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Table 3 Mean and std deviation of gating errors with prediction length of 0.4 s and 0.6 s for 21 liver cancer patients and 10 lung cancer patients, as well as calculation time for each model

From: Online prediction for respiratory movement compensation: a patient-specific gating control for MRI-guided radiotherapy

PW

Model

Liver organs

Lung tumors

Time

(ms)

Crossing

(ms)

Gating

(ms)

Gat-acc

(%)

Crossing

(ms)

Gating

(ms)

Gat-acc

(%)

0.4 s

(j = 2)

Linear

30 ± 25

190 ± 27

93.9 ± 2.1

25 ± 28

183 ± 65

91.6 ± 3.3

0.06

Ridge

32 ± 27

190 ± 30

93.8 ± 2.1

25 ± 29

184 ± 66

91.4 ± 3.3

0.07

L2-L1

58 ± 24

184 ± 46

93.3 ± 2.3

44 ± 29

191 ± 76

90.1 ± 3.9

0.03

LSTM

75 ± 64

232 ± 141

93.0 ± 4.2

75 ± 52

233 ± 111

90.5 ± 4.7

3.71

Bi-LSTM

73 ± 53

285 ± 261

90.6 ± 9.9

70 ± 52

267 ± 101

90.0 ± 4.8

5.43

GRU

71 ± 69

283 ± 250

90.5 ± 16

47 ± 44

249 ± 107

90.2 ± 4.7

3.36

KF

68 ± 32

240 ± 130

91.2 ± 17

52 ± 32

212 ± 94

91.2 ± 3.7

0.02

0.6 s

(j = 3)

Linear

56 ± 33

56 ± 33

98.3 ± 1.0

45 ± 30

45 ± 30

98.0 ± 1.8

0.07

Ridge

58 ± 33

58 ± 33

98.2 ± 1.1

47 ± 31

47 ± 31

97.8 ± 2.5

0.06

L2-L1

80 ± 50

80 ± 50

97.2 ± 1.2

80 ± 47

80 ± 47

96.4 ± 2.5

0.02

LSTM

112 ± 85

112 ± 85

96.1 ± 2.6

138 ± 74

138 ± 74

94.7 ± 3.3

4.36

Bi-LSTM

130 ± 101

130 ± 101

96.0 ± 2.7

131 ± 73

131 ± 73

94.7 ± 4.0

7.25

GRU

112 ± 72

112 ± 72

96.5 ± 2.3

125 ± 80

125 ± 80

95.1 ± 3.4

4.32

KF

102 ± 36

102 ± 36

96.9 ± 1.2

115 ± 70

115 ± 70

95.2 ± 1.9

0.02

AL (30 s)

44 ± 23

44 ± 23

98.3 ± 0.6

45 ± 31

45 ± 31

98.0 ± 1.7

0.99

  1. The best performing model for gating errors is shown in bold.
  2. PW prediction window, Crossing crossing on/off error, Gating gating on/off error, Gat-acc gating accuracy, KF Kalman filter, AL adaptive linear, 30 s using only the first 30 s as the burn-in period.