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Table 3 Concordance correlation coefficients (CCC) comparing fitted and simulated Ktrans using different models and dependent parameters

From: ROCKETSHIP: a flexible and modular software tool for the planning, processing and analysis of dynamic MRI studies

Generating model

Fitting model

Time resolution (s)

SNR

Dependent parameter

vp = 0.001

0.005

0.01

0.02

0.05

0.1

Patlak

Patlak

0.5

5

vp

1.00

1.00

1.00

1.00

1.00

1.00

  

0.5

100

vp

1.00

1.00

1.00

1.00

1.00

1.00

  

6

5

vp

0.98

0.98

0.98

0.98

0.98

0.98

  

6

100

vp

1.00

1.00

1.00

1.00

1.00

1.00

     

ve = 0.01

0.02

0.05

0.1

0.2

0.5

Tofts

Tofts

0.5

5

ve

0.38

0.85

0.98

0.99

1.00

1.00

  

0.5

100

ve

1.00

1.00

1.00

1.00

1.00

1.00

  

6

5

ve

0.08

0.32

0.76

0.92

0.96

0.97

  

6

100

ve

0.67

0.92

1.00

1.00

1.00

1.00

     

ve = 0.01

0.02

0.05

0.1

0.2

0.5

Ex-Tofts

Ex-Tofts

0.5

5

ve

0.01

0.33

0.95

0.99

1.00

1.00

  

0.5

100

ve

0.92

1.00

1.00

1.00

1.00

1.00

  

6

5

ve

−0.02

0.05

0.41

0.84

0.96

0.98

  

6

100

ve

0.22

0.48

0.98

1.00

1.00

1.00

     

vp = 0.001

0.005

0.01

0.02

0.05

0.1

  

0.5

5

vp

0.74

0.73

0.71

0.68

0.61

0.51

  

0.5

100

vp

0.99

0.98

0.98

0.99

0.99

0.98

  

6

5

vp

0.57

0.58

0.57

0.56

0.45

0.41

  

6

100

vp

0.89

0.90

0.88

0.81

0.54

0.35

     

ve = 0.01

0.02

0.05

0.1

0.2

0.5

2CXM

2CXM

0.5

5

ve

−0.02

−0.02

0.11

0.22

0.65

0.90

  

0.5

100

ve

0.07

0.42

0.65

0.76

0.98

0.99

  

6

5

ve

−0.01

−0.01

−0.01

0.10

0.52

0.84

  

6

100

ve

−0.03

−0.06

0.04

0.38

0.84

0.98

     

vp = 0.001

0.005

0.01

0.02

0.05

0.1

  

0.5

5

vp

0.18

0.20

0.23

0.31

0.43

0.47

  

0.5

100

vp

0.32

0.63

0.72

0.76

0.76

0.74

  

6

5

vp

0.20

0.19

0.21

0.21

0.28

0.29

  

6

100

vp

0.18

0.26

0.34

0.41

0.45

0.45

     

Fp = 0.5

1

5

   
  

0.5

5

Fp

0.21

0.30

0.40

   
  

0.5

100

Fp

0.46

0.69

0.81

   
  

6

5

Fp

0.20

0.22

0.27

   
  

6

100

Fp

0.26

0.35

0.43

   
     

vp = 0.001

0.005

0.01

0.02

0.05

0.1

     

vp = 0.001

0.005

0.01

0.02

0.05

0.1

  

0.5

5

vp

0.98

1.00

0.98

1.00

1.00

1.00

  

0.5

100

vp

1.00

1.00

1.00

1.00

1.00

1.00

  

6

5

vp

0.88

0.88

0.88

0.91

0.98

0.99

  

6

100

vp

1.00

1.00

1.00

1.00

1.00

1.00

Tissue uptake

Tissue uptake

0.5

5

vp

0.98

1.00

0.98

1.00

1.00

1.00

  

0.5

100

vp

1.00

1.00

1.00

1.00

1.00

1.00

  

6

5

vp

0.88

0.88

0.88

0.91

0.98

0.99

  

6

100

vp

1.00

1.00

1.00

1.00

1.00

1.00

     

Fp = 0.5

1

5

   
  

0.5

5

Fp

1.00

0.98

1.00

   
  

0.5

100

Fp

1.00

1.00

1.00

   
  

6

5

Fp

0.82

0.97

0.98

   
  

6

100

Fp

1.00

1.00

    
     

ve = 0.01

0.02

0.05

0.1

0.2

0.5

     

ve = 0.01

0.02

0.05

0.1

0.2

0.5

  

0.5

5

ve

−0.01

0.02

0.08

0.14

0.39

0.95

  

0.5

100

ve

0.07

0.31

0.97

1.00

1.00

1.00

  

6

5

ve

0.01

−0.01

0.03

0.06

0.12

0.38

  

6

100

ve

0.05

0.14

0.71

0.96

0.99

1.00

     

τi = 0.1

0.5

2

   
  

0.5

5

Ï„i

0.11

0.14

0.14

   
  

0.5

100

Ï„i

0.56

0.59

0.56

   
  

6

5

Ï„i

0.06

0.07

0.07

   
  

6

100

Ï„i

0.54

0.61

0.52

   
  1. 100 curves for each model and fixed dependent parameter were generated as described in the text and Table 2. Ktrans values simulated are defined in Table 2. The CCC was calculated from the Ktrans (simulated) vs. Ktrans (fitted), such as depicted in Figure 5. Ktrans values from which CCCs were calculated were segregated according to the dependent parameter (vp, ve or Fp). A value of 1 shows near-perfect concordance, while 0 represents a low concordance relationship