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Table 3 Model parameters for radiation response: clinical GKSRS casesa

From: A mathematical model of tumor growth and its response to single irradiation

  

Clinical case number

Parameters

Unit

1

2

3

4

5

α

1/Gy

0.09

0.19

0.19

0.1

0.05

Tumor doubling time T d (0)

days

29.0

6.0

9.0

6.6

7.8

Cell clearance time T cl

days

13.0

38.0

40.0

10.0

20.0

Retardation factor θ

No dim.

0.62

0.77

0.53

0.78

0.99

Mean dose

Gy

38.3

21.2

26.0

22.0

24.3

Initial volume

cm^3

0.126

0.0065

0.271

0.031

0.101

Irradiation day for GKSRS

day

34

117

22

78

29

Tumor volume at GKSRS

cm^3

0.268

0.392

0.662

6.933

1.314

Tumor doubling time at GKSRS

days

32.6

28.0

11.2

16.1

7.9

Volume ratio, R40 b

 

0.16

0.57

0.58

0.69

10.0

% Cell survival fraction

 

2.24

6.03

1.99

25.4

70.0

  1. aIn all cases, α/β = 10, τ rad  = 8 days, TCC = 1 day, and Tm = 10 days
  2. bR40 = the ration of the volume on the 40th day after GKSRS and the volume at GKSRS