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Fig. 1 | Radiation Oncology

Fig. 1

From: On the analysis of clonogenic survival data: Statistical alternatives to the linear-quadratic model

Fig. 1

The linear-quadratic model can differentiate clonogenic survival curves with varying contributions of the linear and the quadratic terms but fails to reflect the overall steepness of the curves. Three-parameter log-logistic regression represents an interesting alternative. Hypothetical clonogenic survival curves with different α/β ratio and overall steepness were constructed. Curves with identical α/β ratio but different steepness are shown for α/β=20 Gy (a) and α/β=0.5 Gy (b). In (c), curves with different α/β ratio (3 or 20 Gy, respectively), but similar overall steepness are depicted. d Three-parameter log-logistic model with parameters ϕ 1, ϕ 2 and ϕ 3

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