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Table 1 The bending energy and change of tumor volumes are calculated using the constrained (ABA_CON) and unconstrained ABA algorithms (ABA), respectively

From: An algorithm for longitudinal registration of PET/CT images acquired during neoadjuvant chemotherapy in breast cancer: preliminary results

Patient number

Dataset

Bending energy

Change of tumor volumes

  

ABA

ABA_CON

ABA (%)

ABA_CON (%)

1

t 1 → t 3

0.052

0.002

63.21

0.00

 

t 2 → t 3

0.036

0.000

78.99

7.59

2

t 1 → t 3

0.079

0.000

63.13

9.28

 

t 2 → t 3

0.051

0.001

61.07

0.09

3

t 1 → t 3

0.021

0.000

51.01

0.00

 

t 2 → t 3

0.036

0.000

48.84

0.48

4

t 1 → t 3

0.057

0.001

16.38

1.43

 

t 2 → t 3

0.004

0.001

−6.95

−6.66

5

t 1 → t 3

0.011

0.007

40.15

36.50

 

t 2 → t 3

0.012

0.009

−1.30

5.41

6

t 1 → t 3

0.051

0.035

17.27

−19.97

 

t 2 → t 3

0.020

0.024

9.89

9.16

7

t 1 → t 3

0.019

0.020

33.33

32.85

 

t 2 → t 3

0.006

0.005

12.34

19.23

8

t 1 → t 3

0.015

0.015

16.29

12.45

 

t 2 → t 3

0.012

0.020

4.96

0.39

9

t 1 → t 3

0.004

0.003

−5.62

−6.80

 

t 2 → t 3

0.001

0.001

16.58

14.32

10

t 1 → t 3

0.001

0.000

26.55

14.55

 

t 2 → t 3

0.002

0.001

8.52

−4.92

Median

 

0.017

0.0015

16.93

3.42

p values

 

0.005

0.002

  1. The Wilcoxon signed rank test was applied to the data to determine if the results are significantly different (p values are listed in the final row). The results demonstrate that the constrained ABA causes smoother deformation fields and preserves tumor volumes significantly.