Table 2 Optimized and non-optimized sampling schedules for both multi-exponential models.

From: Optimization of spin-lock times for T mapping of human knee cartilage with bi- and stretched-exponential models

Bi-exponential

K

CRLB

MCRLB

4

[0.5 4.7 22 55]

[0.5 3 20 55]

5

[0.5 4.7 23 55 55]

[0.5 2.1 6 22 55]

6

[0.5 5 24 24 55 55]

[0.5 2.2 6 21 22 55]

7

[0.5 5 24 25 55 55 55]

[0.5 2.1 6 23 23 55 55]

8

[0.5 5 25 25 25 55 55 55]

[0.5 1.7 5 6 22 22 55 55]

9

[0.5 4.4 7 24 24 24 55 55 55]

[0.5 1.8 6 6 22 22 22 55 55]

10

[0.5 4.4 7 24 25 25 55 55 55 55]

[0.5 1.8 6 6 23 23 23 55 55 55]

11

[0.5 4.6 7 24 24 25 25 55 55 55 55]

[0.5 1.8 6 6 22 23 23 23 55 55 55]

12

[0.5 4.6 7 25 25 25 25 55 55 55 55 55]

[0.5 1.8 6 6 23 23 23 23 55 55 55 55]

Non-optimized

4

[0.5 18 37 55]

 

5

[0.5 14 28 41 55]

 

6

[0.5 11 22 33 44 55]

 

7

[0.5 9 18 28 37 46 55]

 

8

[0.5 8 16 24 31 39 47 55]

 

9

[0.5 7 14 21 28 34 41 48 55]

 

10

[0.5 6 12 18 24 31 37 43 49 55]

 

11

[0.5 6 11 17 22 28 33 39 44 50 55]

 

12

[0.5 5 10 15 20 25 30 35 40 45 50 55]

 

Stretched-exponential

 

CRLB

MCRLB

3

[0.5 11 55]

[0.5 11 55]

4

[0.5 10 16 55]

[0.5 12 14 55]

5

[0.5 12 13 55 55]

[0.5 12 13 55 55]

6

[0.5 0.5 9 17 55 55]

[0.5 0.5 11 11 55 55]

7

[0.5 0.5 11 11 55 55 55]

[0.5 0.5 12 12 12 55 55]

8

[0.5 0.5 9 10 30 55 55 55]

[0.5 0.5 12 12 12 55 55 55]

9

[0.5 0.5 12 12 12 55 55 55 55]

[0.5 0.5 0.5 11 11 12 55 55 55]

Non-optimized

3

[0.5 28 55]

 

4

[0.5 19 37 55]

 

5

[0.5 14 28 42 55]

 

6

[0.5 12 23 33 44 55]

 

7

[0.5 10 19 28 37 46 55]

 

8

[0.5 9 16 24 32 40 47 55]

 

9

[0.5 8 14 21 28 35 42 48 55]