Theoretical cell survival curves, (a) showing the linearity of the
exponential -αd relationship and the curvature
provided by the -βd2 relationship, and their summation
as -αd-βd2, which shows only initial linearity followed by
increasing curvature, (b) the survival curves for a single dose of 2
Gy, 4 Gy and a ‘split’ dose of 2 × 2 Gy
after an interval of time that has allowed near complete repair of
sub-lethal damage. An example of incomplete repair is shown by the grey
2 × 2 Gy* plot where the second dose of 2 Gy
has been delivered after a shorter interval of time that allows
substantial amounts of incompletely repaired damage to form more lethal
events during the second 2 Gy fraction, resulting in a higher survival
fraction than in the other 2 × 2 Gy case.