# Multitarget equation

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Model that assumes the presence of a number of critical targets in a cell, all of which require inactivation to kill the cell. Surviving fraction of a cell population is given by the formula:

[math] P(x) = S = 1 - (1 - e^{{-xD}})^n [/math],

where S = probability of survival, D = a dose that causes a mean of one-hit per cell (mean lethal dose), x = number of hits per cell, and n = number of targets (required number of hits for cell death). (Adopted from Little JB. Cellular effects of ionizing radiation. N Engl J Med. 1968;278:369–76)

((ICRP Publication 118, 2012)

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