# Linear-quadratic dose response model

A statistical model that expresses the frequency of an effect (e.g., disease, death, or abnormality) as the sum of two components, one proportional to dose (linear term) and the other one proportional to the square of dose (quadratic term).

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### from ICRP Publication 131, 2015

A statistical model that expresses the risk of an effect E (e.g. disease, death, or abnormality) as the sum of two components: one proportional to dose (linear term) and the other proportional to the square of dose (quadratic term).

*E=αD+βD ^{2}*, where D is dose. For cell survival:

*S =exp-(αD+βD*.

^{2})### from ICRP Publication 103, 2007 & from ICRP Publication 118, 2012

A statistical model that expresses the risk of an effect (e.g., disease, death, or abnormality) as the sum of two components, one proportional to dose (linear term) and the other one proportional to the square of dose (quadratic term).