Post on 21-Dec-2015
Bimonthly Meeting on July 22, 2008
Mathematical Model for MRS
Amarjeet Bhullar
S9.6 S19.6 S29.6
3 scans from the patient Patient Name: AD Exam ID: 4465
Metabolite Concentrations: Choline and Creatine
NAA Distribution
Metabolite Ratios: Choline/Creatine
Metabolite Ratios: Choline/NAA and NAA/Choline
Metabolite Ratios
Cre
Cho
NAA
ChoCho
NAA
PRESS ROI Superimposed on S19.6 Image: Ratio of the Cho/Cre
PRESS ROI Superimposed on S19.6 Image: Ratio of the Cho/NAA
Mathematical Model: Gaussian function
2
2)(2
02/
w
xx c
ew
Ayy
),( cc yx
0yy 2
)( 0yyc
1w2/
0 w
Ayyc
)4ln(1ww
Full width at half maximum
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5
-400
-200
0
200
400
600
SI
PPM
3 Gaussian functions Real Data
Choline
Creatine
NAA
Cre
Cho
NAA
Cho
Spectrum from 3 Gaussian functions
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5-200
0
200
400
600Voxel # 25
SI
PPM
Real Data
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5
-200
0
200
400
600 Voxel # 26
SI
PPM
Real Data
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5
-200
0
200
400
600Voxel # 27
Real Data
SI
PPM
4.0 3.6 3.2 2.8 2.4 2.0 1.6 1.2 0.8-600
-400
-200
0
200
400
600
800SI
PPM
Real Data
Voxel # 24
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5-200
0
200
400
600Voxel # 30
SI
PPM
Real Data
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5-300
-200
-100
0
100
200
300 Voxel # 31
SI
PPM
Real Data
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5-200
0
200
400Voxel # 32
SI
PPM
Real Data
4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5
-200
0
200
400
Voxel # 33
SI
PPM
Real Data
0.0
0.5
1.0
1.5
2.025
49
76
54
32
1
1413
1211
109
8
35
33
32
15
40
34
1817
16
282120
2423
22
4241
27
26
31
29
43
48
47
464544
30Cho/Cre
Voxel Wise Distribution
0.0
0.5
1.049
48
47
45 46
42
41
40
35
34
3231
30
29
2827
26252423
22
2120
19
1817
1615
1413
1211
109
8
76
54
32
Cho/NAA
1
Voxel Wise Distribution
Conclusion:
Analytical expression to compute the area which represents the concentration of the metabolites.
Next Step:
To compare with our ratios with Functoolratios
Suggestions are welcome