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Bimonthly Meeting on August 22, 2008
Chemical Information on Brain Tissue by Different Methods
Amarjeet Bhullar
We have compared metabolite ratios, calculated using three different methods:
• Directly Generated by Functool
• Metabolites Concentration Generated by
Functool
• Gaussian Function Overlapped on metabolite peak
S19.6
Exam ID: 4465June 23, 2008
Patient Name:
AD
Mathematical Model: Gaussian Function
2
2)(2
2/)( w
xx c
ew
Axf
)4ln(
1ww 2/w
Ah
60 62 64 66 68 70 72 74 76 78 800
50
100
150
200
250
300
1w
Adxew
A w
xx c
2
2)(2
2/
?2/
max
min
2
2)(2
dxe
w
Ax
x
w
xx c
?2/
max
min
2
2)(2
dxe
w
Ax
x
w
xx c
2
2min
2
2max )(2
,2
1)(2,
2
1
2 w
xx
w
xxA cc
We can solve this integral by numerically and by explicit expression
ExplicitExpression
Numerically
NAACre
PPM
Cho
How to compute metabolite concentration
Spectrum
Concentration of the Choline
60 65 70 75 800
100
200
300
PPM 3.27 3.19 3.123.34Image #
Sign
al (
MR
Uni
ts)
3.4260 65 70 75 80
0
100
200
300
3.27 3.19 3.123.343.42
Cho=Area under the curve between 3.34 and 3.19 PPM
Concentration of the Creatine
Cre=Area under the curve between 3.16 and 3.00 PPM
75 80 85 900
100
200
300
PPM Image #
3.933.003.083.16
Sign
al (
MR
Uni
ts)
3.2375 80 85 90
3.933.003.083.163.23
Concentration of the NAA
NAA=Area under the curve between 2.19 and 2.02 PPM
140 145 150 1550
200
400
600
PPM Image #
Sig
nal
(M
R U
nit
s)
2.26 2.18 2.11 2.03 1.96140 145 150 155
2.26 2.18 2.11 2.03 1.96
50 100 150 200 2500
100
200
300
NAA
Cre
Voxel # 23 Cho=755.54 Cre=802.10 NAA=1734.73
Sig
nal
(M
R U
nit
s)
Image #
4.3 3.56 2.82 2.07 1.32 0.57 PPM
Cho
50 100 150 200 250-300
0
300
600
Image Number
Sig
nal
(M
R U
nit
s)
Voxel # 23
Real Spectrum
Voxel #23 Functool-1 Functool-2 Our Calculation
Cho/Cre 0.782 0.848 0.941
Cho/NAA 0.392 0.389 0.435
Chemical Information on Voxel # 23
50 100 150 200 250
-500
-250
0
NAA
Cre
Voxel # 24
Cho=1067.30 Cre=1061.25 NAA=2330.02
Sig
nal
(M
R U
nit
s)
Image #
4.3 3.56 2.82 2.07 1.32 0.57 PPM
Cho
50 100 150 200 250
-400
-200
0
200
400
600
Image Number
Sign
al (
MR
Uni
ts)
Real Spectrum
Voxel # 24
Voxel #24 Functool-1 Functool-2 Our Calculation
Cho/Cre 0.961 0.961 1.00
Cho/NAA 0.449 0.441 0.458
Chemical Information on Voxel # 24
50 100 150 200 250
-150
0
150
300
450
Sign
al (
MR
Uni
ts)
Image Number
Real Spectrum
Voxel # 25
50 100 150 200 2500
200
400
600
NAA
Cre
Sig
nal
(M
R U
nit
s)
Image #
Cho=2314.36 Cre=2082.05 NAA=4515.09
Voxel # 25
4.3 3.56 2.82 2.07 1.32 0.57 PPM
Cho
Voxel #25 Functool-1 Functool-2 Our Calculation
Cho/Cre 1.13 1.11 1.11
Cho/NAA 0.534 0.531 0.512
Chemical Information on Voxel # 25
50 100 150 200 250
-200
0
200
400
600Voxel # 26
Sig
nal
(M
R U
nit
s)
Image Number50 100 150 200 250
0
200
400
600
NAA
Cre
Voxel # 26
Image #
Sign
al (
MR
Uni
ts)
Cho=2481.08 Cre=2429.73 NAA=4462.57
4.3 3.56 2.82 2.07 1.32 0.57 PPM
Cho
Voxel #26 Functool-1 Functool-2 Our Calculation
Cho/Cre 1.01 1.01 1.02
Cho/NAA 0.594 0.592 0.555
Chemical Information on Voxel # 26
50 100 150 200 250
-200
0
200
400
600
Sig
nal
(M
R U
nit
s)
Image Number
Real Data
Voxel # 27
50 100 150 200 250
-200
-100
0
NAA
Cre
Voxel # 27
Cho=1040.97Cre=1672.65NAA=1187.48
Image #
Sig
nal
(M
R U
nit
s)
Cho
4.3 3.56 2.82 2.07 1.32 0.57 PPM
Voxel #27 Functool-1 Functool-2 Our Calculation
Cho/Cre 0.621 0.621 0.622
Cho/NAA 0.780 0.780 0.876
Chemical Information on Voxel # 27
50 100 150 200 2500
100
200
300
400
500
NAA
Cre
Sig
nal
(M
R U
nit
s)
Image #
Voxel # 30 Cho=2188.77 Cre=1969.33 NAA=3855.13
4.3 3.56 2.82 2.07 1.32 0.57 PPM
Cho
50 100 150 200 250
0
150
300
450
Sign
al (
MR
Uni
ts)
Image Number
Real Spectrum
Voxel # 30
Voxel #25 Functool-1 Functool-2 Our Calculation
Cho/Cre 1.07 1.20 1.11
Cho/NAA 0.626 0.625 0.567
Chemical Information on Voxel # 30
Conclusion:
There is no significant difference between our calculation and Functool.
Suggestions are welcome
