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Calculating the mean inactivation dose.

Fertil et al. (1) suggest the mean inactivation dose (MED) as a useful measure of radiosensitivity; see also Tucker (2) for a comparison of MED and the surviving fraction at 2 Gy. Fertil et al. show in the appendix how the MED, D = fo? S(D)dD, can be calculated by numerical integration for the linear-quadratic survival curve. In fact the calculation can be performed in a much simpler way by using normal distribution function tables, which are published in most statistics books. For S(D) = exp(-aD-/3D2) it can be shown that