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Table 3 Deviation between true and predicted tumor volumes using different time intervals between measurements

From: The initial engraftment of tumor cells is critical for the future growth pattern: a mathematical study based on simulations and animal experiments

Measuring frequency (days between measurements)

\( \overline{\boldsymbol{RMSE}} \)

Absolute mean deviation from true volume at depth d [mm3]

1

3

5

10

1

79.00

28.37 (16.64; 40.1)

33.76 (20.15; 47.37)

38.97 (23.4; 54.54)

51.03 (30.67; 71.39)

2

84.06

57.22 (39.19; 75.25)

66.54 (45.92; 87.16)

76.49 (53.9; 99.08)

99.28 (72.07; 126.49)

3

83.94

49.8 (37.8; 61.8)

59.04 (45.27; 72.81)

68.01 (52.04; 83.98)

91.18 (71.16; 111.2)

4

90.79

84.99 (59.68; 110.3)

98.42 (68.92; 127.92)

111.56 (77.93; 145.19)

143.3 (100.89; 185.71)

  1. The absolute mean deviation values based on 20 synthetic samples of Gompertzian growth. Indicated are the absolute mean values for each measurement frequency and the corresponding depth
  2. () = 95% confidence interval. Parameter V0 was set to 1 mm3 during the fitting procedure. The mean RMSE was calculated based on the model fit in the period under consideration from day 23 to day 43
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BMC Cancer

ISSN: 1471-2407

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