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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.