Digital Signal Processing Reference
In-Depth Information
Convergence of Metabolite Concentrations Reconstructed by FPT
(−)
: Partial Signal Lengths N
P
= 1000, 1500, 2000
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
3
10
Lac
PCho+PE
PADE: FPT
(−)
N
P
= 1000
8
(3.27 ppm, 2.7954
1
4+5
(3.22, 2.558)
µ
M/g ww)
2.4
8
Tau
(1.33, 8.1185)
PCho (# 4) Unresolved
PE (# 5) Overestimated
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, 0.7204)
7
Ala
0.6
2
GPC
(1.47, 0.789)
6
2
Cho
3
(3.21, 0.1111)
(3.23, 0.233)
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
3
10
Lac
PADE: FPT
(−)
N
P
= 1500
CONVERGED
8
(3.27 ppm, 2.7955
1
µ
M/g ww)
PE
2.4
8
Tau
(3.22, 1.944)
(1.33, 8.1185)
5
1.8
6
ν
L
= 600 MHz
B
0
14.1 T
≈
m−Ins
1.2
(3.28, 0.891)
β
−Glc
4
Malignant
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
(3.23, 0.234)
(3.21, 0.1115)
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
= 2000
8
(3.27 ppm, 2.7955
1
µ
M/g ww)
PE
2.4
8
Tau
(1.33, 8.1185)
(3.22, 1.944)
5
CONVERGED
1.8
6
ν
L
= 600 MHz
B
0
≈
14.1 T
m−Ins
1.2
(3.28, 0.891)
β
−Glc
4
Malignant
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 10.6
Padereconstructed metabolite concentrations in malignant breast based upon
in vitro MRS data from Ref. [395].
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