Table 2 Radiation therapy efficacy coupling approaches

C₁

Logistic

\( {C}_I={C}_{LT}=1-{\phi}_T\left(\overline{x},t\right)/{\theta}_T\left(\overline{x},t\right) \)

C₂

Linear quadratic (LQ)

C_I = 1 − exp(−α ⋅ Dose − β ⋅ Dose²), C_LT = 1 − C_I

C₃

Vascular

\( {C}_I=\exp \left(-\left({\theta}_V-{\phi}_V\left(\overline{x},t\right)\right).{\alpha}_3\right),{C}_{LT}=1-{C}_I \)

C₄

Oxygen enhanced

\( {\displaystyle \begin{array}{l} OER={\phi}_V\left(\overline{x},t\right)/\overline{\phi_{V, pre- treatment}}\\ {}{C}_I=1-\exp \left( OER\cdot \left(-\alpha \cdot Dos e-\beta \cdot Dos{e}^2\right)\right),{C}_{LT}=1-{C}_I\end{array}} \)

C₅

None

C_I = 1, C_LT = 1