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Table 1 Summary of characteristics for Bloch simulation numerically optimized saturation pulses

From: Saturation pulse design for quantitative myocardial T1 mapping

  

Flip Angle [°]

Duration [ms]

Relative RF Energy

Relative Peak RF Power

Residual |MZ/M0| [%] mean±std (max)

Reference saturation pulses

90°-90°-90°

90-90-90

18.7

1.0

1.0

2.86±2.98 (11.31)

BIR4-90

25.1 μT (adiabatic)

11.1

11.0

4.1

0.92±0.92 (5.32)

Optimized for 1.5T

BIR4-90

20.6 μT (adiabatic)

12.2

10.0

2.9

0.30±0.14 (0.91)

B0 = ±120 Hz

3 pulse train

90−107−126

19.5

2.7

5.2

0.40±0.21 (0.80)

\( {\widehat{B}}_1 \)=0.7–1.0

4 pulse train

96−91−127−124

23.6

3.7

5.2

0.11±0.07 (0.25)

B1 field = 26.9 μT

5 pulse train

89−106−89−145−127

27.4

4.7

5.2

0.06±0.03 (0.11)

6 pulse train

116−99−81−92−146−139

30.6

5.7

5.2

0.02±0.01 (0.04)

Optimized for 3T

3 pulse train

220−136−93

20.8

2.0

1.4

4.33±2.49 (8.70)

B0 = ±240 Hz

4 pulse train

75−103−149−213

25.0

2.4

1.4

1.99±1.22 (4.17)

\( {\widehat{B}}_1 \)= 0.4–1.2

5 pulse train

99−76−120−169−220

29.2

3.0

1.4

0.64±0.41 (1.58)

B1 field = 14 μT

6 pulse train

115−90−125−85−176−223

32.8

3.6

1.4

0.27±0.19 (0.87)

  1. Total duration values include post-spoiler and pre-spoilers where applicable. Residual MZ/M0 values are simulated using Bloch equation simulations and the mean, standard deviation, and maximum are calculated over the entire optimization space, i.e. B0, \( {\widehat{B}}_1 \), and T1. Residual MZ/M0 for reference pulses was evaluated over the 1.5 T \( {\widehat{B}}_1 \) range. Relative RF energy and power are normalized to a reference 90°-90°-90° pulse train as described in the methods