where D is the total physical dose, d is the physical dose per fraction
and α/β is the biological coefficient specific for each
tissue. α and β are the coefficient of non-repairable and
repairable damage, respectively.
The radiation survival probability (S) can be derived from the BED:
Download the source code for this applet.
References:
Dale, RG. The application of the linear quadratic dose effect equation to fractionated and protracted radiotherapy. Br J Radiol, 58:515-28, 1985
Oldham M. Radiation physics and applications in therapeutic medicine. Phys Educ., 36:460-67, 2001.