bimonthly meeting on july 22, 2008 mathematical model for mrs amarjeet bhullar
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![Page 1: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/1.jpg)
Bimonthly Meeting on July 22, 2008
Mathematical Model for MRS
Amarjeet Bhullar
![Page 2: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/2.jpg)
S9.6 S19.6 S29.6
3 scans from the patient Patient Name: AD Exam ID: 4465
![Page 3: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/3.jpg)
Metabolite Concentrations: Choline and Creatine
![Page 4: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/4.jpg)
NAA Distribution
![Page 5: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/5.jpg)
Metabolite Ratios: Choline/Creatine
![Page 6: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/6.jpg)
Metabolite Ratios: Choline/NAA and NAA/Choline
![Page 7: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/7.jpg)
Metabolite Ratios
Cre
Cho
NAA
ChoCho
NAA
![Page 8: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/8.jpg)
PRESS ROI Superimposed on S19.6 Image: Ratio of the Cho/Cre
![Page 9: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/9.jpg)
PRESS ROI Superimposed on S19.6 Image: Ratio of the Cho/NAA
![Page 10: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/10.jpg)
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
![Page 11: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/11.jpg)
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
![Page 12: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/12.jpg)
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
![Page 13: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/13.jpg)
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
![Page 14: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/14.jpg)
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
![Page 15: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/15.jpg)
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
![Page 16: Bimonthly Meeting on July 22, 2008 Mathematical Model for MRS Amarjeet Bhullar](https://reader035.vdocuments.us/reader035/viewer/2022062516/56649d565503460f94a34b3e/html5/thumbnails/16.jpg)
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