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Table 3 The biological constraints and additional physical constrains used in BMO

From: An integrated strategy of biological and physical constraints in biological optimization for cervical carcinoma

Structures Model or constraints Parameters
PTV TCP Poisson-LQ \( {D}_{50} \) =77.6Gy, \( \gamma \) =1.2, \( \alpha /\beta \) =10Gy
Target EUD D = 54Gy, a = 0.1
Max Dose D = 58Gy
Uniformity constraint Std. dev = 2%
OARs Rectum NTCP LKBar \( {D}_{50} \) =80Gy, \( \gamma \) =3.9, n = 0.06, m = 0.15
NTCP LKBbr \( {D}_{50} \) =81.8Gy, \( \gamma \) =3, n = 0.29, m = 0.22
NTCP Poisson-LQcr \( {D}_{50} \) =80Gy, \( \gamma \) =2.2, \( \alpha /\beta \) =3Gy, s = 1
Max EUD D (variable), a = 1
Bladder NTCP LKBab \( {D}_{50} \) =62Gy, \( \gamma \) =6, n = 0.13, m = 0.11
NTCP Poisson-LQbb \( {D}_{50} \) =80Gy, \( \gamma \) =3, \( \alpha /\beta \) =3Gy, s = 0.18
Max EUD D (variable), a = 1
Femur-heads NTCP Poisson-LQ \( {D}_{50} \) =65Gy, \( \gamma \) =2.7, \( \alpha /\beta \) =3Gy, s = 1
Max EUD D (variable), a = 1
Small bowela NTCP Poisson-LQ \( {D}_{50} \) =53.6Gy, \( \gamma \) =2.3, \( \alpha /\beta \) =3Gy, s = 1.5
B-P Max Dose D = 50Gy
  1. The superscripts of NTCP models denote the different biological models of rectum and bladder which will be used in the results section
  2. aThe small bowel was not involved in biological optimization. The biological parameter was just used for the biological evaluation