Linear-quadratic radiobiology model
= Linear-quadratic radiobiology model
{title2=$-\ln S=\alpha d+\beta d^2$}
A model for surviving fraction $S$ after radiation dose $d$. Independent fully repaired fractions add their logarithmic effects. For $N$ equal fractions and no repopulation, dividing the total log kill by $\alpha$ gives the <biologically effective dose> $Nd(1+d/(\alpha/\beta))$. Comparing tissue types requires their own parameters and the same stated repair assumptions.