Introduction

Mammalian cell death after exposure to radiation after a dose D of radiation often follows the linear-quadratic model.

Step by step

Create an XY table. Enter radiation doses into X and fraction dead cells into Y.  After entering data, click Analyze, choose nonlinear regression, choose the panel of linear-quadratic equations, and choose Linear quadratic: Y is fraction dead.

Model

 Y = 1.0 - exp(-1*(A*X + B*X^2))

Interpret the parameters

X: Dose of radiation

Y: Fraction of cells dead

A: Coefficient for linear killing

B: Coefficient for quadratic killing