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. Author manuscript; available in PMC: 2019 Nov 15.
Published in final edited form as: Int J Radiat Oncol Biol Phys. 2018 Jun 1;102(4):1265–1275. doi: 10.1016/j.ijrobp.2018.05.049

Table 3.

Population-level model parameters and standard deviations describing the expected dose-function response stratified by functional categorization at baseline (95% confidence intervals)


RT modality/time point E[αj] = α sd[αj] E[μj] = μ sd[μj] γ

Conventional RT/Mid-Tx 0.71 (−0.25 to 1.66) 46.6 (−102.6 to 195.8) - 53.8 (−5.4 to 113.1)
Conventional RT/3Month Post-Tx 1.26 (1.19–1.33) 0.16 (0.13–0.21) 25.1 (20.6–29.6) 13.2 (10.3–16.9) 13.0 (11.9–14.1)
Conventional RT/1Year Post-Tx 1.23 (1.10–1.37) 0.23 (0.16–0.32) 17.9 (14.9–20.9) - 15.4 (12.6–18.1)
SBRT/Mid-Tx 0.51 (0.43–0.59) 0.13 (0.09–0.18) 34.2 (19.1–49.3) 58.4 (41.5–75.2)
SBRT/3Month Post-Tx 0.86 (0.77–0.94) 0.16 (0.11–0.23) 14.6 (4.0–25.1) 19.8 (13.4–29.2) 13.3 (11.6–15.1)
SBRT/1Year Post-Tx 1.19 (1.02–1.36) 0.22 (0.13–0.38) 26.0 (14.1–37.9) 15.8 (9.1–27.2) 15.1 (13.3–16.9)

RT modality/time point ω1 ω2 ω3 σ λ

Conventional RT/Mid-Tx −0.90 (0.32 to −2.12) −0.72 (0.26 to −1.69) −0.45 (0.16 to −1.07) 0.51 (0.46–0.57) −0.15 (−0.17 to −0.14)
Conventional RT/3Month Post-Tx −1.17 (−1.13 to –1.22) −0.89 (−0.85 to −0.93) −0.53 (−0.49 to −0.56) 0.29 (0.25–0.32) −0.10 (−0.12 to −0.08)
Conventional RT/1Year Post-Tx −1.15 (−1.06 to −1.24) −0.85 (−0.77 to −0.93) −0.53 (−0.46 to −0.59) 0.44 (0.37–0.53) −0.12 (−0.14 to −0.09)
SBRT/Mid-Tx −0.57 (−0.50 to −0.63) −0.43 (−0.38 to −0.49) −0.29 (−0.25 to −0.33) 0.21 (0.20–0.22) −0.09 (−0.10 to −0.08)
SBRT/3Month Post-Tx −0.83 (−0.81 to −0.86) −0.58 (−0.55 to −0.60) −0.32 (−0.30 to −0.35) 0.17 (0.16–0.18) −0.07 (−0.08 to −0.05)
SBRT/1Year Post-Tx −1.04 (−0.98 to −1.09) −0.69 (−0.64 to −0.73) −0.38 (−0.33 to −0.43) 0.27 (0.25–0.30) −0.13 (−0.14 to −0.11)

Abbreviations: 1Year Post-Tx = 1 year post-treatment; 3Month Post-Tx = 3 months post-treatment; GTV = gross tumor volume; Mid-Tx = midcourse treatment; SBRT = stereotactic body radiation therapy.

Models with “-" listed in the sd[μj] column were unable to converge using patient-specific midpoints; thus, the same population-level midpoint was given to all patient in that cohort. The number of patients contributing to each model is the same as shown in Table 2.