Development of new acquisition strategies and ... - Tangi Roussel

Jul 11, 2012 - Page 1 ... In order to calculate the estimation errors, CRB values should be normalised knowing the noise level of the ...... to minimize CRB. • Calculates a rank for each t1 increments according to the CRB reduction induced.
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Introduction

1/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Cram´ e-Rao Lower Bounds

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Definition A Cram´ er-Rao Lower Bound (CRB) is the lower bound on the variance of estimators of a deterministic parameter. In other words, CRB represents the lowest estimation error of a parameter in the case of an unbiased estimator. Bounds Calculation In theory, CRB are calculated from the ”true” parameters values of the signal cm , T2m , △αm , △ωm and φ0 . NEMESIS determine CRB from the estimated values of parameters by : • Building the Fisher Information Matrix (FIM) knowing the second derivative

matrix of the model function xˆ(nt2 , nt1 ) • Inverting the (FIM) • Extracting the diagonal values

Error bars In order to calculate the estimation errors, CRB values should be normalised knowing the noise level of the signal. y GPC GSH Lac mIns N

Introduction

3/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Introduction

4/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Development of new acquisition strategies and quantification methods for in vivo 2D Magnetic Resonance Spectroscopy PhD candidate : Tangi ROUSSEL

11th of July 2012 PhD Committee : Examiners :

Supervisors :

Olivier LAFON Lotfi SENHADJI Serge AKOKA Thomas LANGE

Professeur des Universit´es, Universit´e de Lille I Professeur des Universit´es, Universit´e de Rennes I Professeur des Universit´es, Universit´e de Nantes PhD, University Medical Center Freiburg, Allemagne

Sophie CAVASSILA H´ el` ene RATINEY

Professeur des Universit´es, Universit´e de Lyon I Charg´ee de recherches, Universit´e de Lyon I

Introduction

5/41

State of the art

Goals

Quantitative conventional 2D MRS

1

Introduction Magnetic Resonance Spectroscopy Understanding a MRS signal 1D MRS : Limitations In vivo 2D MRS

2

State of the art

3

Goals

4

Quantitative conventional 2D MRS Aims 2D J-PRESS WISH sequence NEMESIS quantification procedure Irregular sampling Conclusions

5

Ultrafast 2D MRS Aims Introduction ufJPRESS sequence Optimising the sequence Data reconstruction & Post-processing procedures

6

Conclusions & Perspectives

Ultrafast 2D MRS

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Magnetic Resonance Spectroscopy

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Magnetic Resonance Imaging Magnetic Resonance Imaging (MRI) is a medical imaging technique used in radiology to visualize internal structures of the body. MRI makes use of the property of NMR to image hydrogen nuclei (protons) inside the body tissue.

Fig. 1: 1.5 T Fast Spin Echo T2 -weighted image from the brain of a patient suffering with glioma

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Magnetic Resonance Spectroscopy

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Magnetic Resonance Imaging Magnetic Resonance Imaging (MRI) is a medical imaging technique used in radiology to visualize internal structures of the body. MRI makes use of the property of NMR to image hydrogen nuclei (protons) inside the body tissue. Magnetic Resonance Spectroscopy Magnetic Resonance Spectroscopy (MRS) allows non-invasive and in vivo exploration of the molecular composition of tissue. It identifies certain molecular constituents - metabolites - involved in physiological or pathological processes. 12

MRS signal

10

8

6

4

2

Quantification Ala Asp Cho CreGABAGlc Gln Glu Gly GPCGSH Lac mIns NAANAAGPCr PCho PE Tau

Metabolites

Fig. 2: Principle of quantitative MRS of human brain using a PRESS sequence

0

Concentration (mmol/kg)

Fig. 1: 1.5 T Fast Spin Echo T2 -weighted image from the brain of a patient suffering with glioma

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Understanding a MRS signal

Interpreting an in vivo NMR spectrum • 12 detectable metabolites at 4.7 T for short

echo time • Linear combination of metabolic spectral

signatures • Baseline (macromolecular contamination) • Noise

NAA

Cre

Cre PCr Glu Cho Gln mIns Tau mIns

In vivo signal metabolites + background + noise Glu Gln

5

4.5

Lip Lac

NAA Asp

In vivo measured background

4

3.5

3

2.5

2

1.5

Lip

1

Chemical shift (ppm)

Fig. 3: In vivo MR spectrum acquired from a rat brain at 7 T (PRESS sequence, TE =20 ms, 10 min scan time) 7/41

Ultrafast 2D MRS

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Understanding a MRS signal

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Interpreting an in vivo NMR spectrum

Metabolic signature

• 12 detectable metabolites at 4.7 T for short

echo time

Each metabolite has a spectral signature characterised by :

• Linear combination of metabolic spectral

• Chemical shifts (ppm)

signatures

• J-coupling constants (Hz)

• Baseline (macromolecular contamination)

• Concentration (mmol/kg)

• Noise

Cre PCr Glu Cho Gln mIns Tau mIns

In vivo signal metabolites + background + noise Glu Gln

4.5

Lip Lac

NAA Asp

In vivo measured background

5

Ala Asp

NAA

Cre

4

3.5

3

2.5

2

1.5

Lip

1

Chemical shift (ppm)

Cho Cre GABA Gln Glu Lac mIns NAA Tau 5

4.5

4

3.5

3

2.5

2

1.5

1

0.5

0

Chemical shift (ppm)

Fig. 3: In vivo MR spectrum acquired from a rat brain at 7 T (PRESS sequence, TE =20 ms, 10 min scan time)

Fig. 4: Metabolic spectral signatures

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

1D MRS : Limitations

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NAA

Cre

Cre PCr Glu Cho Gln mIns Tau mIns

In vivo signal metabolites + background + noise

GABA

Glu Gln Lip Lac

NAA Asp

In vivo measured background

Lip

Gln Glu 5

4.5

4

3.5

3

2.5

2

1.5

Chemical shift (ppm) 5

4.5

4

3.5

3

2.5

2

1.5

1

Chemical shift (ppm)

Fig. 6: Spectral overlapping between the metabolites

Fig. 5: In vivo NMR spectrum acquired from a rat brain at 7 T

Limitations 1D MRS used with low B0 fields suffers with : • Spectral overlapping between metabolites (Glu/Gln) • Spectral overlapping between metabolites and macromolecules (baseline) • Low concentrated metabolites (GABA)

1

0.5

0

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

In vivo 2D MRS

Conventional localised 2D J-resolved Magnetic Resonance Spectroscopy

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dime

n

J-resolved MRS = TE

dim

nsio

ens ion

FFT along 20

FFT

Spin-echo based acquisition

8 FID acquired Scan Time = 8 x TR

Chemical shift 5

4

3

2

1

15 10 5 0

(Hz)

FID

J-coupling constants

Voxel selection

−5 −10 −15 −20 0

(ppm)

Fig. 7: Understanding conventional 2D J-resolved MRS

A conventional localised 2D J-resolved MRS experiment consists in : • performing numerous acquisitions of FIDs for various Echo Times • Fourier transforming each FID to obtain F2 dimension • Fourier transforming the data set following the t1 dimension

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

In vivo 2D MRS

Conventional localised 2D J-resolved Magnetic Resonance Spectroscopy

dime

n

J-resolved MRS = TE

dim

nsio

ens ion

FFT along 20

FFT

Spin-echo based acquisition

8 FID acquired Scan Time = 8 x TR

Chemical shift 5

4

3

2

1

15 10 5 0

(Hz)

FID

J-coupling constants

Voxel selection

−5 −10 −15 −20 0

(ppm)

Fig. 8: Understanding conventional 2D J-resolved MRS

Pros/Cons • ⊕ Information following F1 dimension : J-coupling constant • ⊖ Acquisition duration depends on the number of increments in Echo Time (nt1 )

resulting in expensive scan time (up to 1h30) 10/41

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

In vivo 2D MRS since 1995 • More and more studies on human brain1 • Few studies on small animal consisting mainly in metabolite identification2

1

Thomas M A et al, JMRI, 6 :453-459, 1996 Meric P et al, MAGMA, 17 :317-338, 2004 Schulte R F et al, NMR Biomed, 19 :255-263, 2006 4 Provencher S W et al, MRM, 30 :672-679,1993 5 Golub G H et al, SIAM JNA, 10 :413-432, 1973 6 Hiba B et al, MRM, 52 :658-662, 2004 7 Frydman L et al, PNAS USA, 99 :15858-15862, 2002 2 3

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Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

In vivo 2D MRS since 1995 • More and more studies on human brain1 • Few studies on small animal consisting mainly in metabolite identification2

Few studies on quantitative 2D MRS • One quantification algorithm dedicated to human brain 2D MRS

at 3 T : ProFit3 based on 1D quantification methods LCModel4 & VARPRO5 • No quantification algorithm for small animal brain 2D MRS

Fig. 9: ProFit algorithm 1

Thomas M A et al, JMRI, 6 :453-459, 1996 Meric P et al, MAGMA, 17 :317-338, 2004 Schulte R F et al, NMR Biomed, 19 :255-263, 2006 4 Provencher S W et al, MRM, 30 :672-679,1993 5 Golub G H et al, SIAM JNA, 10 :413-432, 1973 6 Hiba B et al, MRM, 52 :658-662, 2004 7 Frydman L et al, PNAS USA, 99 :15858-15862, 2002 2 3

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Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

In vivo 2D MRS since 1995 • More and more studies on human brain1 • Few studies on small animal consisting mainly in metabolite identification2

Few studies on quantitative 2D MRS • One quantification algorithm dedicated to human brain 2D MRS

at 3 T : ProFit3 based on 1D quantification methods LCModel4 & VARPRO5 • No quantification algorithm for small animal brain 2D MRS

Very few studies on acquisition time reduction of in vivo 2D MRS experiment • Few studies on reducing scan time of 2D J-resolved MR

spectroscopic imaging6 • In 2002, L. Frydman introduces ”ultrafast spectroscopy”7 for Fig. 9: ProFit algorithm 1

Thomas M A et al, JMRI, 6 :453-459, 1996 Meric P et al, MAGMA, 17 :317-338, 2004 Schulte R F et al, NMR Biomed, 19 :255-263, 2006 4 Provencher S W et al, MRM, 30 :672-679,1993 5 Golub G H et al, SIAM JNA, 10 :413-432, 1973 6 Hiba B et al, MRM, 52 :658-662, 2004 7 Frydman L et al, PNAS USA, 99 :15858-15862, 2002 2 3

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high resolution spectroscopy, a new technique allowing the acquisition of 2D MRS spectra in very short time.

Introduction

12/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

This PhD thesis work on 2D MRS can be presented under two main headings : Quantitative 2D MRS for small animal brain • Design a 2D MRS sequence on a 4.7 and a 7 T Bruker Biospec

imaging systems • Perform in vivo 2D MRS localised acquisitions on rat brain • Develop a dedicated quantification algorithm to estimate metabolite Gly GPC GSH Lac mIns

concentrations from the acquired data

Introduction

12/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

This PhD thesis work on 2D MRS can be presented under two main headings : Quantitative 2D MRS for small animal brain • Design a 2D MRS sequence on a 4.7 and a 7 T Bruker Biospec

imaging systems • Perform in vivo 2D MRS localised acquisitions on rat brain • Develop a dedicated quantification algorithm to estimate metabolite Gly GPC GSH Lac mIns

concentrations from the acquired data

Acquisition time reduction of 2D MRS experiment • Design an ultrafast localised 2D MRS sequence on a 4.7 and a 7 T

Bruker Biospec imaging systems spoilers

• Optimise and validating the sequence on in vitro phantoms

Introduction

13/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Quantitative conventional 2D MRS

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Aims

14/41

Design a 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence • Irregular data sampling following t1 dimension • Inversion-recovery excitation to acquire 2D baseline

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

14/41

Design a 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence • Irregular data sampling following t1 dimension • Inversion-recovery excitation to acquire 2D baseline

Develop a dedicated quantification algorithm • Complex time domain quantification & strong prior-knowledge • Irregular data sampling handling y GPC GSH Lac mIns N

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

Design a 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence • Irregular data sampling following t1 dimension • Inversion-recovery excitation to acquire 2D baseline

Develop a dedicated quantification algorithm • Complex time domain quantification & strong prior-knowledge • Irregular data sampling handling y GPC GSH Lac mIns N

Develop an algorithm to optimise t1 sampling • Based on Cram´ er-Rao theory • Calculation of optimised sampling following t1 dimension in order to

increase quantification accuracy

14/41

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

14/41

Design a 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence • Irregular data sampling following t1 dimension • Inversion-recovery excitation to acquire 2D baseline

Develop a dedicated quantification algorithm • Complex time domain quantification & strong prior-knowledge • Irregular data sampling handling y GPC GSH Lac mIns N

Develop an algorithm to optimise t1 sampling • Based on Cram´ er-Rao theory • Calculation of optimised sampling following t1 dimension in order to

increase quantification accuracy Validate the methods on small animal • In vivo acquisition performed on a 4.7 and a 7 T Bruker Biospec

imaging systems • Localised MRS experiments on mouse and rat brain

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

2D J-PRESS WISH sequence

Designing the sequence 20

15

2D J-resolved MRS

10

0

(Hz)

5

−5

• ⊕ Short acquisition time (in comparison with

COSY MRS) due to the small bandwidth required following F1 dimension

−10

−15

4

3.5

3

2.5

2

1.5

−20 1

• ⊕ Easy to implement on an MRI since the

pulse sequence is close to PRESS scheme

(ppm)

Fig. 10: Simulated 2D J-resolved MR spectrum of ethanol

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8 2D J-Resolved Point Resolved SpectroScopy with Weighted Irregular Sampling Handling

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

2D J-PRESS WISH sequence

Designing the sequence 20

15

2D J-resolved MRS

10

0

(Hz)

5

−5

• ⊕ Short acquisition time (in comparison with

COSY MRS) due to the small bandwidth required following F1 dimension

−10

−15

4

3.5

3

2.5

2

1.5

−20 1

• ⊕ Easy to implement on an MRI since the

pulse sequence is close to PRESS scheme

(ppm)

Fig. 10: Simulated 2D J-resolved MR spectrum of ethanol

2D J-PRESS WISH8 sequence : Preparation period • Water suppression scheme (VAPOR module)

to reduce water signal • Saturation bands (OVS module) to reduce

outer volume signal artefacts

relaxation delay

RF Water Suppression + Outer Volume Suppression + Inversion Modules

• Inversion pulse (InvPulse module) to perform

inversion-recovery excitation 8

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2D J-Resolved Point Resolved SpectroScopy with Weighted Irregular Sampling Handling

Fig. 11: 2D J-PRESS WISH preparation

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

2D J-PRESS WISH sequence

Designing the sequence

16/41

relaxation delay

RF

spoilers

Fig. 12: 2D J-PRESS WISH9 sequence

Excitation & Detection • Strongly based on PRESS excitation scheme • TE calculation mode can be chosen in order to profit from TE1 /TE2

9

2D J-Resolved Point Resolved SpectroScopy with Weighted Irregular Sampling Handling

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

2D J-PRESS WISH sequence

Designing the sequence

16/41

relaxation delay

RF

spoilers

Fig. 12: 2D J-PRESS WISH9 sequence

Excitation & Detection • Strongly based on PRESS excitation scheme • TE calculation mode can be chosen in order to profit from TE1 /TE2

Original functionalities • Regular or irregular sampling following t1 dimension • NA weighting of the increments acquired following t1 dimension 9

2D J-Resolved Point Resolved SpectroScopy with Weighted Irregular Sampling Handling

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

2D J-PRESS WISH sequence

In vivo experiment with 2D J-PRESS WISH sequence

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2D J-PRESS WISH experiment • Performed on a horizontal 7T Bruker Biospec MRI • A 5-month-old rat was anaesthetised by inhalation of

isoflurane • Volume coil for emission and surface receive coil • The signal was collected from a 64 µL voxel • 1st and 2nd order local shim adjustment • TE =20 to 140 ms, N1 =24, TR=2.5 s, NA=96 (1h

36min acquisition time)

Fig. 13: Axial slice image of a rat brain (RARE, TE/TR=15/5166ms)

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

2D J-PRESS WISH sequence

In vivo experiment with 2D J-PRESS WISH sequence

17/41

2D J-PRESS WISH experiment • Performed on a horizontal 7T Bruker Biospec MRI • A 5-month-old rat was anaesthetised by inhalation of

isoflurane • Volume coil for emission and surface receive coil • The signal was collected from a 64 µL voxel • 1st and 2nd order local shim adjustment • TE =20 to 140 ms, N1 =24, TR=2.5 s, NA=96 (1h

36min acquisition time)

Fig. 13: Axial slice image of a rat brain (RARE, TE/TR=15/5166ms) 5

x 10

+20

Glu

+15

(Hz)

+10 +5 0

Macromolecules Cre

Cho

NAA

GABA

1.5 1

Cre

0.5

−5

0

−10 −15 −20

2

mIns 4.5

4

−0.5

Tau 3.5

Glu 3

2.5

−1 2

1.5

1

0.5

(ppm)

Fig. 14: In vivo MRS 2D J-resolved spectrum acquired in a rat brain with the 2D J-PRESS WISH sequence

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Model function

NEMESIS10 properties • 2D complex time-domain model function

consisting in a linear combination of metabolite signals

Asp

Ala

GABA

Cho

Cre

Glc Gln

Glu

Gsh

Lac

NAA

PCho

• Strong prior-knowledge consisting of a set of

2D metabolite signals simulated with GAMMA11 • Macromolecular contamination is handled by

Gly

GPC

mIns NAAG

gaussian modelisation of in vivo acquisitions • Levenberg-Marquardt optimisation algorithm

PCr

PEtha

Tau

Fig. 15: Set of 19 2D metabolite signals

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10 Numeric Estimation Method for 2D Spectroscopy Irregulary Sampled data 11 Smith S A et al, JMR, A106 :75-105, 1994

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Model function

NEMESIS10 properties • 2D complex time-domain model function

consisting in a linear combination of metabolite signals

Asp

Ala

GABA

Cho

Cre

Glc Gln

Glu

Gsh

Lac

NAA

PCho

• Strong prior-knowledge consisting of a set of Gly

2D metabolite signals simulated with GAMMA11 • Macromolecular contamination is handled by

GPC

mIns NAAG

gaussian modelisation of in vivo acquisitions • Levenberg-Marquardt optimisation algorithm

PCr

PEtha

Tau

Fig. 15: Set of 19 2D metabolite signals M X

» – t1 xˆ(t2 , t1 ) = exp(i · φ0 ) cm · xˆ(t2 , t1 ) · exp (− ) + (△αm + i · △ωm ) · t2 T2m m=1 m

• cm : Amplitude/concentration of the metabolite signal x ˆ(t2 , t1 )m • T2m : Transverse relaxation time [s] • △αm = 1∗ : Extra damping factor [Hz] T2m • △ωm : Frequency shift [Hz] • φ0 : Global zero-order phase [rad] 10

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Numeric Estimation Method for 2D Spectroscopy Irregulary Sampled data 11 Smith S A et al, JMR, A106 :75-105, 1994

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

19/41

C =

nt2 =N2 nt1 =N1 X X nt2 =0 nt1 =0

12

[x(nt2 , nt1 ) − xˆ(nt2 , nt1 )]2

• x(nt2 , nt1 ) : data signal • x ˆ(nt2 , nt1 ) : model signal

Asp, Ala, Cho, Cre, GABA, Glc, Gln, Glu, Gly, GPC, Gsh, Lac, m-Ins, NAA, NAAG, PCr, PCho, PE, Tau

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

19/41

C =

nt2 =N2 nt1 =N1 X X nt2 =0 nt1 =0

[x(nt2 , nt1 ) − xˆ(nt2 , nt1 )]2

• x(nt2 , nt1 ) : data signal • x ˆ(nt2 , nt1 ) : model signal

Optimisation • 19 metabolites12 + macromolecular contamination = up to 40 parameters ! • Possible optimisation problems such as local minima

12

Asp, Ala, Cho, Cre, GABA, Glc, Gln, Glu, Gly, GPC, Gsh, Lac, m-Ins, NAA, NAAG, PCr, PCho, PE, Tau

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

19/41

C =

nt2 =N2 nt1 =N1 X X

[x(nt2 , nt1 ) − xˆ(nt2 , nt1 )]2

nt2 =0 nt1 =0

• x(nt2 , nt1 ) : data signal • x ˆ(nt2 , nt1 ) : model signal

Optimisation • 19 metabolites12 + macromolecular contamination = up to 40 parameters ! • Possible optimisation problems such as local minima

Quantification strategy • 4-stage quantification (total calculation time = 3 min) • Gradual increase of the number of estimated parameters to reduce optimisation

problems

12

Asp, Ala, Cho, Cre, GABA, Glc, Gln, Glu, Gly, GPC, Gsh, Lac, m-Ins, NAA, NAAG, PCr, PCho, PE, Tau

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

19/41

C =

nt2 =N2 nt1 =N1 X X

[x(nt2 , nt1 ) − xˆ(nt2 , nt1 )]2

nt2 =0 nt1 =0

• x(nt2 , nt1 ) : data signal • x ˆ(nt2 , nt1 ) : model signal

Optimisation • 19 metabolites12 + macromolecular contamination = up to 40 parameters ! • Possible optimisation problems such as local minima

Quantification strategy • 4-stage quantification (total calculation time = 3 min) • Gradual increase of the number of estimated parameters to reduce optimisation

problems Multistart Optimisation • For each quantification stage, multiple gaussian random starting values are

initialised around the values evaluated at the last stage in order to reduce optimisation problems related to initial parameters value • The estimated parameters are kept for a minimal fit residue 12

Asp, Ala, Cho, Cre, GABA, Glc, Gln, Glu, Gly, GPC, Gsh, Lac, m-Ins, NAA, NAAG, PCr, PCho, PE, Tau

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

20/41

1. Base line estimation

4

x 10

Amplitude

15

• Quantification of inversion-recovery 2D MRS data

10

5

• Linear combination of 20 gaussian components

0 40 35

1 30

(m

s)

2 3

25

4 20

5

)

(ppm

• Integration in NEMESIS prior-knowledge

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

20/41

1. Base line estimation

4

x 10

Amplitude

15

• Quantification of inversion-recovery 2D MRS data

10

5

• Linear combination of 20 gaussian components

0 40 35

1 30

(m

s)

2 3

25

4 20

5

)

(ppm

• Integration in NEMESIS prior-knowledge 7

3

2. Global frequency shift estimation • The parameter △ωm is initialised for all metabolites

Amplitude

• Maximum peak detection of singlets : Cho, Cre, NAA

x 10

2.5 2 1.5

Data signal

1

20 ms 28 ms 36 ms 44 ms

0.5 0 5

4.5

4

3.5

3

2.5

2

(ppm)

1.5

1

0.5

0

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

1. Base line estimation

4

x 10

Amplitude

15

• Quantification of inversion-recovery 2D MRS data

10

5

• Linear combination of 20 gaussian components

0 40 35

1 30

2

(m

3

25

s)

)

(ppm

4 20

5

• Integration in NEMESIS prior-knowledge 7

3

2. Global frequency shift estimation • The parameter △ωm is initialised for all metabolites

Amplitude

• Maximum peak detection of singlets : Cho, Cre, NAA

x 10

2.5 2 1.5

Data signal

1

20 ms 28 ms 36 ms 44 ms

0.5 0 5

4.5

4

3.5

3

2.5

2

1.5

1

(ppm)

3. Singlets estimation

7

x 10 2 1.5

• cm parameter is estimated for Cho, Cre et NAA

1 0.5

• Global estimation of the parameters T2m , △αm , △ωm

0 140 120

0

100

1

80

(ms)

20/41

2

60

3

40 20

4 5

(ppm)

and φ0

0.5

0

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Quantification strategy

20/41

1. Base line estimation

4

x 10

Amplitude

15

• Quantification of inversion-recovery 2D MRS data

10

5

• Linear combination of 20 gaussian components

0 40 35

1 30

2

(m

3

25

s)

)

(ppm

4 20

5

• Integration in NEMESIS prior-knowledge 7

3

2. Global frequency shift estimation • The parameter △ωm is initialised for all metabolites

Amplitude

• Maximum peak detection of singlets : Cho, Cre, NAA

x 10

2.5 2

Data signal

1.5 1

20 ms 28 ms 36 ms 44 ms

0.5 0 5

4.5

4

3.5

3

2.5

2

1.5

1

0.5

0

(ppm)

3. Singlets estimation

7

x 10 2 1.5

• cm parameter is estimated for Cho, Cre et NAA

1 0.5

• Global estimation of the parameters T2m , △αm , △ωm

0 140 120

0

100

1

80

(ms)

2

60

3

40 20

4 5

(ppm)

and φ0

4. Global estimation • Parameters cm , T2m , △αm and △ωm are estimated for

each metabolite • Global estimation of the phase parameter φ0

7

x 10 2 1.5 1 0.5 0 140 120

0

100

(ms)

1

80

2

60

3

40 20

4 5

(ppm)

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Monte Carlo validation

21/41

Quantification strategy vs. Single quantification : study on simulated data • A 2D simulated 7T MRS signal was generated with typical in vivo parameter

values and macromolecular contamination • 100 repetitions of the quantification procedure were performed for the above

simulated data added to Gaussian noise • Quantification was performed with and without the quantification strategy • Biases and standard deviations were computed for the amplitude estimates 20

(Hz)

10

0

−10

−20 5

4

3

2

1

0

(ppm) Fig. 16: Frequency representation of a simulated 2D J-resolved MR spectrum for B0 =7 T

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

NEMESIS quantification procedure

Monte Carlo validation

22/41

Standard deviation (%)

Bias (%)

100

Single quantification Quantification strategy

75 50 25

0 100 75 50 25 0

Ala

Asp

Cho

Cre GABA Glc

Gln

Glu GSH Lac mIns NAA

Tau

Fig. 17: Bias and standard deviations calculated of the amplitude estimates

Results • Global reduction of standard deviation when using the quantification strategy • Slight reduction for Ala and Lac whose spectral signatures are strongly

overlapped with macromolecular contamination

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

CRISO method

CRISO13 algorithm • Strongly relies on Cram´ er-Rao Lower Bounds (CRB) : lowest estimation error of

a parameter in the case of an unbiased estimator • Calculates optimised sampling following t1 dimension for each metabolite in order

to minimize CRB • Calculates a rank for each t1 increments according to the CRB reduction induced

23/41

13

Cram´ er-Rao guided Irregular Sampling Optimisation

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

CRISO method

CRISO13 algorithm • Strongly relies on Cram´ er-Rao Lower Bounds (CRB) : lowest estimation error of

a parameter in the case of an unbiased estimator • Calculates optimised sampling following t1 dimension for each metabolite in order

to minimize CRB • Calculates a rank for each t1 increments according to the CRB reduction induced Ala 1st Asp 4th GABA

Glu 8th GSH 12th

Lac

mIns 16th

20

28

36

44

52

60

68

76

84

92

100

108

116

124

132

140

TE (ms)

Fig. 18: Graphical representation of optimised sampling calculated with CRISO for 7 coupled metabolites 23/41

13

Cram´ er-Rao guided Irregular Sampling Optimisation

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

Monte Carlo validation

24/41

Sampling optimisation on simulated data • 200 repetitions of the quantification procedure • 4 sampling strategies were tested : 3 optimised samplings (Ala, Asp & GABA)

and a regular sampling

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

Monte Carlo validation

24/41

Sampling optimisation on simulated data • 200 repetitions of the quantification procedure • 4 sampling strategies were tested : 3 optimised samplings (Ala, Asp & GABA)

and a regular sampling Optimised sampling for: Regular sampling:

Ala

Asp

GABA

100

Bias (%)

80 60 40

Standard deviation (%)

20 0 80 60 40 20 0

Ala

Asp

GABA

GSH

Lac

NAA

Fig. 19: Bias and standard deviations calculated of the amplitude estimates

Results • Global reduction of standard deviation when using an optimised sampling • Slight reduction of standard deviation for NAA which is not a strongly coupled

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

In vivo validation

25/41

2D J-PRESS WISH experiment • Performed on a horizontal 7T Bruker Biospec MRI • A swiss mouse model anesthetised by inhalation of isoflurane • Volume coil for emission and surface receive coil • The signal was collected from a 90 µL voxel • TR=3 s, NA=128, TE sampling was set up in order to cover the 4 previous

tested strategies.

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

In vivo validation

2D J-PRESS WISH experiment • Performed on a horizontal 7T Bruker Biospec MRI • A swiss mouse model anesthetised by inhalation of isoflurane • Volume coil for emission and surface receive coil • The signal was collected from a 90 µL voxel • TR=3 s, NA=128, TE sampling was set up in order to cover the 4 previous

tested strategies. 20

a.

x 10

7

Macromolecules 3

(Hz)

10 2 1

0

0 −10

+/−20

(Hz)

10

−1

b.

Cre

Glu Cho

x 10

GABA

NAA

7

3 2

0

1

Tau

−10

0

Cre −20 4.5

Glu

mIns 4

3.5

3

−1 2.5

2

1.5

1

0.5

(ppm)

25/41

Fig. 20: A 7T in vivo 2D JPRESS spectrum (a) and its estimated spectrum (b)

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Irregular sampling

In vivo validation

26/41

Concentration (mmol/kg)

Optimised sampling for: Regular sampling:

Ala

Asp

GABA

10

8

6

4

2

0

Asp

GABA

Gln

NAA

Fig. 21: In vivo quantification results : metabolite concentration estimates with CRB error bars

Results • Concentration estimates in agreement with literature were found using the Asp

dedicated optimised sampling • In agreement with previous results, quantification results for NAA are

independent of the sampling following t1 dimension

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Conclusions

2D J-PRESS WISH A new localised 2D MRS sequence handling irregular sampling and inversion-recovery excitation was designed

14 27/41

Roussel T et al, ESMRMB Antalya, 119, 2009

15 Roussel T et al, ISMRM-ESMRMB Stockholm, 904, 2010

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Conclusions

2D J-PRESS WISH A new localised 2D MRS sequence handling irregular sampling and inversion-recovery excitation was designed

NEMESIS14 A novel complex time domain quantification procedure relying on strong prior-knowledge was developed y GPC GSH Lac mIns N

14 27/41

Roussel T et al, ESMRMB Antalya, 119, 2009

15 Roussel T et al, ISMRM-ESMRMB Stockholm, 904, 2010

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Conclusions

2D J-PRESS WISH A new localised 2D MRS sequence handling irregular sampling and inversion-recovery excitation was designed

NEMESIS14 A novel complex time domain quantification procedure relying on strong prior-knowledge was developed y GPC GSH Lac mIns N

CRISO15 An algorithm dedicated to sampling optimisation for 2D J-resolved MRS was developed

14 27/41

Roussel T et al, ESMRMB Antalya, 119, 2009

15 Roussel T et al, ISMRM-ESMRMB Stockholm, 904, 2010

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Conclusions

2D J-PRESS WISH A new localised 2D MRS sequence handling irregular sampling and inversion-recovery excitation was designed

NEMESIS14 A novel complex time domain quantification procedure relying on strong prior-knowledge was developed y GPC GSH Lac mIns N

CRISO15 An algorithm dedicated to sampling optimisation for 2D J-resolved MRS was developed

Limitations The CRISO method, despite promising results, has a limited interest for the reduction of 2D MRS experiment acquisition time for in vivo application. 14 27/41

Roussel T et al, ESMRMB Antalya, 119, 2009

15 Roussel T et al, ISMRM-ESMRMB Stockholm, 904, 2010

Introduction

28/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

29/41

Design an ultrafast 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence spoilers

• Spatial localisation of the ultrafast signal

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

29/41

Design an ultrafast 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence spoilers

• Spatial localisation of the ultrafast signal

Develop a post-processing procedures • 2D MRS spectrum reconstruction from raw data • Spectrum quality enhancement using spatial apodisation

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

29/41

Design an ultrafast 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence spoilers

• Spatial localisation of the ultrafast signal

Develop a post-processing procedures • 2D MRS spectrum reconstruction from raw data • Spectrum quality enhancement using spatial apodisation

Validate the methods on in vitro phantoms • Spatial localisation test on a dedicated GABA/Ethanol in vitro

phantom

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Aims

29/41

Design an ultrafast 2D MRS sequence on small imaging systems • 2D MRS J-resolved spectroscopy sequence spoilers

• Spatial localisation of the ultrafast signal

Develop a post-processing procedures • 2D MRS spectrum reconstruction from raw data • Spectrum quality enhancement using spatial apodisation

Validate the methods on in vitro phantoms • Spatial localisation test on a dedicated GABA/Ethanol in vitro

phantom

This work was supported by CNRS (”SiqMu”, PEPS-INSIS CNRS 2010 funding) and was carried out in close collaboration with P. Giraudeau and S. Akoka (CEISAM laboratory, Universit´ e de Nantes)

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Introduction

Ultrafast localised 2D J-resolved Magnetic Resonance Spectroscopy

dime

ens ion

FFT along

EPI based detection

20

No FFT required along !

8 increments (or more) Scan Time = TR

Chemical shift 5

4

3

2

1

15 10 5 0

(Hz)

Voxel selection

dim

J-coupling constants

Chemical shift information is spatially encoded !

n

nsio

−5 −10 −15 −20 0

(ppm)

Fig. 22: Understanding ultrafast 2D J-resolved MRS

An ultrafast localised 2D J-resolved MRS experiment consists in : • performing an ultrafast excitation that spatially encodes the chemical shift

information along one spatial dimension • performing an EPI16 -based detection to collect the ultrafast spectra for

numerous t1 increments • Fourier transforming the data set following the t1 dimension 16 30/41

Echo Planar Imaging

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

ufJPRESS sequence

Designing the sequence

phase cycles relaxation delay

RF ACQ Water Suppression + Outer Volume Suppression

spoilers

Modules

Fig. 23: ufJPRESS pulse sequence 3D localised 2D J-Resolved ultrafast MRS

17 31/41

UltraFast J-resolved Point Resolved SpectroScopy

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

ufJPRESS sequence

Designing the sequence

phase cycles relaxation delay

RF ACQ Water Suppression + Outer Volume Suppression

spoilers

Modules

Fig. 23: ufJPRESS pulse sequence 3D localised 2D J-Resolved ultrafast MRS

ufJPRESS17 : dedicated sequence to in vivo experiment • 7T Bruker Biospec imaging system (small animal) running with Paravision 5.1 • Signal collected with a quadrature coil (transmit/receive, 32 mm, Rapid Biomed) • Preparation : VAPOR module + OVS module

17 31/41

UltraFast J-resolved Point Resolved SpectroScopy

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

ufJPRESS sequence

Ultrafast excitation scheme

phase cycles relaxation delay

RF ACQ Water Suppression + Outer Volume Suppression

spoilers

Modules

Fig. 24: ufJPRESS pulse sequence 3D localised 2D J-Resolved ultrafast MRS

Ultrafast excitation scheme • PRESS localisation scheme nested in a modified version of the ultrafast

excitation scheme proposed by Pelupessy et al.18 • Original 90◦ and 180◦ PRESS slice pulses applied during G1 and G2 gradients

perform the spatial selection in the first two dimensions • Adiabatic 180◦ chirp pulses applied during bipolar excitation gradients (±Ge )

spatially encode the chemical shift information along the third spatial dimension 18 Pelupessy P et al, JACS, 125 :12345-12350, 2003 32/41

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

ufJPRESS sequence

Detection scheme

phase cycles relaxation delay

RF ACQ Water Suppression + Outer Volume Suppression

spoilers

Modules

Fig. 25: ufJPRESS pulse sequence 3D localised 2D J-Resolved ultrafast MRS

Detection scheme • EPI-based detection scheme • EPI bipolar gradients are replaced by a positive acquisition gradient Ga followed

by a 180◦ refocussing pulse19

• Preceded by a ”shifting” gradient Gc to adjust the position of the spectral window • Spectral resolution following the conventional dimension (F1 ) depends in inverse

proportion on the detection scheme duration Td 19 33/41

Giraudeau P et al, JPBA, 43 :1243-1248, 2007

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

ufJPRESS sequence

Phase cycles

34/41

phase cycles relaxation delay

RF ACQ Water Suppression + Outer Volume Suppression

spoilers

Modules

Fig. 26: ufJPRESS pulse sequence 3D localised 2D J-Resolved ultrafast MRS

Phase cycles • φ1 [+x,+y] phase cycle that reduces constant undesired signals (F1 =0 Hz) • φ2 [+y,+y,-y,-y] phase cycle that compensates imperfections of the 180◦ hard

pulse (spurious stimulated echoes) • φ1 phase cycle requires a minimum number of 2 accumulations

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Excitation scheme optimisation

solution (70% w/w in water) • Signal collected from a 8 mm

x 8 mm x 8 mm voxel • Ultrafast excitation duration

100

Normalized peak intensity Peak linewidth

0.8

80

0.6

60

0.4

40

0.2

20

Peak linewidth in the ultrafast dimension (Hz)

• Highly concentrated ethanol

Normalized peak intensity

1

Method

Te = 2τ π optimisation 0 10

• Chirp pulse calibration using

20

30

40

50

60

70

80

90

0 100

Excitation duration (ms)

a spin-echo based sequence Fig. 27: CH3 peak intensity and peak linewidths in the ultrafast dimension according to excitation duration (Te )

35/41

20

Giraudeau P, PhD Thesis, Universit´ e de Nantes, 2008

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Excitation scheme optimisation

solution (70% w/w in water) • Signal collected from a 8 mm

x 8 mm x 8 mm voxel • Ultrafast excitation duration

100

Normalized peak intensity Peak linewidth

0.8

80

0.6

60

0.4

40

0.2

20

Peak linewidth in the ultrafast dimension (Hz)

• Highly concentrated ethanol

Normalized peak intensity

1

Method

Te = 2τ π optimisation 0 10

• Chirp pulse calibration using

20

30

40

50

60

70

80

90

0 100

Excitation duration (ms)

a spin-echo based sequence Fig. 27: CH3 peak intensity and peak linewidths in the ultrafast dimension according to excitation duration (Te )

Results • Signal-to-Noise (S/N) ratio strongly decreases according to Te 20 • Ultrafast spectral resolution increases according to Te • Good compromise is reached for Te = 30 ms

35/41

20

Giraudeau P, PhD Thesis, Universit´ e de Nantes, 2008

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Excitation scheme optimisation

solution (70% w/w in water) • Signal collected from a 8 mm

x 8 mm x 8 mm voxel • Ultrafast excitation duration

100

Normalized peak intensity Peak linewidth

0.8

80

0.6

60

0.4

40

0.2

20

Peak linewidth in the ultrafast dimension (Hz)

• Highly concentrated ethanol

Normalized peak intensity

1

Method

Te = 2τ π optimisation 0 10

• Chirp pulse calibration using

20

30

40

50

60

70

80

90

0 100

Excitation duration (ms)

a spin-echo based sequence Fig. 27: CH3 peak intensity and peak linewidths in the ultrafast dimension according to excitation duration (Te )

Results • Signal-to-Noise (S/N) ratio strongly decreases according to Te 20 • Ultrafast spectral resolution increases according to Te • Good compromise is reached for Te = 30 ms

Limitations • Short excitation duration Te requires high RF power for chirp pulses • Long excitation duration Te requires high gradient strength for Ga 35/41

20

Giraudeau P, PhD Thesis, Universit´ e de Nantes, 2008

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Ultrafast vs. conventional 2D J-Resolved MRS

Method 20

a.

• Concentrated ethanol solution (10% w/w

15

in water)

5 0

(Hz)

10

experiments were performed with n1 =128 following t1 dimension

−10 −15

4

3

2

1

−20 0

(ppm) 20

b.

15

0

(Hz)

10 5

−5 −10 −15

5

4

3

2

1

−20 0

(ppm)

Fig. 28: Tilted conventional (a) and ultrafast (b) localised 2D J-resolved spectra 36/41

mm voxel • Conventional and ultrafast 2D J-resolved

−5

5

• Signal collected from a 8 mm x 8 mm x 8

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Ultrafast vs. conventional 2D J-Resolved MRS

36/41

Method 20

a.

• Concentrated ethanol solution (10% w/w

15

in water)

5 0

(Hz)

10

experiments were performed with n1 =128 following t1 dimension

−10 −15

4

3

2

1

mm voxel • Conventional and ultrafast 2D J-resolved

−5

5

• Signal collected from a 8 mm x 8 mm x 8

−20 0

(ppm) 20

b.

F2 dimension F1 dimension Scan time

15

5 0

(Hz)

10

−5 −10

Ultrafast 17.0 Hz 2.3 Hz 20 s

Conventional 1.9 Hz 1.3 Hz 21 mins

Tab. 1: CH3 peak linewidths and scan time comparison between ultrafast and conventional 2D J-resolved MRS experiments

−15

5

4

3

2

1

−20 0

(ppm)

Fig. 28: Tilted conventional (a) and ultrafast (b) localised 2D J-resolved spectra

Observation The chemical shifts and the J coupling values of both spectra are in good agreement with literature data

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Voxel localisation

37/41

Method • Purpose-built phantom for localisation

Fig. 29: Sagittal and axial images of the γ-Aminobutyric acid (GABA) in vitro phantom (FLASH, TE/TR = 5.4/100 ms)

(OVS) bands with a 0.5 mm gap to voxel

5

• Number of Accumulations (NA) = 16

(Hz)

0 −5 −10 −15

3

2

x 5 mm voxel placed in the GABA solution

10

15

4

• Signal collected from a 5 mm x 5 mm

• 3 mm Outer Volume Saturation

20

5

tests : 1.5 mL tube containing a γ-Aminobutyric acid (GABA) solution (10% w/w in water) placed at the center of a 50 mL tube of pure ethanol

−20 1

(ppm)

Fig. 30: 3D localised 2D ultrafast J-resolved spectrum of GABA

resulting in a 2 min 40 s scan time

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Optimising the sequence

Voxel localisation

37/41

Method • Purpose-built phantom for localisation

Fig. 29: Sagittal and axial images of the γ-Aminobutyric acid (GABA) in vitro phantom (FLASH, TE/TR = 5.4/100 ms)

tests : 1.5 mL tube containing a γ-Aminobutyric acid (GABA) solution (10% w/w in water) placed at the center of a 50 mL tube of pure ethanol • Signal collected from a 5 mm x 5 mm

x 5 mm voxel placed in the GABA solution • 3 mm Outer Volume Saturation

20

10

(OVS) bands with a 0.5 mm gap to voxel

5

• Number of Accumulations (NA) = 16

0

(Hz)

15

resulting in a 2 min 40 s scan time

−5 −10

Efficient 3D localisation

−15

5

4

3

2

−20 1

(ppm)

Fig. 30: 3D localised 2D ultrafast J-resolved spectrum of GABA

Very low intensity ethanol peaks (at 1.19 and 3.67 ppm) were reported

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Data reconstruction & Post-processing procedures

38/41

20

a.

Ultrafast artefacts

15

• Raw ultrafast spectra present

5 0

(Hz)

10

−5

• These wiggles are inherent to

−10

ultrafast MR experiment

−15

5

4

3

2

1

−20 0

(ppm) 20

b.

15

0

(Hz)

10 5

−5 −10 −15

5

4

3

2

1

asymmetric sinc wiggles around peaks of interest

−20 0

(ppm)

Fig. 31: Raw (a) and post-processed (b) ultrafast 2D J-resolved spectra of a highly concentrated ethanol solution (70% w/w in water)

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Data reconstruction & Post-processing procedures

38/41

20

a.

Ultrafast artefacts

15

• Raw ultrafast spectra present

5 0

(Hz)

10

−5

asymmetric sinc wiggles around peaks of interest • These wiggles are inherent to

−10

ultrafast MR experiment

−15

5

4

3

2

1

−20 0

(ppm)

Automatic post-processing procedure 20

b.

• Based on spatial apodization

15

• The optimal apodization window

5 0

(Hz)

10

−5 −10 −15

5

4

3

2

1

−20 0

(ppm)

Fig. 31: Raw (a) and post-processed (b) ultrafast 2D J-resolved spectra of a highly concentrated ethanol solution (70% w/w in water)

width is automatically estimated in order to improve S/N ratio without decreasing spectral resolution • The ”apparent” S/N ratio is usually

2.5 times higher while linewidth increases by only 2 Hz

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Data reconstruction & Post-processing procedures

Ultrafast artefacts

4

Amplitude

20

x 10

a.

Gaussian apodization window

15 10

• Raw ultrafast spectra present

asymmetric sinc wiggles around peaks of interest

5

• These wiggles are inherent to ultrafast

0 −5 900

950

1000

1050

1100

1150

MR experiment21

Spatial dimension (pts)

(ms)

200

b.

Automatic post-processing procedure

Estimation of linewidth in the ultrafast dimension

150 100

• Based on spatial apodization22 • The optimal apodization window

50 0 1.8

1.6

1.4

1.2

1

(ppm)

width is automatically estimated in order to improve S/N ratio without decreasing spectral resolution • The ”apparent” S/N ratio is usually

Fig. 32: Inverse Fourier transformed ultrafast signals apodised in the spatial dimension with an optimised gaussian window (a) and the corresponding CH3 2D peak in the F2 t1 plan where linewidth estimation is performed (b) 21 Shapira B et al, JMR, 166 :152-163, 2004 22

Giraudeau P et al, MRC, 49 :307-313, 2011

39/41

2.5 times higher while linewidth increases by only 2 Hz

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Quantitative conventional 2D MRS • 2D J-PRESS WISH : a new localised 2D MRS sequence • NEMESIS : a novel complex time domain quantification procedure • CRISO : an algorithm for sampling optimisation Gly GPC GSH Lac mIns

23 24 40/41

25

Tk´ ac I et al, MRM, 41 :649-656, 1999 Roussel T et al, JMR, 215 :50-55, 2012 Roussel T et al, ISMRM Melbourne, 2012

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Quantitative conventional 2D MRS • 2D J-PRESS WISH : a new localised 2D MRS sequence • NEMESIS : a novel complex time domain quantification procedure • CRISO : an algorithm for sampling optimisation Gly GPC GSH Lac mIns

Perspectives • 2D J-PRESS WISH : ultra short TE acquisition23 • CRISO : integration of NA accumulation handling • NEMESIS : regularisation terms

23 24 40/41

25

Tk´ ac I et al, MRM, 41 :649-656, 1999 Roussel T et al, JMR, 215 :50-55, 2012 Roussel T et al, ISMRM Melbourne, 2012

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Quantitative conventional 2D MRS • 2D J-PRESS WISH : a new localised 2D MRS sequence • NEMESIS : a novel complex time domain quantification procedure • CRISO : an algorithm for sampling optimisation Gly GPC GSH Lac mIns

Perspectives • 2D J-PRESS WISH : ultra short TE acquisition23 • CRISO : integration of NA accumulation handling • NEMESIS : regularisation terms

Ultrafast 2D MRS • ufJPRESS : First 3D localised 2D J-resolved ultrafast MRS sequence spoilers

23 24 40/41

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• Feasibility stage shows good quality for in vitro spectra24 25

Tk´ ac I et al, MRM, 41 :649-656, 1999 Roussel T et al, JMR, 215 :50-55, 2012 Roussel T et al, ISMRM Melbourne, 2012

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Quantitative conventional 2D MRS • 2D J-PRESS WISH : a new localised 2D MRS sequence • NEMESIS : a novel complex time domain quantification procedure • CRISO : an algorithm for sampling optimisation Gly GPC GSH Lac mIns

Perspectives • 2D J-PRESS WISH : ultra short TE acquisition23 • CRISO : integration of NA accumulation handling • NEMESIS : regularisation terms

Ultrafast 2D MRS • ufJPRESS : First 3D localised 2D J-resolved ultrafast MRS sequence spoilers

• Feasibility stage shows good quality for in vitro spectra24 25

Perspectives • Great potential as it could be combined to high SNR spectroscopy applications • Optimised trajectory in the plan (k/ν1 , F2 ) during detection • Ultrafast spectroscopic imaging 23 24 40/41

25

Tk´ ac I et al, MRM, 41 :649-656, 1999 Roussel T et al, JMR, 215 :50-55, 2012 Roussel T et al, ISMRM Melbourne, 2012

Introduction

41/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Publications • 1 first-author article : 3D localised 2D ultrafast J-resolved magnetic resonance

spectroscopy : In vitro study on a 7T imaging system, JMR, 215 :50-55, 2012 • 2 first-author oral communications in international conferences • 4 first-author poster communications in international conferences • 3 first-author communications in national conferences

Introduction

41/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Publications • 1 first-author article : 3D localised 2D ultrafast J-resolved magnetic resonance

spectroscopy : In vitro study on a 7T imaging system, JMR, 215 :50-55, 2012 • 2 first-author oral communications in international conferences • 4 first-author poster communications in international conferences • 3 first-author communications in national conferences

Scientific collaborations • ”SiqMu” project (PEPS CNRS 2010 funding) in close collaboration with P.

Giraudeau and S. Akoka (CEISAM laboratory, Universit´ e de Nantes) • Scientific collaboration with Frydman group in October 2012

Introduction

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Publications • 1 first-author article : 3D localised 2D ultrafast J-resolved magnetic resonance

spectroscopy : In vitro study on a 7T imaging system, JMR, 215 :50-55, 2012 • 2 first-author oral communications in international conferences • 4 first-author poster communications in international conferences • 3 first-author communications in national conferences

Scientific collaborations • ”SiqMu” project (PEPS CNRS 2010 funding) in close collaboration with P.

Giraudeau and S. Akoka (CEISAM laboratory, Universit´ e de Nantes) • Scientific collaboration with Frydman group in October 2012

MRI facilities • 4.7 T small animal Bruker Biospec MRI : CREATIS, CPE, Villeurbanne • 7 T small animal Bruker Biospec MRI : ANIMAGE, CERMEP, Bron • Bruker pulse programming course, Ettlingen, Germany

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Introduction

41/41

State of the art

Goals

Quantitative conventional 2D MRS

Ultrafast 2D MRS

Conclusions & Perspectives

Publications • 1 first-author article : 3D localised 2D ultrafast J-resolved magnetic resonance

spectroscopy : In vitro study on a 7T imaging system, JMR, 215 :50-55, 2012 • 2 first-author oral communications in international conferences • 4 first-author poster communications in international conferences • 3 first-author communications in national conferences

Scientific collaborations • ”SiqMu” project (PEPS CNRS 2010 funding) in close collaboration with P.

Giraudeau and S. Akoka (CEISAM laboratory, Universit´ e de Nantes) • Scientific collaboration with Frydman group in October 2012

MRI facilities • 4.7 T small animal Bruker Biospec MRI : CREATIS, CPE, Villeurbanne • 7 T small animal Bruker Biospec MRI : ANIMAGE, CERMEP, Bron • Bruker pulse programming course, Ettlingen, Germany

Computer calculation facilities CREATIS computer cluster for Monte Carlo studies

Introduction

42/41

State of the art

Goals

Quantitative conventional 2D MRS

Thank you for your attention !

Ultrafast 2D MRS

Conclusions & Perspectives