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Table 5 Summary of the models for both BED doses calculated at isocenter and PTV edge; all fit parameter values are provided with standard errors (and 68 % CI). This table includes the maximum likelihood ratio tests for comparison between the corresponding LQ and LQ-L models with α/β = 10 Gy

From: Challenges in radiobiological modeling: can we decide between LQ and LQ-L models based on reviewed clinical NSCLC treatment outcome data?

Model concept and dataset α/β (std error) [Gy] Dt (std error) [Gy] TCD50CI 68 % [Gy] k CI 68 % [Gy] γ50(std error) [%/%] AIC Likelihood ratio test LQ vs LQL: Dataset, Df, LogLik, Df, Chisq, Pr (>Chisq)
ISOCENTER
LQ fixed α/β CF + HF α/β = 10 - 48.3 (23.8–62.4)* 44.7 (32.1–64.8)* 0.27 (0.1) −4438.1 Isocenter, all data 4, 2223.8, 1, 3.42, 0.064
  CF α/β = 10 - 68.9 (50.7–74.4)* 20.5 (13.1–50.0) 0.84 (0.5) −186.4 -
  HF α/β = 10 - −60.2 (−189–3.2) 113.3 (73.4–190.1)* −0.13 (−0.17) −2625.2 Isocenter, HF 4, 1316.4, 1, 1.68, 0.195
LQ-L fixed α/β CF + HF α/β = 10 11 (8.4–16.7)* 44.7 (24.2–58.2)* 46.7 (35.1–63.2)* 0.24 (0.11) −4439.6  
  HF α/β = 10 9.8 (5.2–15.0) 1.0 (na–23.8) 71.4 (54.2–79.6) 0.0 (0.15) −2624.8  
LQ: free α/β, TCD50 and k CF+ HF 3.9 (2.2–9.0) - 17.8 (na–56.4) 130.9 (50.1–na) 0.0 (0.15) −4441.6  
  CF 3.8 (na) - 90.7 (na)* 19.7 (na) 1.15 (0.64) −186.6  
PTV EDGE
LQ fixed α/β CF + HF α/β = 10 - 28.0 (−0.7–43.1) 39.7 (28.1–60.5)* 0.18 (0.13) −4430.1 PTV Edge, all data 4, 2218.3, 1, 0.614, 0.433
  CF α/β = 10 - 64.2 (48.6–69.3)* 19.5 (12.5–44.6)* 0.82 (0.47) −186.6  
  HF α/β = 10 - −19.9 (−93.5–14.5) 64.4 (42.9–108.1)* −0.08 (−0.16) −2625.9 PTV Edge, HF 4, 1315.9, 1, 0.009, 0.925
LQ-L fixed α/β CF + HF α/β = 10 12.4 (8.3–na) 26.1 (na) 40.8 (na–60.2) 0.16 (0.13) −4428.7  
  HF α/β = 10 9.9 (5.5-na) 1 (na–18.0) 50.9 (40.0–55.3) 0 (0.15) −2623.9  
LQ: free α/β, TCD50 and k CF+ HF 1.7 (1.3–4.1) - 29.8 (na–68.2) 161.1 (60.4–na) 0.0 (0.13) −4443.5  
  CF 4.1 (na) - 81 (na) 20.4 (na) 0.99 (na) −186  
  1. D t dose threshold, TCD 50 tumor control dose 50 %, AIC Akaike information criterion, Df degrees of freedom, LogLik log-likelihood, Chisq chi-square, PTV planning target volume
  2. *p value < 0.05