frequency and position
• Customizable for different nuclei and MR hardware
• Multi-band specification
• Aliased bands are allowed
• Power minimization
• Time minimization
• Correction for non-uniform sampling
• VERSE for ramp sampling and peak B1 reduction
MATLAB code available at:
https://github.com/agentmess/Spectral-Spatial-RF-Pulse-Design
April 26, 201733 Kerr et al, ISMRM 2008 #226. Larson et al, JMR 2008.
Hong Shang, et al. JMR 2015.
Find Minimum-time Gradient Sublobe
Identify Consistent Spectral
Sampling Frequencies Fs
Find Minimum-Time Spectral Filter
Correct for Nonuniform Sampling
2D SLR Transform
Optimal VERSE
Choose Best Design
Multiband Specification
For each Fs
Next Fs
Hyperpolarization Methods
Hyperpolarized Acquisitions: Need for Speed
§ Rapid signal decay
§ Rapid metabolic conversion
§ Single image SNR decreases
with more excitations due to
T1 decay
§ Fast data acquisition is
important for HP agents
April 26, 201734
Simulated Single-Image SNR with T1
decay and progressive flip angle
Hyperpolarization Methods
Readout Strategies
Can be approximately grouped into three categories (from slowest to fastest)
1. MR spectroscopic imaging (MRSI)
2. Model-based Spectral decomposition with multiple TEs (Dixon/IDEAL)
3. MRI with spectrally-selective excitation (“Metabolite-specific Imaging”)
April 26, 201735 Hyperpolarization Methods
Fast MR Spectroscopic Imaging
§ Methods
• Echo-planar spectroscopic
imaging (EPSI)
• Spiral spectroscopic imaging
• Concentric Rings
• Radial EPSI
• Rosettes
• And More
April 26, 201736
Ky(cm-1
)
Ky(cm-1
)Ky(cm-1
)
time (ms)
time (ms)
time (ms)
Kx (cm-1
)
Kx (cm-1
)Kx (cm-1
)
0 20 40 60 80 100 120−1
-0.5
0
0.5
-1
-0.5
0
0.5
1
0 20 40 60 80 100 120
-1
-0.5
0
0.5
-1
-0.5
0
0.5
1
0 20 40 60 80 100 120
-1
-0.5
0
0.5
-1
-0.5
0
1
0.5
-1
0
1
0 20 40 60 80 100 120
0 20 40 60 80 100 120
-1
0
1
Symmetric EPSI
Flyback EPSI
Readout
time (ms)
Kx(cm-1
)Kx(cm-1
)
time (ms)
EPSI
Spiral Concentric Rings
Simultaneous acquisition of spectral and spatial
k-space data in (kx, ky, kz, t) or (kx, ky, kz, kf) space
Hyperpolarization Methods
MRSI Readouts
April 26, 201737
GZ
DAQ
GZ
kz
kf
kz
kf
DAQ
Phase Encoding
Echo-planar spectroscopic imaging (EPSI)
Hyperpolarization Methods
Accelerated MRSI Strategies
April 26, 201738
Ky(cm-1
)
Ky(cm-1
)Ky(cm-1
)
time (ms)
time (ms)
time (ms)
Kx (cm-1
)
Kx (cm-1
)Kx (cm-1
)
0 20 40 60 80 100 120−1
-0.5
0
0.5
-1
-0.5
0
0.5
1
0 20 40 60 80 100 120
-1
-0.5
0
0.5
-1
-0.5
0
0.5
1
0 20 40 60 80 100 120
-1
-0.5
0
0.5
-1
-0.5
0
1
0.5
-1
0
1
0 20 40 60 80 100 120
0 20 40 60 80 100 120
-1
0
1
Symmetric EPSI
Flyback EPSI
Readout
time (ms)
Kx(cm-1
)Kx(cm-1
)
time (ms)
EPSI
Spiral Concentric Rings
Furuyama J, et al. MRM
2012; 67:1515–1522
Jiang, et al, MRM 2016, doi:
10.1002/mrm.25577
Adalsteinsson E, et al. MRM
1998;39:889 – 898.
Mayer MRM 2006; 56:932–937.
Yen et al. MRM 2009; 62:1-10.
Ky(cm-1
)
Ky(cm-1
)Ky(cm-1
)
time (ms)
time (ms)
time (ms)
Kx (cm-1
)
Kx (cm-1
)Kx (cm-1
)
0 20 40 60 80 100 120−1
-0.5
0
0.5
-1
-0.5
0
0.5
1
0 20 40 60 80 100 120
-1
-0.5
0
0.5
-1
-0.5
0
0.5
1
0 20 40 60 80 100 120
-1
-0.5
0
0.5
-1
-0.5
0
1
0.5
-1
0
1
0 20 40 60 80 100 120
0 20 40 60 80 100 120
-1
0
1
Symmetric EPSI
Flyback EPSI
Readout
time (ms)
Kx(cm-1
)Kx(cm-1
)
time (ms)
Spiral Concentric Rings
Hyperpolarization Methods
Comparison of Accelerated MRSI Strategies
Tradeoffs
§ Speed
§ SNR efficiency
§ Robustness to hardware
imperfections
§ Bandwidth
§ Resolution
April 26, 201739
0.4 0.5 0.6 0.7 0.8 0.9 1
0
500
1000
1500
2000
2500
3000
Spectral Bandwidth
Resolution (cm)
SBW(Hz)
Concentric Rings
Symmetric EPSI
Flyback EPSI
Spiral
0.4 0.5 0.6 0.7 0.8 0.9 1
0
1
2
3
4
5
6
7
8
9
Acquisition Time
Resolution (cm)
AcquisitonTime(s)
Concentric Rings
Symmetric EPSI
Flyback EPSI
Spiral
0.4 0.5 0.6 0.7 0.8 0.9 1
0
500
1000
1500
2000
2500
3000
Spectral Bandwidth with Interleaves
Resolution (cm)
SBW(Hz)
Concentric Rings
Symmetric EPSI
Flyback EPSI
Spiral
0.4 0.5 0.6 0.7 0.8 0.9 1
0.65
0.7
0.75
0.8
0.85
0.9
0.95
1
SNR Efficiency
Resolution (cm)
SNREfficiency
Concentric Rings
Symmetric EPSI
Flyback EPSI
Spiral
Flyback
EPSI
Symmetric
EPSI
Concentric
Rings
Spiral
Speed - - + ++
SNR - ++ + ++
Robustness ++ - ++ --
Jiang, et al, MRM 2016, doi: 10.1002/mrm.25577Hyperpolarization Methods
Spectral Decomposition
§ Dixon/IDEAL (Iterative decomposition of water and fat with echo asymmetry and least-squares
estimation) methods: Originally developed for fat/water imaging
§ Reconstruct individual metabolite images based on known chemical shifts
§ Multiple TEs: minimum # of TEs = Npeaks(+1 if B0 field map estimated required)
April 26, 201740
TE2
x
y
TE1
x
y
Fat
Water
x
y
Fat
x
y
Water
TE1
x
y
TE2
x
y
TE3
x
y
TE4
x
y
Hyperpolarization Methods
Spectral Images
Δf = 0 Hz Δf = 614 Hz
Δf = 433 Hz Δf = 272 Hz
Spectral Decomposition: Spiral CSI
April 26, 201741
Brodsky et al. MRM 59(5): 2008 Wiesinger et al., MRM 68(1): 2012
RF
Spiral Readouts
TE1
TE2
TE3
TE4
Matrix
Inversion
FFT
Spectral
K-space
Hyperpolarization Methods
Spectral Decomposition: Oversampled Spirals
April 26, 201742
ΔTE
ΔTE
Critically
Sampled Spiral
(η = 1)
2 echoes
Twice
Oversampled
Spiral (η = 2)
1 echo
Gordon et al., MRM 2013
Hyperpolarization Methods
Single-shot Spiral MRI
Metabolite-specific Imaging
§ Idea: Excite only a single metabolite resonance,
followed by any imaging-based readout
§ Methods:
• Single-metabolite Spectral-spatial excitation
• Fast imaging readout (EPI, spiral)
§ Fast!
§ Requires chemical-shift separation of
metabolites, sensitive to B0 inhomogeneities
April 26, 201743
Spectral-spatial Excitation
Cunningham JMR 2008. Lau MRM 2010 NMR Biomed 2011
Hyperpolarization Methods
Metabolite-specific Imaging
§ Spectral-spatial excitation of
individual metabolites with
variable flip angles
§ Ramp sampled, symmetric EPI
§ 16 slices of pyruvate and
lactate images in 2 s
April 26, 2017
Cunningham et al. JMR 2008.
Gordon et al. MRM 2016. doi: 10.1002/mrm.26123.
Gordon et al. Proc ISMRM 2017 #728.
Hyperpolarization Methods44
Clinical Metabolite-specific Imaging
April 26, 2017
Cunningham et al. Circ Res 2016, doi: 10.1161/CIRCRESAHA.116.309769.
a b c
10
30
20
20
60
40
5
25
15
80
40
10
50
30
20
60
40
d e f
5 cm 5 cm 5 cm
5 cm 5 cm 5 cm
Pyruvate Bicarbonate Lactate
Pyruvate Bicarbonate Lactate
FIGURE 1
byguestonSeptember20,2016http://circres.ahajournals.org/Downloadedfrom
Cardiac imaging with Spiral Readout
Pyruvate
Lactate
Brain imaging with EPI Readout
Gordon et al. Proc ISMRM 2017 #728.
Hyperpolarization Methods45
Technique Comparison
Technique Pros Cons
MRSI Robust to off-resonance
Flexible spectral content
Slow
Spectral Decomposition
(IDEAL/Dixon)
Speed+SNR Peak locations must be known
Limits on sequence parameters (TE)
Metabolite-specific Imaging Speed+SNR (max!)
Works well with [1-13C]pyruvate spectrum
Sensitive to off-resonance
Requires spectrally separated metabolites
April 26, 201746 Hyperpolarization Methods
Parametrizations: Kinetic Modeling vs. alternatives
Numerous options
§ Kinetic modeling (e.g. kPL)
§ Lactate/pyruvate
§ Area-under-curve (AUCratio, Hill, et al.
PLoS One (2013).)
I advocate for unidirectional kPL model
• Insensitive to bolus delivery with any
sampling strategy
• Incorporate effects of RF pulses
• Compare kPL (1/s) across sites, imaging
protocols, and anatomy
• Simple (good for low SNR)
Daniels et al, NMR Biomed 2016, doi: 10.1002/nbm.3468
Hyperpolarization Methods47 April 26, 2017
Choice of Model
§ Models evaluated by Akaike Information Criteria (AIC)
which balances fit quality with number of model
parameters
a. Pyr-lac (all lumped)
b. Extravascular and intravascular compartments
c. Extravascular/extracellular, intracellular, and
intravascular compartments
§ Assumptions
• Neglect kLP, lactate transport. Gamma-variate
pyruvate input
• Pyruvate input estimated from heart voxels
• T1P = 45s, T1L = 25s
Bankson et al. Cancer Research 2016. doi: 10.1158/0008-5472.CAN-15-0171
April 26, 2017Hyperpolarization Methods48
“Input-less” Fitting
§ Actual pyruvate signal as input, change in
lactate as output
§ No assumptions or fitting of pyruvate input
§ Pros: Simple, insensitive to fitting errors in
pyruvate (e.g. incorrect bolus shape),
works with any sampling strategy
§ Cons: No estimate of perfusion
April 26, 2017
Inpsired by: Khegai, et al. NMR Biomed 2014, Bahrami, et al. Quant Imaging Med Surg 2014.
Hyperpolarization Methods49
kPL
https://github.com/agentmess/hyperpolarized-mri-toolbox
Hyperpolarized-MRI-Toolbox
https://github.com/agentmess/hyperpolarized-mri-
toolbox
§ MATLAB tools for designing and analyzing HP MRI
§ Open-source, contribute your coolest code!
§ Current Features
• EPSI waveforms
• Spectral-spatial RF
• Variable flip angles
• Kinetic Modeling
• Numerical phantom
§ Coming soon: Datasets for standardized comparisons
of analysis methods
April 26, 2017Hyperpolarization Methods50

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Hyperpolarization - Description, Overview, & Methods

  • 1. Hyperpolarization - Description, Overview & Method Educational Session, ISMRM 2017 April 26, 2017 Peder Larson, Ph.D. Associate Professor, Department of Radiology and Biomedical Imaging, University of California, San Francisco, CA, United States peder.larson@ucsf.edu https://radiology.ucsf.edu/research/labs/larson @pezlarson
  • 2. Speaker Name: Peder Larson I have the following financial interest or relationship to disclose with regard to the subject matter of this presentation: Company Name: GE Healthcare Type of Relationship: Research Support Declaration of Financial Interests or Relationships
  • 3. Outline https://radiology.ucsf.edu/research/labs/larson/educational-materials (Google: Peder Larson Lab, Educational Materials link on sidebar) § Hyperpolarization • What does it mean? • Dissolution Dynamic Nuclear Polarization (dDNP) • Spin Exchange Optical pumping • Para-hydrogen induced polarization (PHIP, SABRE) § Imaging Methods • RF pulse strategies • Acquisition strategies • Analysis – kinetic models April 26, 2017Hyperpolarization Methods3
  • 4. Spin Polarization 4 Spins µ B = 0 µ µ µ µ M0 = 0 Net Magnetization will be found to be either in the spin-up state, no matter which mixed state cj i re. Furthermore, it will stay in that new proton is subject to more interactions made: when subject to a magnetic field, an oblong pi- ece of magnetizable material have a strong tendency to align itself in one of two opposite directions paral- lel to the field (in contrast to permanently magnetized gure 2 In the absence of magnetic field, the spins are pointing randomly hence giving a herical distribution of spin orientations. This is illustrated to the right by a large number of ample spins in an implicit magnetization coordinate space similar to that of Fig. 1. [Color fig- e can be viewed in the online issue, which is available at www.interscience.wiley.com.] ON Danish Research Centre for Magnetic Resonance. Educational Materials: http://www.drcmr.dk/educations/education-material April 26, 2017Hyperpolarization Methods
  • 5. Spin Polarization in a Magnetic Field 5 Spins µ B0 µ µ µ µ M0 ≠ 0 Net Magnetization energies so the spins only have a slight tendency to point along the direction of the field (and no increased tendency to point opposite the field, neither classically, nor quantum mechanically). The situation can be compared to the one described earlier involv- ing a hypothetical collection of compasses placed in the earth magnetic field. All compasses will swing to It is important to understand that precession of the individual nuclei starts as soon as the sample is placed in the field (not only after excitation by RF fields, as frequently stated). The nuclei therefore emit radio waves at the Larmor frequency as soon as they are placed in the field. Similarly, however, they absorb radio waves emitted by their neighbors and surroundings. Because the distribution of spin direc- tions is even in the transversal plane, the net trans- versal magnetization is zero, and there is no net exchange of energy between the sample and its sur- roundings. The exchange of radio waves within the sample is nothing but magnetic interactions between neighboring nuclei. These are responsible for relaxation. Myth 2: MR Is a Quantum Effect A quantum effect is a phenomenon that cannot be adequately described by classical mechanics, i.e., one where only QM give predictions in accordance with observations. In the introduction, it was stated that atom formation is a quantum effect because atoms are not expected to be stable according to classical mechanics, whereas experiments have proven that they are. This does not imply that all phenomena involving atoms are defined as quantum effects, since such a broad definition would be quite useless. Instead, phenomena are hierarchically divided into classical and quantum phenomena, so a classical phe- nomenon can involve atoms that are themselves inex- plicable by classical mechanics. Similarly, proton spin is a quantum effect but MR is not since the latter is accurately described by classical mechanics. This is the subject of the present section. It is often and correctly said that spin is a quantum effect. From a classical perspective it cannot be Figure 3 Better alternative to Fig. 1 showing the spin distribution in a magnetic field. The spins will precess as indicated by the circular arrow and a longitudinal equilib- rium magnetization (large vertical arrow) will gradually form as the distribution is skewed slightly toward mag- netic north by T1-relaxation (uneven density of arrows). The equilibrium magnetization is stationary, so even though the individual spins are precessing, there is no net emission of radio waves in equilibrium. [Color figure can be viewed in the online issue, which is available at www.interscience.wiley.com.] UNDERSTANDING MAGNETIC RESONANCE 333 Polarization fraction: 0.0001-0.0005% at room temperature, depending on nucleus (γ) and field (B0) tanh −hγB0 2πkT " # $ % & ' April 26, 2017Hyperpolarization Methods
  • 6. Hyperpolarization § Perturb spins from thermal equilibrium to increase fraction aligned parallel (or anti-parallel) to B0 § Polarizations of > 50%!! § Methods: • Optical pumping (for gasses, ie 3He, 129Xe) • Parahydrogen-induced Polarization (PHIP) • Dynamic Nuclear Polarization (DNP) 6 Hyperpolarized MRS Normal MRS B0 Net Magnetization April 26, 2017Hyperpolarization Methods
  • 7. Spin Exchange Optical Pumping § Polarization of noble gases (e.g. 3He, 129Xe) § Mixtures of alkali-metal vapors and noble gases irradiated with circularly polarized resonant light § Major application is pulmonary imaging for lung disease April 26, 2017Hyperpolarization Methods7 Hyperpolarized 129Xe MRI Walker et al. Rev Mod Phys 1997, doi:10.1103/RevModPhys.69.629 Roos et al. Magn Reson Imaging Clin N Am. 2015, doi: 10.1016/j.mric.2015.01.003
  • 8. Para-hydrogen Induced Polarization (PHIP) § Parahydrogen is the Singlet State of Hydrogen gas, H2 § MR invisible, can store magnetization § Transfer the polarization from the singlet-state to other nuclei April 26, 2017Hyperpolarization Methods8 Triplets, T+, T0, T- Singlet, S0 para hydrogen 1H 1Hpara hydrogen 1H Ir hyperpolarized substrate1H reversible exchange reversible exchange 1H 1H J J SABRE Adams, … , Duckett et al. Science 2009 323, 1708 Content Courtesy Thomas Theis
  • 9. Signal Amplification By Reversible Exchange (SABRE) § At the appropriate magnetic field (e.g. 6.5 mT for hyperpolarization of protons), J-coupling interactions across the iridium catalyst drive hyperpolarization from parahydrogen to substrate. § Reversible exchange of both, parahydrogen and substrate, leads to continuous hyperpolarization buildup. § Heteronuclear SABRE greatly generalizes the substrate scope and enables long hyperpolarization lifetimes. April 26, 2017Hyperpolarization Methods9 R1H 1H 15N Ir 15N para hydrogen hyperpolarized substrate reversible exchange reversible exchange 1H 1H 15N R R Theis et al. JACS 2015 137 (4), 1404 Content Courtesy Thomas Theis
  • 10. SABRE Discussion Primarily limited to molecules containg sp or sp2 hybridized nitrogens § Pros • Relatively Simple and Fast • Uses inexpensive equipment • Long-Lived States can be hyperpolarized directly § Cons • Limitations on polarizable substrates • Reduced efficiency in water • Removal of the toxic hyperpolarization catalyst Colell et al. JPCC 2017 121(12), 6626 Substrates: Primarily limited to molecules containg sp or sp2 hybridized nitrogens Content Courtesy Thomas Theis April 26, 2017Hyperpolarization Methods10
  • 11. Dynamic Nuclear Polarization (DNP) § Microwaves at appropriate frequency transfer polarization from electrons to nuclei § High magnetic field increases polarization of both nuclear and electron spins § Very low temperature also used to increase polarization of both nuclear and electron spins 11 Temperature (K) Polarization proton carbon 10-3 0 0.5 1 electron 10-2 10-1 10-0 101 102 At 1.2K, Pe= 94% & PC= 0.086% For B0 = 3.35 TSample: Amorphous solid material doped with unpaired electrons at a ratio ~ 1 free electron:1000 13C April 26, 2017Hyperpolarization Methods
  • 12. 3.35 T and ~1.2o K γelectron B0 = 94 GHz γC-13 B0 = 35 MHz HyperSense Dissolution DNP Polarizer 12 Microwave Irradiation at γelectron B0 ± γC-13 B0 April 26, 2017Hyperpolarization Methods
  • 13. • The buffer is heated and pressurized • The sample space is pressurized • The sample is raised out of the liquid helium • The dissolution stick is lowered, docking with the sample holder • The solvent is injected, dissolving the sample, while preserving the enhanced polarization Slide courtesy of Jan Henrik Ardenkjaer-Larsen, GE Healthcare Dissolution DNP Procedure 13 April 26, 2017Hyperpolarization Methods
  • 14. SpinLab Clinical Polarizer 1 2 3 4 SpinLab Polarizer Ardenkjaer-Larsen et al. NMR Biomed 2011; 24:927 5 T and ~0.8o K γelectron B0 = 140 GHz γC-13 B0 = 52 MHz Automated Quality Control System April 26, 2017Hyperpolarization Methods14
  • 15. Dissolution DNP 13C Agents Requirements • Long T1 relaxation time (polarization half-life) • Water-soluble is best • Mixture with free electron source, aka electron paramagentic agent (EPA), free radical • Low Toxicity • In vivo interest Agents • [1-13C]-pyruvate: metabolism, Warburg effect • 13C-urea: inert, perfusion • bis-1,1-(hydroxymethyl)-[1-13C]cyclopropane-d8 (HMCP, HP001): long T1 perfusion agent • [1,4-13C2]-fumarate: necrosis • 13C-bicarbonate: pH measurement • [2-13C]-fructose: metabolism • [5-13C]-glutamine: metabolism, cell proliferation • 13C-dehydroascorbate (DHA): Reduction/oxidation potential • [1-13C]-α-ketoglutarate: IDH mutation status • [U-2H, U-13C]-glucose: metabolism • and more (Review article : Keshari, Wilson. Chem Soc Rev, 2014.) Wilson, et al. JMR 2010. Simultaneous polarization of multiple agents April 26, 2017Hyperpolarization Methods15
  • 16. M G Vander Heiden et al. Science 2009;324:1029-1033 April 26, 2017Hyperpolarization Methods16
  • 17. Hyperpolarized Carbon-13 Pyruvate 13C-Pyruvate § Most promising HP agent thus far § Long T1 (≈ 40-60 s) § Readily polarizable § Endogenous § Rapid uptake and conversion to lactate, alanine, and bicarbonate § Directly probes the “Warburg Effect” in cancer § (Safety and feasibility established in prostate cancer patients) 17 Warburg Effect M G Vander Heiden et al. Science 2009;324:1029-1033 Glycolysis April 26, 2017Hyperpolarization Methods
  • 18. Bloch Equation 18 d dt  M =  M ×γ  B+ −1/T2 0 0 0 −1/T2 0 0 0 −1/T1 # $ % % % % & ' ( ( ( (  M + 0 0 M0 /T1 # $ % % % & ' ( ( ( Net magnetization behavior, hyperpolarized or at thermal equilibrium, is described by Bloch equation: Precession RF Excitation Relaxation back to thermal equilibrium:  M = 0 0 M0 ! " # # # $ % & & & April 26, 2017Hyperpolarization Methods
  • 19. Relaxation to Equilibrium 19 T1 decay of Mz (~50 s in vivo for [1-13C]pyruvate) Hyperpolarization M0 10000 M0 M0 April 26, 2017Hyperpolarization Methods
  • 20. Relaxation to Equilibrium 20 T2 decay of Mxy (~100ms-2s in vivo for pyruvate) RF excitation xy z April 26, 2017Hyperpolarization Methods
  • 21. 13C MR of Pyruvate Metabolism 21 Dynamic MR Spectrum in vivo frequency Pyruvate 13C Lactate 13C Bicarbonate 13C Pyruvate-hydrate Following injection of 13C-pyruvate Alanine 13C April 26, 2017Hyperpolarization Methods
  • 22. Hyperpolarized 13C Imaging Procedure 1. Hyperpolarization of 13C-pyruvate (45-90 mins) 2. Rapidly dissolution of frozen compound to create a hyperpolarized liquid agent (10 sec) 3. Agent is injected to the subject inside the MRI scanner (10 sec) 4. 13C MRI/MRSI is performed immediately (1-2 mins) 22 1,2 3 4 April 26, 2017Hyperpolarization Methods
  • 23. MR Pulse Sequence Components 1. Excite spins (RF) 2. Readout signal (spectral and/or spatial encoding) 3. Repeat 23 Magnetization Vector MZ MXY Signal RF DA Q T2 T1 1. 1. 2. 2. x NTR 3. T2 T1 April 26, 2017Hyperpolarization Methods
  • 24. Hyperpolarized RF Pulses Two key considerations: 1. Efficient use of hyperpolarization • Variable flip angles • “Multiband” excitation 2. Spectral selectivity • Spectral-spatial RF pulses April 26, 201724 Hyperpolarization Methods
  • 25. Constant Flip Angle § Received signal varies between excitations (can cause blurring) § Residual unused hyperpolarization after last excitation April 26, 201725 S1 S2 S3 S4 S5 S6 θ θ θ θ θ θ MZ MXY Hyperpolarization Methods
  • 26. Variable/Progressive Flip Angle § Flip angle is strictly increasing § Received signal constant when accounting for lost magnetization (Si = C) § Efficient usage of all polarization April 26, 201726 Zhao, et, JMR B 113 (2) (1996) 179–183. Nagashima, JMR 190 (2) (2008) 183–188. θ1 S1 θ2 θ3 S2 S3 θ4 S4 θ5= 45° S5 θ6 = 90° S6 MZ MXY Hyperpolarization Methods
  • 27. Dynamic Imaging: Conventional Excitation April 26, 201727 Lactate 13C1 Pyruvate 13C1 flip angle 2.5° 5° 10° 20° time received signal Excess Pyruvate SNR Hyperpolarization Methods
  • 28. Dynamic Imaging: Multiband Excitation April 26, 201728 flip angle 2.5° 5° 10° 20° time received signal More lactate SNR for more time Pyruvate SNR is still sufficient Smaller pyruvate flip leaves more magnetization that can then become lactate Lactate 13C1 Pyruvate 13C1 Hyperpolarization Methods
  • 29. Multiband Variable Flip Angle Excitation Combination of § Variable flip angle across acquisitions for improved SNR § Multiband pulse designs to account for metabolic conversion between acquisitions April 26, 201729 MANUSCRIPT SUBMITTED TO IEEE TRANSACTIONS ON MEDICAL IMAGING acquisition number 0 5 10 15 20 25 30 flipangle(degrees) 0 20 40 60 80 100 Optimized flip angle sequence pyruvate lactate Fig. 3. Optimized flip angle sequence for estimating the metabolic rate parameter kP L using the nominal parameter values in Table I and a sampling interval TR = 2 s between acquisitions. estimation error that measurements. It is no of data sets in vivo, a truth values. Thus we our optimized flip ang in estimates of the m A. Two-step paramete When fitting the da different voxels will parameters kT RANS, change with spatial l arterial input u(t). T proceeds in two steps: the entire data set, the values of the remainin Xing, Larson, et al, JMR 2014 John Maidens, et al, IEEE-TMI 2016, doi: 10.1109/TMI.2016.2574240 Flat Signal Response Optimal kinetic measurement Hyperpolarization Methods
  • 30. Spectral Selectivity April 26, 201730 frequency Pyruvate 13C Lactate 13C Bicarbonate 13C Alanine 13C1 Use spectrally selective RF pulses to control flip angles for different compounds Hyperpolarization Methods
  • 31. Spectral Excitation Profile § Design RF pulses for desired spectral profile § Fourier Transform relationship between RF pulse shape and Magnetization profile: Valid for small tip angles, < 30° (pretty close up to 60°) § Non-linear relationship for large tip angles: Use Shinnar-Le Roux transform or other tools for RF pulse design April 26, 201731 frequency |MXY| Fourier or Shinnar-Le Roux Transform f [1-13C]pyruvate[1-13C]lactate Hyperpolarization Methods
  • 32. Spectral-Spatial RF Pulses April 26, 201732 § Add oscillating gradient for additional spatial selectivity § Additional constraints on spectral and spatial selectivity § Useful in vivo where spatial selectivity is important Hyperpolarization Methods
  • 33. Spectral-Spatial RF Pulse Design Features: • Simultaneous selectivity in frequency and position • Customizable for different nuclei and MR hardware • Multi-band specification • Aliased bands are allowed • Power minimization • Time minimization • Correction for non-uniform sampling • VERSE for ramp sampling and peak B1 reduction MATLAB code available at: https://github.com/agentmess/Spectral-Spatial-RF-Pulse-Design April 26, 201733 Kerr et al, ISMRM 2008 #226. Larson et al, JMR 2008. Hong Shang, et al. JMR 2015. Find Minimum-time Gradient Sublobe Identify Consistent Spectral Sampling Frequencies Fs Find Minimum-Time Spectral Filter Correct for Nonuniform Sampling 2D SLR Transform Optimal VERSE Choose Best Design Multiband Specification For each Fs Next Fs Hyperpolarization Methods
  • 34. Hyperpolarized Acquisitions: Need for Speed § Rapid signal decay § Rapid metabolic conversion § Single image SNR decreases with more excitations due to T1 decay § Fast data acquisition is important for HP agents April 26, 201734 Simulated Single-Image SNR with T1 decay and progressive flip angle Hyperpolarization Methods
  • 35. Readout Strategies Can be approximately grouped into three categories (from slowest to fastest) 1. MR spectroscopic imaging (MRSI) 2. Model-based Spectral decomposition with multiple TEs (Dixon/IDEAL) 3. MRI with spectrally-selective excitation (“Metabolite-specific Imaging”) April 26, 201735 Hyperpolarization Methods
  • 36. Fast MR Spectroscopic Imaging § Methods • Echo-planar spectroscopic imaging (EPSI) • Spiral spectroscopic imaging • Concentric Rings • Radial EPSI • Rosettes • And More April 26, 201736 Ky(cm-1 ) Ky(cm-1 )Ky(cm-1 ) time (ms) time (ms) time (ms) Kx (cm-1 ) Kx (cm-1 )Kx (cm-1 ) 0 20 40 60 80 100 120−1 -0.5 0 0.5 -1 -0.5 0 0.5 1 0 20 40 60 80 100 120 -1 -0.5 0 0.5 -1 -0.5 0 0.5 1 0 20 40 60 80 100 120 -1 -0.5 0 0.5 -1 -0.5 0 1 0.5 -1 0 1 0 20 40 60 80 100 120 0 20 40 60 80 100 120 -1 0 1 Symmetric EPSI Flyback EPSI Readout time (ms) Kx(cm-1 )Kx(cm-1 ) time (ms) EPSI Spiral Concentric Rings Simultaneous acquisition of spectral and spatial k-space data in (kx, ky, kz, t) or (kx, ky, kz, kf) space Hyperpolarization Methods
  • 37. MRSI Readouts April 26, 201737 GZ DAQ GZ kz kf kz kf DAQ Phase Encoding Echo-planar spectroscopic imaging (EPSI) Hyperpolarization Methods
  • 38. Accelerated MRSI Strategies April 26, 201738 Ky(cm-1 ) Ky(cm-1 )Ky(cm-1 ) time (ms) time (ms) time (ms) Kx (cm-1 ) Kx (cm-1 )Kx (cm-1 ) 0 20 40 60 80 100 120−1 -0.5 0 0.5 -1 -0.5 0 0.5 1 0 20 40 60 80 100 120 -1 -0.5 0 0.5 -1 -0.5 0 0.5 1 0 20 40 60 80 100 120 -1 -0.5 0 0.5 -1 -0.5 0 1 0.5 -1 0 1 0 20 40 60 80 100 120 0 20 40 60 80 100 120 -1 0 1 Symmetric EPSI Flyback EPSI Readout time (ms) Kx(cm-1 )Kx(cm-1 ) time (ms) EPSI Spiral Concentric Rings Furuyama J, et al. MRM 2012; 67:1515–1522 Jiang, et al, MRM 2016, doi: 10.1002/mrm.25577 Adalsteinsson E, et al. MRM 1998;39:889 – 898. Mayer MRM 2006; 56:932–937. Yen et al. MRM 2009; 62:1-10. Ky(cm-1 ) Ky(cm-1 )Ky(cm-1 ) time (ms) time (ms) time (ms) Kx (cm-1 ) Kx (cm-1 )Kx (cm-1 ) 0 20 40 60 80 100 120−1 -0.5 0 0.5 -1 -0.5 0 0.5 1 0 20 40 60 80 100 120 -1 -0.5 0 0.5 -1 -0.5 0 0.5 1 0 20 40 60 80 100 120 -1 -0.5 0 0.5 -1 -0.5 0 1 0.5 -1 0 1 0 20 40 60 80 100 120 0 20 40 60 80 100 120 -1 0 1 Symmetric EPSI Flyback EPSI Readout time (ms) Kx(cm-1 )Kx(cm-1 ) time (ms) Spiral Concentric Rings Hyperpolarization Methods
  • 39. Comparison of Accelerated MRSI Strategies Tradeoffs § Speed § SNR efficiency § Robustness to hardware imperfections § Bandwidth § Resolution April 26, 201739 0.4 0.5 0.6 0.7 0.8 0.9 1 0 500 1000 1500 2000 2500 3000 Spectral Bandwidth Resolution (cm) SBW(Hz) Concentric Rings Symmetric EPSI Flyback EPSI Spiral 0.4 0.5 0.6 0.7 0.8 0.9 1 0 1 2 3 4 5 6 7 8 9 Acquisition Time Resolution (cm) AcquisitonTime(s) Concentric Rings Symmetric EPSI Flyback EPSI Spiral 0.4 0.5 0.6 0.7 0.8 0.9 1 0 500 1000 1500 2000 2500 3000 Spectral Bandwidth with Interleaves Resolution (cm) SBW(Hz) Concentric Rings Symmetric EPSI Flyback EPSI Spiral 0.4 0.5 0.6 0.7 0.8 0.9 1 0.65 0.7 0.75 0.8 0.85 0.9 0.95 1 SNR Efficiency Resolution (cm) SNREfficiency Concentric Rings Symmetric EPSI Flyback EPSI Spiral Flyback EPSI Symmetric EPSI Concentric Rings Spiral Speed - - + ++ SNR - ++ + ++ Robustness ++ - ++ -- Jiang, et al, MRM 2016, doi: 10.1002/mrm.25577Hyperpolarization Methods
  • 40. Spectral Decomposition § Dixon/IDEAL (Iterative decomposition of water and fat with echo asymmetry and least-squares estimation) methods: Originally developed for fat/water imaging § Reconstruct individual metabolite images based on known chemical shifts § Multiple TEs: minimum # of TEs = Npeaks(+1 if B0 field map estimated required) April 26, 201740 TE2 x y TE1 x y Fat Water x y Fat x y Water TE1 x y TE2 x y TE3 x y TE4 x y Hyperpolarization Methods
  • 41. Spectral Images Δf = 0 Hz Δf = 614 Hz Δf = 433 Hz Δf = 272 Hz Spectral Decomposition: Spiral CSI April 26, 201741 Brodsky et al. MRM 59(5): 2008 Wiesinger et al., MRM 68(1): 2012 RF Spiral Readouts TE1 TE2 TE3 TE4 Matrix Inversion FFT Spectral K-space Hyperpolarization Methods
  • 42. Spectral Decomposition: Oversampled Spirals April 26, 201742 ΔTE ΔTE Critically Sampled Spiral (η = 1) 2 echoes Twice Oversampled Spiral (η = 2) 1 echo Gordon et al., MRM 2013 Hyperpolarization Methods
  • 43. Single-shot Spiral MRI Metabolite-specific Imaging § Idea: Excite only a single metabolite resonance, followed by any imaging-based readout § Methods: • Single-metabolite Spectral-spatial excitation • Fast imaging readout (EPI, spiral) § Fast! § Requires chemical-shift separation of metabolites, sensitive to B0 inhomogeneities April 26, 201743 Spectral-spatial Excitation Cunningham JMR 2008. Lau MRM 2010 NMR Biomed 2011 Hyperpolarization Methods
  • 44. Metabolite-specific Imaging § Spectral-spatial excitation of individual metabolites with variable flip angles § Ramp sampled, symmetric EPI § 16 slices of pyruvate and lactate images in 2 s April 26, 2017 Cunningham et al. JMR 2008. Gordon et al. MRM 2016. doi: 10.1002/mrm.26123. Gordon et al. Proc ISMRM 2017 #728. Hyperpolarization Methods44
  • 45. Clinical Metabolite-specific Imaging April 26, 2017 Cunningham et al. Circ Res 2016, doi: 10.1161/CIRCRESAHA.116.309769. a b c 10 30 20 20 60 40 5 25 15 80 40 10 50 30 20 60 40 d e f 5 cm 5 cm 5 cm 5 cm 5 cm 5 cm Pyruvate Bicarbonate Lactate Pyruvate Bicarbonate Lactate FIGURE 1 byguestonSeptember20,2016http://circres.ahajournals.org/Downloadedfrom Cardiac imaging with Spiral Readout Pyruvate Lactate Brain imaging with EPI Readout Gordon et al. Proc ISMRM 2017 #728. Hyperpolarization Methods45
  • 46. Technique Comparison Technique Pros Cons MRSI Robust to off-resonance Flexible spectral content Slow Spectral Decomposition (IDEAL/Dixon) Speed+SNR Peak locations must be known Limits on sequence parameters (TE) Metabolite-specific Imaging Speed+SNR (max!) Works well with [1-13C]pyruvate spectrum Sensitive to off-resonance Requires spectrally separated metabolites April 26, 201746 Hyperpolarization Methods
  • 47. Parametrizations: Kinetic Modeling vs. alternatives Numerous options § Kinetic modeling (e.g. kPL) § Lactate/pyruvate § Area-under-curve (AUCratio, Hill, et al. PLoS One (2013).) I advocate for unidirectional kPL model • Insensitive to bolus delivery with any sampling strategy • Incorporate effects of RF pulses • Compare kPL (1/s) across sites, imaging protocols, and anatomy • Simple (good for low SNR) Daniels et al, NMR Biomed 2016, doi: 10.1002/nbm.3468 Hyperpolarization Methods47 April 26, 2017
  • 48. Choice of Model § Models evaluated by Akaike Information Criteria (AIC) which balances fit quality with number of model parameters a. Pyr-lac (all lumped) b. Extravascular and intravascular compartments c. Extravascular/extracellular, intracellular, and intravascular compartments § Assumptions • Neglect kLP, lactate transport. Gamma-variate pyruvate input • Pyruvate input estimated from heart voxels • T1P = 45s, T1L = 25s Bankson et al. Cancer Research 2016. doi: 10.1158/0008-5472.CAN-15-0171 April 26, 2017Hyperpolarization Methods48
  • 49. “Input-less” Fitting § Actual pyruvate signal as input, change in lactate as output § No assumptions or fitting of pyruvate input § Pros: Simple, insensitive to fitting errors in pyruvate (e.g. incorrect bolus shape), works with any sampling strategy § Cons: No estimate of perfusion April 26, 2017 Inpsired by: Khegai, et al. NMR Biomed 2014, Bahrami, et al. Quant Imaging Med Surg 2014. Hyperpolarization Methods49 kPL https://github.com/agentmess/hyperpolarized-mri-toolbox
  • 50. Hyperpolarized-MRI-Toolbox https://github.com/agentmess/hyperpolarized-mri- toolbox § MATLAB tools for designing and analyzing HP MRI § Open-source, contribute your coolest code! § Current Features • EPSI waveforms • Spectral-spatial RF • Variable flip angles • Kinetic Modeling • Numerical phantom § Coming soon: Datasets for standardized comparisons of analysis methods April 26, 2017Hyperpolarization Methods50