THEORY
|
MODEL
|
REFERENCES
|
SURVIVAL
FUNCTION
|
VARIABLES
|
TARGET
THEORY
|
Single-hit
|
Lea
(1955)
|
S = e-D / D0
|
- Dose
|
|
Multi-target
single-hit |
S = 1- (1- e-qD)n
|
-
Dose
- Probability to hit a target
- Total number of targets
- Number of targets hit
|
|
Multi-target
single-hit
|
S
= e-q1D [ 1- (1- e-qn D)n ]
|
|
Revised model
|
Sigle-target multi-hit |
|
|
Single-target
two-hits
|
Joiner &
Johns |
|
S=e-αR [1 + ( αS / αR -1) e-D/Dc] D–ß
D
|
|
|
MOLECULAR
THEORY
|
Radiation
action
|
Chadwick and
Leenhouts
(1981)
|
S
= e–p
( αD + ßD )
|
-
Dose
- Number of times a target is hit
- Conditional probability function
|
Linear-quadratic model
|
Dual
radiation action
|
Kellerer and Rossi
(1971)
|
S
= S0e-
k (ξ D
+ D )
|
- Dose
- Biological effectiveness factor
- Fraction of dose related to SSBs and to DSBs
- Unrestored fraction of bonds
- Effectiveness factor
|
|
Repair-misrepair
|
Tobias et al.
(1980)
|
S
= e-αD[1+(αDT/ε)]ε
|
- Dose
- Max time for repair
- Linear repair constant
- Quadratic repair constant
- Probability for linear repair
- Probability for quadratic repair
|
Linear repair
- quadratic misrepair
|
Repair-misrepair
|
S
= e-αD[1+(αD/ε)]εΦ
|
Linear repair -
misrepair
|
Lethal-potentially
lethal
|
Curtis
(1986)
|
S=exp[-NTOT[1+
NPL /
[ε (1-e-εBAtr)]
]ε ]
|
- Dose
- Max time for repair
- Number of lethal lesions
- Number of potentially lethal lesions
- Constants related to lesion processes
- Constants related to repair processes
|
|
Lethal-potentially
lethal |
S
= e-ηAC D
|
Low dose
approximation
|
Lethal-potentially
lethal
|
-
ln[ S(t)] =
(ηAC + ηAB)
D–ε ln[1 +(ηABD/ε)(1–e-εBA tr)]
|
High dose
approximation
|
Lethal-potentially
lethal |
-
ln[ S(t)] =
(ηAC + ηAB e-εBAtr )
D + (η2AB/2ε)(1–e-εBA tr)2 D2] |
Linear-quadratic
approximation
|