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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.