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

 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.