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Table 1 Results of direct curve fitting of the exponential and the Gompertzian growth models to tumour volume data from two patients

From: A new method to estimate parameters of the growth model for metastatic tumours

Patient (year of birth) Tumour type Tumour (V cm3) Number of data points Growth model
Exponential Gompertzian
     SGR0(%/day) Year of formation r2 SGR0(%/day) λ (1/d) Year of formation r2
1 (1952) Liver metastases from a primary midgut carcinoid A (614) 8 0.14 1947 0.972 1.1 0.0004 1983 0.988
B (171) 8 0.15 1956 0.992 0.2 0 1956 0.989
C (8) 3 0.22 1971 1.000 0.3 0 1976 0.954
D (9) 4 0.27 1978 0.997 1.3 0.0005 1991 1.000
E (4) 2 0.33 1982 1.000 - - - -
F (3) 2 0.31 1982 1.000 - - - -
2 (1941) Lung metastases from a primary renal cell carcinoma A (82) 3 0.32 1973 0.998 3.8 0.0014 1992 1.000
   B (635) 19 0.24 1968 0.992 0.5 0.0001 1977 0.993
   C (489) 12 0.33 1976 0.939 0.4 0 1977 0.938
   D (54) 7 0.38 1980 0.986 1.8 0.0006 1991 0.990
   E (8) 6 0.14 1953 0.798 0.1 0 1953 0.791
   F (11) 5 0.22 1970 0.946 0.4 0.0001 1978 0.944
   G (7) 4 0.39 1983 0.998 0.5 0 1987 0.970
  1. SGR0, r, and λ are the SGR value at the time of tumour formation, the correlation coefficient, and the Gompertzian growth deceleration constant, respectively. Curve fitting of the Gompertzian model was not possible for liver tumours E and F because too few data points were available. V: Maximum tumour volume.