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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