5. The survival rate (i.e., the chance of survival) S(D) of clonogenic cells (cancer cells)
exposed to a radiation treatment can be modelled by
$$S(D) = e^{-0.5D^2 - D}$$
where D≥ 0 represents the applied radiation dose (measured in grays, Gy).
(a)[2] What is S(0)? Does it make sense?
(b) [3] Sketch the semilog graph (use In) of the survival rate for D≥ 0. Label the axes.