Digital Signal Processing Reference
In-Depth Information
Exact Reconstructions of Metabolite Concentrations by FPT (−) : Partial Signal Length N P = 1500
Types of Tissue on Three Panels : (i) Normal, (ii) Fibroadenoma, (iii) Malignant
Two Sets of Independent Abscissae and Ordinates: [Bottom,Left] ## 3−9 (Cho,...,m−Ins) and [Top,Right] ## 1, 2 (Lac,Ala)
Metabolite Map for Concentrations: x (Input Data), o (Pade−Reconstructed Data)
2.6
2.32
2.04
1.76
1.48
1.2
0.5
0.6
PADE: FPT (−)
N P = 1500
CONVERGED
ν L = 600 MHz
B 0
7
(3.25 ppm, 0.45
0.4
0.48
µ
M/g ww)
1
(1.33, 0.504)
Lac
m−Ins
β
−Glc
(3.28, 0.286)
9
0.3
0.36
14.1 T
Tau
PE
Normal
0.2
0.24
(3.27, 0.1325)
(3.22, 0.129)
8
5
Ala
(1.47, 0.0875)
0.1
0.12
2
GPC
PCho
(3.22, 0.019)
6
(3.23, 0.032)
4
3
Cho
(3.21, 0.017)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(i) Chemical shift (ppm)
Metabolite Map for Concentrations: x (Input Data), o (Pade−Reconstructed Data)
2.6
2.32
2.04
1.76
1.48
1.2
1.05
1.6
PADE: FPT (−)
N P = 1500
CONVERGED
ν L = 600 MHz
B 0 14.1 T
Fibroadenoma
7
(3.25 ppm, 0.978
1
(1.33, 1.482)
Lac
µ
M/g ww)
0.84
1.28
β −Glc
m−Ins
0.63
0.96
(3.28, 0.465)
PE
9
(3.22, 0.369)
5
0.42
0.64
8
(3.27, 0.338)
Tau
Ala
PCho
0.21
0.32
GPC
(1.47, 0.110)
4
(3.22, 0.108)
2
6
(3.23, 0.0690)
Cho
3
(3.21, 0.0220)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(ii) Chemical shift (ppm)
Metabolite Map for Concentrations: x (Input Data), o (Pade−Reconstructed Data)
2.6
2.32
2.04
1.76
1.48
1.2
3
10
Lac
PADE: FPT (−)
N P = 1500
CONVERGED
8
(3.27 ppm, 2.7955 µ M/g ww)
Tau
1
PE
2.4
8
(1.33, 8.1185)
(3.22, 1.944)
5
1.8
6
ν L = 600 MHz
B 0 14.1 T
Malignant
m−Ins
1.2
(3.28, 0.891)
β −Glc
4
9
(3.25, 0.7205)
7
PCho
Ala
0.6
(3.22, 0.612)
2
GPC
(1.47, 0.789)
4
6
2
3
Cho
(3.21, 0.1115)
(3.23, 0.234)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(iii) Chemical shift (ppm)
FIGURE 10.8
Converged Padereconstructed metabolite concentrations N P = 1500 for nor
mal breast tissue breast tissue (top panel (i)), benign breast pathology (fi
broadenoma) (middle panel (ii)) and breast cancer (bottom panel (iii)) based
upon in vitro data of Ref. [395].
 
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