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
1.05
1.6
PADE: FPT
(−)
N
P
= 1000
PCho (# 4) Unresolved
PE (# 5) Overestimated
ν
L
= 600 MHz
B
0
≈
14.1 T
7
(3.25 ppm, 0.978
1
(1.33, 1.482)
Lac
µ
M/g ww)
0.84
1.28
β
−Glc
PCho+PE
m−Ins
0.63
0.96
(3.22, 0.4773)
(3.28, 0.465)
4+5
9
0.42
0.64
Fibroadenoma
8
(3.27, 0.338)
Tau
Ala
0.21
0.32
GPC
(1.47, 0.110)
6
(3.23, 0.0689)
2
Cho
3
(3.21, 0.0219)
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)
6
2
Cho
3
(3.23, 0.0690)
(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
1.05
1.6
PADE: FPT
(−)
N
P
= 2000
CONVERGED
ν
L
= 600 MHz
B
0
≈
14.1 T
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
Fibroadenoma
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)
6
(3.23, 0.0690)
2
Cho
3
(3.21, 0.0220)
0
0
3.3
3.26
3.22
3.18
3.14
3.1
(iii) Chemical shift (ppm)
FIGURE 10.4
Padereconstructed metabolite concentrations in fibroadenoma based upon in
vitro MRS data from Ref. [395].
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